olve the system of equations.%0D%0A3x+y=2%0D%0A7x−4y=30(1 point)%0D%0AResponses%0D%0A%0D%0A(2, −2)%0D%0Aleft parenthesis 2 comma negative 2 right parenthesis%0D%0A%0D%0A(−2, 8)%0D%0Aleft parenthesis negative 2 comma 8 right parenthesis%0D%0A%0D%0A(2, −4)%0D%0Aleft parenthesis 2 comma negative 4 right parenthesis%0D%0A%0D%0A(12, 12)

Answer 1

To solve the system of equations:

3x + y = 2 ...(1)
7x - 4y = 30 ...(2)

We can solve this system of equations using any method: substitution, elimination, or matrices.

I will use the method of substitution.

From equation (1), we can rewrite it as:
y = 2 - 3x

Now substitute this value of y in equation (2):
7x - 4(2-3x) = 30

Simplify and solve for x:
7x - 8 + 12x = 30
19x - 8 = 30
19x = 38
x = 2

Now substitute this value of x in equation (1) to find y:
3(2) + y = 2
6 + y = 2
y = -4

Therefore, the solution to the system of equations is (2, -4).