Question

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

Answer 1

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

vertical intercept (0, -6/70

x = 12 - 8y

vertical intercept (0, 3/2)

Answer 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) .