Solve the system of equations.

Question

3x+y=2
7x−4y=30 (1 point)
Responses

(2, −4)
left parenthesis 2 comma negative 4 right parenthesis

(12, 12)
left parenthesis start fraction 1 over 2 end fraction comma start fraction 1 over 2 end fraction right parenthesis

(2, −2)
left parenthesis 2 comma negative 2 right parenthesis

(−2, 8)
left parenthesis 2 comma negative 2 right parenthesis

Answer 1

To solve this system of equations, we can use the elimination method.

First, multiply the first equation by 4 to match the y coefficient in the second equation:
12x + 4y = 8

Then, we will subtract the first equation from this new equation:
(12x + 4y = 8)
-(7x - 4y = 30)
5x = -22
x = -22/5
x = -4.4

Now, substitute x back into the first equation to find y:
3(-4.4) + y = 2
-13.2 + y = 2
y = 2 + 13.2
y = 15.2

Therefore, the solution to the system of equations is (-4.4, 15.2). which is closest to (-2, 8) in the given options.