Solve the system of equations.

Question

3x+y=2
7x−4y=30

A. (2, −2)

B. (2, −4)

C. (−2, 8)

D. (12, 12)

Answer 1

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

Let's use the substitution method:

1) From the first equation, solve for y:
y = 2 - 3x

2) Substitute y = 2 - 3x into the second equation:
7x - 4(2 - 3x) = 30
7x - 8 + 12x = 30
19x - 8 = 30
19x = 38
x = 2

3) Substitute x = 2 back into y = 2 - 3x:
y = 2 - 3(2)
y = 2 - 6
y = -4

Therefore, the solution to the system of equations is x = 2, y = -4.

So, the answer is B. (2, −4)