Question

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

3x + 5y = 1
2x + 4y = −4

Multiply the first equation by 2, and multiply the second equation by 3.
Multiply the first equation by −2, and multiply the second equation by 3.
Multiply the first equation by −2, and multiply the second equation by −3.
None of the above

Answer 1

Answer: Multiply the first equation by -2, and the second equation by 3.

Step-by-step explanation: I took the test and got it right:)

Answer 2

Option C is Correct

Explanation:

Given System is

3x + 5y = 1

2x + 4y = −4

Multiply the first equation by −2, and multiply the second equation by 3

we get

-6x-10y = -2 ----------(i)

6x+12y = -12 ---------(ii)

then we add both equations we get

2y = -14

y = -7

now put y = -7 in euation one we get

-6x-10(-7) =14

-6x+70=14

subtracting 70 from both sides we get

-6x=-56

dividing (-6) both sides we get

x=56/6 or x =28/3

so here is our solution

(x,y)=(28/3 , -7)

answer.