posted by Katie on .
How do you solve 3/4x+1/2y=10 and -3/2x-y=4?
Multiply both Eqs by 4 to eliminate the fractions:
Eq1: 3x + 2y = 40.
Eq2: -6x - 4y = 16.
m1 = -A/B = -3 / 2.
m2 = 6 / -4 = - 3/2.
The lines have equal slopes which means they are parallel. In order to have a solution, the lines must intersect; but parallel lines do not
intersect. Therefore, there are no solutions.