The system of equations are
.
Neither variable has a common coefficient.The coefficient of the x - variables are
and their least common multiple is
, so multiply each equation by the value that will make the x - coefficient
.
To get two equations that contain opposite terms multiply the first equation by 2.
\Write the equations in column form and add the corresponding columns to eliminate x - variable.
\
The resultant equation is
and solve for y.
Divide each side by 16.
\
Cancel common terms.
\
.
Substitute the value of
in either of the original equations and solve for x.
The equation 1:
.

.
Add 5 to each side.
\

Multiply each side by 3.
\
.
The solution is
.