What is the solution for 5x+7y--6 and x+8y=12?

x = - (6/5) - (7/5) y

vertical intercept (0, - 6/70

x = 12 - 8y

vertical intercept (0, 3/2)

5x+7y=6 and x+8y=12 multiply the 5 coefficient by opposite of x value so. - 5 (x+8y) = -5*12. Simplify to get - 5x-40y=-60. Now add the two equations to eliminate x. 5x+7y=6 + - 5x-40y=-60. Equals - 33y=-66 Now solve for y by dividing - 33 on both sides. Y = 2. Now substitute your answer for y into one of the origibal equations to find x. X+8 (2) = 12 Now solve x+16=12 Now move 16 to right side. x = - 16+12. Solve to get x = - 4. So now you have your answer for x and y (-4,2).