Solve the following simultaneous equations: 4x + 5y = -8 and 6x-2y = 26

1) Multiply both equations so we have the same coefficient of one of the variables. This allows us to eliminate one of the variables and solve for the other. (4x + 5y = -8) --> Multiply by 3 so we have (12x + 15y = -24) and (6x - 2y = 26) --> Multiply by 2 so we have (12x - 4y = 52). 2) Subtract the second equation for the first leading to (0x + 19y = -76). Divide both sides by 19 leading to (y = -4) 3) Substitute back into one of the original equations leading to 4x + 5(-4) = -84x -20 = -8 , 4x = 12, and finally x = 3. Hence we have the solution x = 3 and y = -4