Question 82903
First multiply the top equation by 2 to eliminate the denominator


{{{2(-3x-(1/2)y)=2(10)}}} Multiply both sides by 2


{{{-6x-y=20}}} Distribute


Now multiply the bottom equation by 4 to eliminate the denominator


{{{4(5x+(1/4)y)=4(8)}}} Multiply both sides by 4


{{{20x+y=32}}} Distribute


So after multiplying we get the system of equations:

{{{-6x-y=20}}}
{{{20x+y=32}}}


So if you want to solve by elimination you would follow this procedure


*[invoke solving_linear_system_by_elimination -6, -1, 20, 20, 1, 32]


Or if you want to solve by substitution you would follow this procedure


*[invoke solving_linear_system_by_substitution -6, -1, 20, 20, 1, 32]