In order to solve the following system of equations by elimination, which process creates opposite coefficients to eliminate the y variable?

2x + y = 5
x + 4y = -7


A. Multiply the first equation by 4

B. Multiply the second equation by 2

C. Multiply the first equation by -4

D. Multiply the second equation by -2

Answers

Answer 1

Answer:

C. Multiply the first equation by -4

Step-by-step explanation:

Hi there!

In order to eliminate the y values, we would have to find a number in which the sum of the top y value and the bottom y value would equal 0. In this case, the bottom y value is equal to +4 (the +4y), so we would have to find the number that would add to make that 0, which is -4. Since the y value for the top equation is 1, all we have to do is multiply the equation by -4 so that our y value is equal to -4y and the y can be eliminated.

I hope this helps!!


Related Questions

Simplify the linear expression. −4x+5(−5x−1) Enter your answer in the box.

Answers

Answer:

-29x - 5

Step-by-step explanation:

-4x - 25x - 5 = -29x - 5

Answer:

- 29x - 5

Step-by-step explanation:

- 4x + 5(- 5x - 1) ← distribute the parenthesis by 5

= - 4x - 25x - 5 ← collect like terms

= - 29x - 5

What is the slope of the line containing (-3, 1) and (1, -2)?

Answers

Answer:

C is the answer

Step-by-step explanation:

Answer: The answer is C, -3/4.

Explanation: First graph the points, then add the straight line through them and to find the slope you do rise/run, formula being y2-y1/x2-x1. This means putting the second y value minus the first y value and dividing that by the second x value minus the first x value. Then simplify.

1 2/5m-3/5(2/3m+1)pls help

Answers

Answer:  (10m-3)/5

Step-by-step explanation:

Convert 1 2/5 into an improper fraction

Simplify  5+25+2  to  7

Simplify 2/3m to 2m/3

Simplify 7/5m to 7m/5

Expand and remove the parenthesis

Collect the like terms

Simplify

Quantity is proportional of 40/8

Answers

The answer is 5
40/8=5

Mrs. Montgomery earns a 6.5% commission on her total sales. Last month, she had sales of $55,780. How much commission did Mrs. Montgomery earn last month?

Answers

Answer:

3625.7

Step-by-step explanation:

hope that will help goodbye

Which of the following quadrants of the standard (x,y) coordinate plane contain points on the graph of the equation 6x – 3y = –9 ?
A. l and lll only
B. l, ll and lll only
C. l, ll and IV only
D. I, II and IV only
E. II, IIIand IV

Answers

Using linear function concepts, it is found that the correct option is:

B. l, ll and lll only

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope.b is the y-intercept.

If the slope is positive.

The function goes through quadrants I and III.If the intercept is positive, it also goes through quadrant II.If the intercept is negative, it also goes through quadrant IV.

If the slope is negative:

The function goes through quadrants II and IV.If the intercept is positive, it also goes through quadrant I.If the intercept is negative, it also goes through quadrant III.

In this problem, the equation is:

[tex]6x - 3y = - 9[/tex]

Placing it into the standard format:

[tex]3y = 6x + 9[/tex]

[tex]y = \frac{6}{3}x + \frac{9}{3}[/tex]

[tex]y = 2x + 3[/tex]

Both slope and intercept are positive, hence, quadrants I, II and III, option B.

You can learn more about linear functions at https://brainly.com/question/16302622

what does the E stand for in PEMDAS?

Answers

Answer:

Exponents

Step-by-step explanation:

Parentheses

Exponents and roots

Multiplication

Division

Addition

Subtraction

-16-|-2-4|+7 please solve this for me and explain. i would really appreciate it.

Answers

Answer:

-15

Step-by-step explanation:

-16 -|-6| +7

-16 - 6 + 7

= - 15

Absolute value is just taking the positive value of a number.

Step-by-step explanation:

-16-(-2-4)+7=

-16-(-6)+7=

-16+6+7=

-16+13=

-3

Find the future value of 1000 at 7 % interest compounded annually for 10 years.​

Answers

Answer:

1967.15

Step-by-step explanation:

1000 x 1.07^10 = 1967.15

The future value of 1000 with annual compounding for 10 years is $1967.15.

The formula for calculating with annual compounding is:  

FV = P (1 + r)^n  

FV = Future value  P = the amount deposited R = interest rate   N = number of years  

1000 x (1.07)^10 = $1967.15

To learn more about future value, please check: https://brainly.com/question/18760477

f(x)=x^2-7 and h(x)=7x-5, then f(h(2))= ?

Answers

Answer:    74

==================================================

Work Shown:

h(x) = 7x-5

h(2) = 7(2)-5

h(2) = 14-5

h(2) = 9

f(h(2)) = f(9)

f(x) = x^2-7

f(9) = 9^2-7

f(9) = 81-7

f(9) = 74

f(h(2)) = 74

-----------

Here's a slightly alternative approach:

f(x) = x^2 - 7

f(h(x)) = ( h(x) )^2 - 7

f(h(x)) = ( 7x-5 )^2 - 7

f(h(2)) = ( 7*2-5 )^2 - 7

f(h(2)) = ( 14-5 )^2 - 7

f(h(2)) = ( 9 )^2 - 7

f(h(2)) = 81 - 7

f(h(2)) = 74

Find the equation of the function of the specified type that is the best fit for the given data

Answers

Good luck:) y2x6 :)

Solve for q using both equation 1 and 2 question in pic

Answers

Answer:

p=1/8     q=3/4

Step-by-step explanation:

-2p+7q=5

-6p+35q=51/2

cancel out a variable

(-5)(-2p+7q=5)

-6p+35q=51/2

10p-35q=-25

-6p+35q=51/2  =

4p=1/2

4p/4=1/2  /4

p=1/8

substitute p=1/8 into one of the equation to find q

-2p+7q=5

-2(1/8)+7q=5

-1/4+7q=5

7q=5+1/4

7q=21/4

q= 21/4  /7

q=3/4

50, 60, 72, ...
Find the 8th term.

Answers

The answer to this pattern 179.159
I found because it seems to be multiplied by 1.2.

help , I have like no clue on what I'm doing​

Answers

Answer:

Step-by-step explanation:

Linear equations can have the form y = mx + b

where m is the slope of the line and equals Δy/Δx

and b is the y intercept.

Just for fun, let's choose the first and last sets of data points.

Δy = (275 - 135) = 140

Δx = (5 - 1) = 4

so slope m = 140/4 = 35    and the units on the slope would be $/month

Answer:

The slope of the line is 35

Step-by-step explanation:

We'll select [tex](1,135)[/tex] and [tex](2,170)[/tex] for this problem.

The slope is defined as the rate of change. Its formula is [tex]Slope=m=\frac{Rise}{Run}=\frac{y_2-y_1}{x_2-x_1}[/tex] where our two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

Therefore, we have [tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{170-135}{2-1}=\frac{35}{1}=35[/tex] as our slope.

i really need help, does anyone know these

Answers

Answer: If angle A is congruent to angle E

How many times do 5 go into 32

Answers

Answer:

6 times or 6.4

Answer
6 times
Explanation
32/5 = 6.4

...............................

Answers

Step-by-step explanation:

.....................

help me plssssssssssssss

Answers

multipley by 2, to get the answer

4781/32 without a decimal

Answers

Answer:

149(13/32)

Step-by-step explanation:

4781/32 and then take the remainder to make it an improper fraction

50pt Which of the following are maximum and minimum points of the function y=sin(x+ π)?

Answers

Answer:

  none of the above

  Maximum (3π/2, 1); Minimum (π/2, -1)

Step-by-step explanation:

The sine function is shifted left 1/2 cycle by the addition of π to x in the argument. That basically inverts the function, so it is equivalent to ...

  y = -sin(x)

This has a minimum of -1 at π/2, and a maximum of +1 at 3π/2. This does not match any of the offered answer choices.

__

You might want to discuss this question with your teacher.

Answer:

The correct answer is C!

Step-by-step explanation:

The dude that said there’s no answer doesn’t know what he’s talking about.

Which answer best describes the complex zeros of the polynomial function?
f(x) = 13 - 22 + 6x - 6
The function has two real zeros and one nonreal zero. The graph of the function intersects the x-axis at exactly one
location.
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly two
locations.
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one
location.
The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.

Answers

Answer:

The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one

location.

4. The function y=-0.12x + 0.4 represents the percent y in decimal form of
battery power remaining x hours after turning on the laptop.

The slope is BLANK. This means the power is BLANK
by BLANK % per hour.

Please fill in blanks tysm

Answers

Answer:

Slope=0.12   power is down by 28%

Step-by-step explanation:

:)

How do you turn a 5:1 ratio into a fraction

Answers

Answer:

[tex]\frac{5}{1}[/tex] is the same as 5:1

1/2x + 4 = 10
solve the following equation algebratically. Show the work to support the answer.

Answers

Answer:

(1/2)x + 4 - 4 = 10 - 4

2(1/2)x = 6 * 2

x = 12

8. What are the solutions to this system
of equations?
3x + y = -1
2x + y=0
Identify the Nature of the Solution, Show
all work below.

-

Answers

Answer:

Below in bold.

Step-by-step explanation:

3x + y = -1

2x + y=0

Subtract to eliminate y:

3x - 2x + y - y = -1 - 0

x = -1

So, substituting for x in the first equation;

3(-1) + y = -1

y - 3 = -1

y = 2.

The solution is the ordered pair (-1, 2).

The system is a pair of straight lines which intersect at the point (-1, 2).

I am doing Khan Academy and I'm stuck on a question that said " What is another way to make 4.65 ? "
I learned it at school but I still need help on that Question.

Answers

Answer:

[tex]\frac{465}{100}[/tex] or [tex]\frac{93}{20}[/tex]

Step-by-step explanation:

You can always just multiply the by 100/100 to get any number into a fraction form. I am not sure if this is what you were asking, but here you go. Then you can simplify to get 93/20.

You gotta swag it aht twin

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region y=4x^2, y=x^2 + 3

Answers

Answer:

Step-by-step explanation:

integrate with respect to x

Area is symmetric so will be twice the integral from zero to 1

( I cannot seem to figure out how to make the lower limit negative in this editor)

[tex]A = 2\int\limits^1_0 {(x^2 + 3) - 4x^2} \, dx[/tex])

[tex]A = 2\int\limits^1_0 {-3x^2 + 3} \, dx[/tex]

[tex]A = 6\int\limits^1_0 {-x^2 + 1} \, dx[/tex]

A = 6(-⅓x³ + x)[tex]\left \| {{x=1} \atop {x=0}} \right.[/tex]

A = 6((-⅓(1)³ + (1)) - (-⅓(0)³ + (0)))

A = 6(⅔)

A = 4 units²

Suppose you receive a shipment of 29 engines, two of which are defective. What is the probability of picking a sample of 4 engines with two bad engines in it? (Round approximations to the nearest thousandth.)

Answers

Answer:

0.4%

Step-by-step explanation:

2 are defective and 27 are good out of 29. Chance of picking 1 defective is 2/29 or .069. Chance of picking good is 27/29 or .931.

2 good and 2 bad is

.931 * .931 * .069 * .069 = .004

There is a 0.4 % chance of 2 bad.

The scale on a map is 2 in. =250 miles. If Toledo and Kansas City are 2.25 in. How far are they apart in real life?

Answers

Answer:

281.25 miles

Step-by-step explanation:

2=250

1=125

0.5=62.5

0.25=31.25

250+31.25=281.25

Calculate the sum of integers x satisfying 15 ⋮ x and x < 0

Answers

Answer:

radius of the curve=r=150m

coefficient of friction=\muμ =0.6

As car is avoid skidding

\begin{gathered}\\ \sf\hookrightarrow \dfrac{mv^2}{r}=\mu mg\end{gathered}

r

mv

2

=μmg

Cancel m

\begin{gathered}\\ \sf\hookrightarrow \dfrac{v^2}{r}=\mu g\end{gathered}

r

v

2

=μg

\begin{gathered}\\ \sf\hookrightarrow v^2=\mu rg\end{gathered}

↪v

2

=μrg

\begin{gathered}\\ \sf\hookrightarrow v^2=0.6(10)(150)\end{gathered}

↪v

2

=0.6(10)(150)

\begin{gathered}\\ \sf\hookrightarrow v^2=60(150)\end{gathered}

↪v

2

=60(150)

\begin{gathered}\\ \sf\hookrightarrow v^2=900\end{gathered}

↪v

2

=900

\begin{gathered}\\ \sf\hookrightarrow v=30ms^{-1}\end{gathered}

↪v=30ms

−1

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