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).
Solve the system.
2x−6y=−4
6x−8y=18
(1 point)
1 answer