The system of equations are
.
Neither variable has a common coefficient.The coefficient of the y - variables are 8 and 12 and their least common multiple is 24, so multiply each equation by the value that will make the y - coefficient 24.
\To get two equations that contain opposite terms multiply the first equation by negative 3 and multiply the second equation by 2.
\Write the equations in column form and add the corresponding columns to eliminate y - variable.
\
The resultant equation is
and solve for x.
Divide each side by 5.
\
Cancel common terms.
\
.
Substitute the value of
in either of the original equations and solve for y.
The first equation:
.


Subtract 30 from each side.
\

Divide each side by 8.
\
Cancel common terms.
\
.
The solution is
.