X+4y=11 and 2x+2y=-8 solve by elimination

Multiply the first equation by - 2, and multiply the second equation by 1. - 2 (x + 4y = 11) 1 (2x + 2y = - 8) Becomes: - 2x - 8y = - 22 2x + 2y = - 8 Add these equations to eliminate x: - 6y = - 30 Then solve - 6y = - 30 for y: - 6y - 6 = - 30 - 6 (Divide both sides by - 6) y=5 Now that we've found y let's plug it back in to solve for x. Write down an original equation: x + 4y = 11 Substitute5foryin x + 4y = 11 : x + (4) (5) = 11 x+20 = 11 (Simplify both sides of the equation) x+20 + - 20 = 11 + - 20 (Add - 20 to both sides) x = - 9 Answer: x = - 9 and y = 5