Transform each equation in the system so that all coefficients are integers.

Question

−1/3x+1/2y=5

−3/4x−1/4y=10

Answer 1

(-1/3)x + (1/2)y = 5. multiply by 6

-2x +3y = 30

UNLESS, you really meant to write: -1/(3x) + 1/(2y) = 5, then multiply by 6xy to get: -2y + 3x = 30xy. You probably want the 1st answer above though.

(-3/4)x -(1/4)y = 10 multiply by 4

-3x -y = 40

UNLESS you really meant to write -3/(4x) - 1/(4y) = 10, then multiply by 4xy to get: -3y - x = 4xy