The Linear Combination Method

2x - 4y = 13
4x - 5y = 8

Equation 1
Equation 2

Step 1: Multiply the first equation by -2 so that the x-coefficients differ only in sign.

Step 2: Add the revised equations and solve for y.

Step 3: Substitute the value of y into one of the original equations. Solve for x.

sd-4x + 8y = -26
4x - 5y = 8

3y = -18
y = -6

2x - 4y = 13
2x - 4(-6) = 13
2x + 24 = 13

x = -11/2

TheThe solution is (-11/2,-6).