The system of equations are
.
Rewrite the equation 2:
in the form of
.
Add 5x to each side.
\
.
Since the coefficient of the y - term in two equations is same, i can eliminate these terms by subtracting the equations.
\Write the equations in column form and subtract to eliminate variable y.
\
.
The resultant equation is
and solve it for x.
Divide each side by negative 2.
\
Cancel common terms.
\
.
Substitute the value of
in equation 2:
and solve for y.

\


Divide each side by 2.
\
Cancel common terms.
\
.
The solution is
.