Here are the steps to solve this system of linear equations using the elimination method: 1) Line up the equations: -4x - 8y = 16 6x + 12y = -24 2) Add a multiple of one equation to the other to eliminate x: -4x - 8y = 16 6x + 12y = -24 Add -1.5 times the top equation to the bottom: -4x - 8y = 16 0 - 3y = -40 3) Solve for y: -3y = -40 y = 13 4) Substitute y = 13 back into either original equation to find x: -4x