Question

Solve the system.

2x−6y=−4

6x−8y=18

(1 point)

Answer 1

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

Using the method of elimination, we can start by multiplying the first equation by -3 to make the coefficients of x the same in both equations:

-3(2x - 6y) = -3(-4)
-6x + 18y = 12 (equation 1')

Now we can subtract equation 1' from equation 2 to eliminate x:
(6x - 8y) - (-6x + 18y) = 18 - 12
12y = 6
y = 6/12
y = 1/2

Substituting the value of y into equation 1, we can solve for x:
2x - 6(1/2) = -4
2x - 3 = -4
2x = -4 + 3
2x = -1
x = -1/2

Therefore, the solution to the system is (x, y) = (-1/2, 1/2).