How many solutions to y=2x-3 y=-x+3

Answers

Answer 1

Answer:

One solution, as there is only one intersection between these two lines.

x = 2, and y = 1 (point of interesection (2, 1) )

y = 2x-3

y = -x + 3

first step is to substitute the y of one equation into the other and solve for x.

- x + 3 = 2x - 3

___________

+x. +x

_____________

3 = 3x-3

_____________

+3 +3

____________

6 = 3x

_____________

÷3 ÷3

_______________

2 = x

______________

x = 2

_______________

We can verify this value is true by substituting it back into the equations and as a result also solving for the working y value.

x = 2 -> y = 2(x) - 3

2(2) - 3 = 4 - 3 = 1

y = 1

____________

x = 2 -> y = -(x) + 3

-(2) + 3 = -2 + 3 = 1

y = 1


Related Questions

Try solving the equation 2x + 20 = 12x​

Answers

Answer:

x = 2

Step-by-step explanation:

2x + 20 = 12x

First, we have to put our exponent on the same side of our equation

2x + 20 = 12x

-2x            -2x

20 = 10x

Now, we have to divide by 10 on both sides to get our exponent on its own (x)

20 = 10x

÷10   ÷10

2 = x or x =2

Hope this Helps! :)

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

-SGO

So anyone know the answer to this question

Answers

Answer:

D, 5

Step-by-step explanation:

1) 2 times 6 is 12

2) 12+3 = 15

3) 15/3 = 5

Solve the simultaneous equations 3x- 4y =20 and 4x-2y = 25

Answers

Answer:

(6, - [tex]\frac{1}{2}[/tex] )

Step-by-step explanation:

Given the 2 equations

3x - 4y = 20 → (1)

4x - 2y = 25 → (2)

Multiplying (2) by - 2 and adding to (1) eliminates the y- term

- 8x + 4y = - 50 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 30 ( divide both sides by - 5 )

x = 6

Substitute x = 6 into either of the 2 equations and evaluate for y

Substituting into (1)

3(6) - 4y = 20

18 - 4y = 20 ( subtract 18 from both sides )

- 4y = 2 ( divide both sides by - 4 )

y = [tex]\frac{2}{-4}[/tex] = - [tex]\frac{1}{2}[/tex]

Solution is (6, - [tex]\frac{1}{2}[/tex] )

The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equations are given below.

3x - 4y = 20            ...1

4x - 2y = 25

8x - 4y = 50            ...2

Subtract equation 1 from equation 1, then we have

8x - 4y - 3x + 4y = 50 - 20

5x = 30

x = 6

The value of the variable 'y' will be given as,

3(6) - 4y = 20

18 - 4y = 20

4y = - 2

y = - 0.50

The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

3(8 - 7) = 2(10 + 8)

Answers

Answer:

3(8-7)=2(10+8)

3(1)=2(18)

3= 36

I don't know what your instructions say but this is false. 3 is not equal to 36.

what mistake did they make? ​

Answers

Answer:

this is not a good angle cant see it that well

Step-by-step explanation:

Answer:

the mistake is that the person added 2x by-4x which should've been -2x

Step-by-step explanation:

-4x+2x is basically saying 2-4 which is -2

Miranda has borrowed $2000 from Bank of America to help pay for a flat screen TV. The $2000 was obtained at a rate of 5% for a period of 36 months. How much will she have paid for the TV after the 36 months?

Answers

Answer:

u get 300

Step-by-step explanation:

so what ur looking for is the "I" and first we covert 36 months in 3 years the do this set up 2000(0.05)3

plzz need help
help a fellow brainly

Answers

Step-by-step explanation:

b= -2A-a

---------------

h

The third option is right

HAVE A GOOD DAY!

Answer:

its the third one

Step-by-step explanation:

Cuantos casos de co vid hay en colombia 26 de octubre y cuantos casos y muertes reportan hoy?

Answers

Answer:

The country's capital is the region most affected by the pandemic. So far it has registered 308,645 positive cases. In recent weeks there has been an increase in cases, however, the Intensive Care Units continue to be controlled. Bogotá has been experiencing economic reactivation for several weeks, but they do not rule out some drastic measures in the future

Step-by-step explanation:

Write the word sentence as an equation. Then solve.

10 more than a number c is 3.

Answers

Answer:

10+c=3

Step-by-step explanation:

to solve this you would then subtract 10 from both sides, to get c by itself.

3-10= -7

Your answer would be -7 and the equation would be 10+c=3.

What is the prime factorization of 72?​

Answers

Answer:The prime factorization for 72 is 2×2×2×3×3

If f(x)=3x+12, find the value of x so that f(x)=36
with steps please!

Answers

Answer:

x = 8

Step-by-step explanation:

36 - 12 = 24

24/3 = 8

Identify the angles that each have a measure of 124º.

Answers

Answer:

Angle 1, angle 3 and angle 7 will be the equal angles.

Step-by-step explanation:

In the figure attached,

Two lines are parallel and a transversal line is intersecting these parallel lines.

Congruent angles to the angle measuring 124° will be,

m(∠7) = 124° [Vertical angles]

m(∠1) = 124° [Corresponding angles]

m(∠3) = 124° [Alternate interior angles]

Therefore, ∠1, ∠7 and ∠3 will measure the same as 124°.

11/12 - (1/3 + 1/4) =?

Answers

Answer:

I won't put a step by step since I converted the equations into decimals which I don't think will help you.

Step-by-step explanation:

0.33 or -0.33 depends on which you look at it.

Solve the equation for the specified variable. Y=AB-2, For A

Answers

Answer:

b = 1

b = -1

a = 0

Step-by-step explanation:

One-third x + one-sixth y = 2. When x is 3, 1 x + StartFraction 3 Over 6 EndFraction y = 6. One-half x + three-fourths y = negative 3. When x is negative 2, negative 1 x minus StartFraction 6 Over 4 EndFraction = 6. Negative 1 y = 12. Continue solving the system of equations. What is the solution to the system? ( 1 , 3

Answers

Answer:

that makes no sense buttt HEYYY

Step-by-step explanation:

Answer:

12,-12

Step-by-step explanation:

i just did it

A sculptor is designing her new triangular masterpiece. In her scale​ drawing, the shortest side of the triangular piece to be made measures 9cm The longest side of the drawing measures 37cm The longest side of the actual triangular piece to be sculpted must be 16.3m long. How long will the shortest side of this piece​ be?

Answers

Answer:

396.5cm or 3.965m

Step-by-step explanation:

A sculptor is designing her new triangular masterpiece. In her scale​ drawing,

Scale Drawing

The shortest side = 9cm

The longest side = 37cm

Actual Drawing

The longest side of the actual triangular piece= 16.3m long.

We convert from meter to cm

1m = 100cm

16.3m =

Cross Multiply

= 16.3 m × 100cm/m

= 1630cm

How long will the shortest side of this piece​ be?

Let the shortest side be represented by x

9/37 = x/1630

Cross Multiply

37x = 9 × 1630

x = 9 × 1630/37

x = 396.48648649cm

≈ 396.5cm

Or converting to meter

= 396.5cm/100

= 3.965m

Fuji apples grown at a certain orchard have a mean weight of 5.2 ounces with a standard deviation of 0.8 ounces. Suppose the scale the orchard owner uses systematically underweighs apples by 0.2 ounces and also weighs the apples in grams, rather than ounces. What would the mean and standard deviation of these apples' weights be as determined by this scale? (Note: 1 ounce ≈ 28 grams).

Answers

Answer:

Mean 140 grams

Standard deviation 22.4 grams

Step-by-step explanation:

What would the mean and standard deviation of these apples' weights be as determined by this scale? (Note: 1 ounce ≈ 28 grams).

Mean = 5.2 ounces.

First step would be to convert from ounces to grams

1 ounce = 28 grams

5.2 ounces =

5.2 ounces × 28 grams

= 145.6 grams

He underweighs by 0.2 ounces

We convert this too

1 ounce = 28 grams

0.2 ounce =

0.2 ounce × 28 grams

= 5.6 grams.

The new mean weight of the Fuji apples is grams = 145.6 grams - 5.6 grams = 140 grams.

Standard Deviation = 0.8 ounces.

Even though he underweighed that apples by 0.2 ounces, there has minimal effect on the standard deviation of the apples.

Hence, the standard deviation if the apples in grams =

1 ounce = 28 grams

0.8 ounce =

0.8 ounce × 28 grams

= 22.4 grams

Do you hate when people don’t answer your questions

Answers

Answer:

yes

Step-by-step explanation:yes

The diagram below shows y as a functional of x, True or False?
A)True
B)False

Answers

Answer:

False

Step-by-step explanation:

A function can't have 2 y-intercepts so y is not a function of x

Answer:

I believe it is A.

step-by-step explanation:

Because on the grid it is the Y corrdinate and the X coordinate so I belive it id True.

Hope it helps!

Have a brainly day! :D

I need your help please.

Answers

Answer:

1. y-int=5, concave up, a greater than 0

2. y-int=-3, concave down, a less than 0

3. y-int=0, concave up

Step-by-step explanation:

Find an expression which represents the sum of (6x – 4) and (-2x + 5) in simplest terms.​

Answers

Answer:

5

Step-by-step explanation:

because if you add -2x and 5 you would get 3 also if you subtract 6x-4 you would get 2x so add 2x and 3x then you would get five

12 Which numbers are irrational? Choose all that apply.
A √ 26
B 5.87
C √ 144
D 2.161161116...
E 2/3

Answers

option a and option d

A bird leaves its nest and travels 10 miles per hour downwind for 3 hours. On the return trip, the bird travels 2 miles per hour slower and has 4 miles
left after 2 hours.
How long does the entire trip take?

Answers

Answer:

5 hours

Step-by-step explanation:

10-2=8 now add the hours

what is 8 1 2 times 11

Answers

Answer:

[tex]8\frac{1}{2}*11=93\frac{1}{2}[/tex]

Step-by-step explanation:

Simplify the expression.

At school 2 out of every 5 students in the sixth grade are members of the band which ratio represents the number of 6th graders that are not members of the band

Answers

Answer:3:5

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

had that answer

4. If S is in the interior of ZPQR , then mZPQS + m_SQR = m_PQR.
a. Protractor Postulate
b. collinear
c. angle bisector
d. angle
e. Angle Addition Postulate

Answers

E because it make sense

Find the slope of the given linear function shown in the graph?

Answers

Answer:

-2

Step-by-step explanation:

Pick a point the count down 2 and right 1 to the next point

Since it goes down and to the right its negative

Answer:

-2

Step-by-step explanation:

Rise over run. It went down which means it's a negative. Then it went right (run).

Which is the equation of a line that has a slope of 4 and passes through point (1, 6)?
y = 4x – 2
y = 4x + 6
y = 4x + 2
y = 4x – 3

Answers

Answer:

y = 4x + 2

Step-by-step explanation:

Answer:

c on edge

Step-by-step explanation:


Cindy peeled 9 oranges every 24 minutes. At that rate, how many
would she peel in 32 minutes?

Answers

Answer:

12

Step-by-step explanation:

9/24 = 0.375 (how many peeled per minute)

0.375 x 32 = 12

Answer:

12 oranges

Step-by-step explanation:

Step 1:

9/24 = x/32        Equation

Step 2:

24x = 288        Multiply

Step 3:

x = 288 ÷ 24        Divide

Answer:

x = 12

Hope This Helps :)

Miss Palmer weighs 155 pounds.If 1 pound is equal to .45kilograms, how much does miss Palmer weigh in kilograms?

Answers

Answer:

70.3068

explanation:

divide the mass value by 2.205

Answer:

69.75 kg

Step-by-step explanation:

1:0.45

155:x

x=155×0.45

x=69.75 kg

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