Question

Select the best possible first step to solving the system by first eliminating the y variable.

4x – 5y = 4

3x + 2y = –20


A. None of the above

B. Multiply the first equation by 2 and multiply the second equation by 5.

C. Multiply the first equation by 2 and multiply the second equation by –5.

D. Multiply the first equation by –2 and multiply the second equation by 5.

Answer 1

Option B is the correct answer.

Step-by-step explanation:

took the test hope this helps :)

Answer 2

Option B is the correct answer.

Step-by-step explanation:

We have equations

4x – 5y = 4 ----------------- equation 1

3x + 2y = –20 ----------------- equation 2

Now we are eliminating y.

equation 1 x 2 gives

8x - 10y = 8 ----------------- equation 3

equation 2 x 5 gives

15 x + 10 y = -100 ----------------- equation 4

Now adding equation 3 and equation 4

8x - 10y + 15 x + 10 y = 8 - 100

23 x = -92

So, y got eliminated

Here we multiplied the first equation by 2 and multiply the second equation by 5 to eliminate y.

Option B is the correct answer.