Solve this system of equation without graphing.
5x + 2y = 29
5x - 2y = 41

Answers

Answer 1

Answer: Solving  we get x=7 and y= -3

Step-by-step explanation: We need to solve the following systems of equations:

Let:

Adding eq(1) and eq(2)

So, value of x=7

Putting value of x in eq(1) to find value of y:

So, value of y = -3

So, Solving  we get x=7 and y= -3

Keywords: Solving system of Equations

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Related Questions

Identify the domain of the relation (-5, 10), (-2, 11), (1, 4), (5, 10) *

Answers

Answer:

-5,-2,1,and 5

Step-by-step explanation:

$20 is 2% of what #?

Answers

Answer:

1000$

Step-by-step explanation:

2%=20

1%=20/2=10

100%=10×100=1000

It’s 1000#
It is 1000#

Select all of the angles that have the same measure as angle 1. Assume the lines are parallel.



∠7
can't be determined
∠3
∠2
∠5
∠6
∠8
∠4

Answers

Answer:

3, 8, 6

Step-by-step explanation:

Please correct me if I am wrong!

The angles that have the same measure as angle 1 are ∠3, ∠6 and ∠8.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

A traversal line cuts two parallel lines.

So, ∠1 = ∠6. {From the property of opposite angles}.

And ∠1 = ∠3. {From the property of alternate interior angles}.

The property of opposite angles,

∠8 = ∠3.

So, the angle measures that are equal to ∠1 are:

∠3, ∠6 and ∠8.

Therefore, ∠3, ∠6 and ∠8 are the equal angle measures.

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A certain middle school opens at 7 A.M., and classes begin at 8 A.M. A sociologist gathered data on the number of minutes after 7 A.M. that a student arrives at school and the number of friends the student has on social media. The correlation between the two variables indicated a strong negative relationship. Which of the following is an appropriate interpretation of the correlation?

Answers

Answer:

As the number of minutes of arriving after 7 A.M. increases, the number of friends on social media tends to decrease.

Step-by-step explanation:

Correlation does not imply causation. Also, the negative relationship indicates that as the number of minutes of arriving after 7 A.M. increases, the number of friends on social media tends to decrease.

Ryan says that the sum of any two numbers is rational. Which of the following is a counterexample?
O 2 + 2 = 4
O 10 + 0.998987... = 10.998987...
0 +=1
5 +2.7 7.7

Answers

Answer: 10 + 0.998987... = 10.998987

Step-by-step explanation:

I just took the test today and this was the answer.

3) Consider the following linear equations:
y = x - 4 and -8y = 8x - 32

What are the intercepts of the line y=x-4 ?

x-value of x-intercept _____
y- value of y-intercept _____

Answers

X intercept is 4 and y intercept is -4

what is 5x × 12y - 8xy​

Answers

Answer:

52xy is the answear. Hope it helps

Step-by-step explanation:

Answer:

it's going to be 52xy.

if any of you have the same, then that's fine.

what is the value of 6x (power of 2) when x=1.5

Answers

so you’d put 1.5 by the 6 so it’d be 6(1.5) to the power of 2. then you’d do 1.5*1.5=2.25*6=13.5
The correct answer would be 13.5

Please help the picture is above. I’ll mark as brainliest.

Answers

Answer:

s= 2000n + 55000

comparing with y= mx +c

The slope of given line is 2000 which represents that  the salary of camden increases at the rate of 2000 per year .

Step-by-step explanation:

convert 4 5/6 into a decimal

Answers

Answer:

4.8333

Step-by-step explanation:

It is a repeating decimal. Hope it helps

The decimal form of the given fraction is 4.8333

What is decimal form?

Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point. For example, 12.5 is a decimal number.

Given that, convert 4 5/6 into a decimal,

The given mixed fraction is =

4 5/6

Converting into fraction,

29 / 6

Dividing 29 by 6, we get,

29 / 6 = 4.833

Hence, the decimal form of the given fraction is 4.8333

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Together, Matthew and Daniel have 67 DVDs. Matthew's collection has 3 times as many DVDs as Daniel's collection. Write an algebraic equation can be used to determine the number of DVDs in Daniel's collection. Use x as your variable.

Answers

Answer: 3x + x = 67To solve: 4x = 67                  /4.   /4x = 16.75

4x=67 is the  equation can be used to determine the number of DVDs in Daniel's collection.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Together, Matthew and Daniel have 67 DVDs.

M+D=67

Let x represents the number of DVDs

Matthew's collection has 3 times as many DVDs as Daniel's collection.

M=3D

Now M=D=x

As Matthew and Daniel have 67 DVDs.

3x+x=67

4x=67

Hence, 4x=67 is the  equation can be used to determine the number of DVDs in Daniel's collection.

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Solve the inequality:


4x−2≤6

Select one:

x≥1

x≤2

x≥2

x≤1

Answers

Answer:

x≤2

Step-by-step explanation:

To do this, first add over the 2. That makes 4x≤8. Then divide by 4. That make x≤2

Answer:

x≤2

Step-by-step explanation:

4x-2≤6 add to 2 to both sides

4x≤8 divide both sides by four

x≤2

Hope this helps! :)

Graph the line with slope of 53
5/3 and goes through the point (2,1).

Answers

Answer:

We kindly invite you to see the image attached for further details.

Step-by-step explanation:

From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:

[tex]y =m\cdot x +b[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):

[tex]b = y-m\cdot x[/tex]

If we know that [tex]y = 1[/tex], [tex]x = 2[/tex] and [tex]m = \frac{5}{3}[/tex], then the y-Intercept of the linear function is:

[tex]b = 1-\left(\frac{5}{3} \right)\cdot (2)[/tex]

[tex]b = -\frac{7}{3}[/tex]

Line with a slope of [tex]\frac{5}{3}[/tex] that goes through the point (2, 1) is represented by [tex]y = \frac{5}{3}\cdot x -\frac{7}{3}[/tex].

Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.

what is the inverse of f(x)? show the work
f(x)+3x+5

Answers

Answer:

[tex]f^-^1(x)=\frac{1}{3}x-\frac{5}{3}[/tex]

Step-by-step explanation:

To solve for the inverse, we need to switch the variables and solve for y.

Note that f(x) is the same as y or in other words, the output.

f(x) = 3x + 5

y = 3x + 5

~Switch variables

x = 3y + 5

~Subtract 5 to both sides

x - 5 = 3y

~Divide 3 to everything

1/3x - 5/3 = y

~Flip

y = 1/3x - 5/3

Best of Luck!

Which equation can be used to solve for the rate, r, for Sam to change all the light bulbs in the office building by himself? 3r = 3 r equals StartFraction 3 Over 8 EndFraction. 3r + 3 r plus StartFraction 3 Over 8 EndFraction equals 1. = 1 r + StartFraction 1 Over 3 EndFraction r plus StartFraction 3 Over 8 EndFraction r equals 1.R = 1 r + StartFraction 1 Over 3 EndFraction r plus StartFraction 1 Over 8 EndFraction r equals 1.R = 1

Answers

Answer:

3r + 3/8 = 1

r = 5/24

Step-by-step explanation:

Working together, sam and charlie can change all the light bulbs in the office building in 3 hours. it would have taken charlie 8 hours to do the job alone.which equation can be used to solve for the rate, r, for sam to change all the light bulbs in the office building by himself?

For the rate, r, for sam to change all the light bulbs in the office building by himself?

One job is involved

3r + 3/8 = 1

3r = 1 - 3/8

r = 1/3 - 3/8÷3

= 1/3 - 3/8 × 1/3

= 1/3 - 1/8

r = 1/3 - 1/8

r= 8-3/24

r = 5/24

B got it right on edge 2020

Write a line that is parallel to y = -3x -4​

Answers

Answer:

A parallel line to "y = -3x -4"

Is

"y = -3x"

Step-by-step explanation:

that are also equivalent to 0.5 + 10b + 4 = 19.5
A.106 +4= 19.5
B.10b + 4 = 19
C.2 (0.5 + 106 + 4) = 39
D.10b 19.5
E.10b = 15

Answers

Answer:

a⋅0.5+10b+4=19.5=a=−20b+31 ‍♀️I think that's the way I'm not sure!

Please help me find

Answers

Answer:

150 feet

Step-by-step explanation:

the ratio of her shadow to her height

2/5=60/150

60/150=2/5

i hope it is right

Answer:

The answer is C) 150 feet

Is rigth

Step-by-step explanation:

2/5=60/150

2/5= 0.4

60/150=0.4

d + 12 = 14 - 2d
Find d

Answers

Answer:

d = 2/3

Step-by-step explanation:

Answer:

I believe d=0.6666667 or 2/3

Step-by-step explanation:

d=2-2d

3d=2

d=0.66

It takes 4 people 10 hours to plaster a section of a building. How long will it take 8 people to
do the same job working at the same rate?

Answers

Answer:

5 hours

Step-by-step explanation:

Answer:

5 hours because you have double the people which means it would take half the time :)

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

I don't get this Please help asap!?

Answers

Answer:

Step-by-step explanation:

I think it’s 6

Answer:

it's 6 inches

Step-by-step explanation:

I measured it

Why is brainliest so important and why is leveling up so important

Answers

Answer:

Its is so u get points make me he brainlst thx

Step-by-step explanation:

Jackson was solving the problem below for k. However, he made a mistake.

19 - 2k = 3k - 1

+3k +3k

19 +1k = -1

-19 -19

k = -20



Part A: Identify the FIRST mistake Jackson made.

Part B: Solve for k.

Answers

Part A: Jackson added 3k instead of subtracting it from both sides.

Part B: 19 - 2k = 3k - 1
Subtract 3k from both sides
19 - 5k = - 1
Subtract 19 from both sides
- 5k = -20
Divide by -5 on both sides
K=4

−914+27. Write your answer as a fraction in simplest form

Answers

Answer:

2 goes into 94 whole times with 1 leftover, what does this mean?

Step-by-step explanation:

you turn 27 and 914 into fractions and add, then you simplify and well you know the answer.....right .....

A. It has point symmetry.
B. It has rotational symmetry with an angle of rotation of 120°.
C. It has reflectional symmetry with five lines of symmetry.
D. It has no rotational symmetry.
HELP WILL MARK BRAINLIEST.

Answers

Answer: C. It has reflectional symmetry with five lines of symmetry.

The five lines of symmetry are shown in the diagram below. Each line splits a flower petal in half. Each line also splits the entire flower in half. In other words, reflecting one half of a flower over any given line of symmetry, generates the other half of the flower.

The correct answer is C. The given figure has reflectional symmetry with five lines of symmetry.

Symmetry refers to the property of an object remaining unchanged when certain transformations are applied to it.

A. Point symmetry, also known as rotational symmetry, means that the object looks the same when rotated by a certain angle around a central point. However, a given figure does not have point symmetry since it does not look the same when rotated by any angle around a central point.

B. The statement that the flower has rotational symmetry with an angle of rotation of 120° is incorrect because, as mentioned above, it does not possess rotational symmetry.

C. The flower does have reflectional symmetry with five lines of symmetry. This means that the flower can be divided into five equal parts using five lines of reflectional symmetry, such that each part is a mirror image of the other.

D. The statement that the flower has no rotational symmetry is correct, as mentioned in A and B.

Therefore, the correct answer is C. It has reflectional symmetry with five lines of symmetry.

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What is the slope of the line that passes through the points (5.3) and (-4,-1)

Answers

Answer:

y = 4/9x + 1

Step-by-step explanation:

Write the equation of the line that passes
through the point (-6, 5) and has a slope of 2/3
in point-slope form.

Answers

Answer:

y-5=2/3(x+6)

Step-by-step explanation:

the figure below is a rhombus y = ?

Answers

Answer:

y = 28°

Step-by-step explanation:

The opposite angles of a rhombus are congruent.

The diagonal divides the rhombus into 2 isosceles triangles, as all sides are congruent.

Thus the triangle containing base angles y and w has vertex = 124°

Since the triangle is isosceles then the base angles are congruent , thus

y = [tex]\frac{180-124}{2}[/tex] = [tex]\frac{56}{2}[/tex] = 28°

Define constant of proportionality.

Answers

Answer:

Step-by-step explanation:

The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX. The constant of proportionality is, the value of Y is dependent on how the given value of X is effected by the constant of proportionality.

is the function y= sin(x)/x even, odd or neither

Answers

the function is odd

The function y = sin(x) / x is an even function.

What is an even function?

Even Function - A true function f(x) is said to be an even function if the output value of f(-x) is the same as the f(x) for all values of x in the domain of f.

The equation should be stored in an even function:

f(-x) = f(x)

The function is given as,

y = sin(x) / x

Put x = -x, then we have

y = sin(-x) / (-x)

y = -sin(x) / (-x)

y = sin(x) / x

The function y = sin(x) / x is an even function.

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