Elimination Method:
\The equations are
and
.
Equation (1)
Equation (2)
Multiply by 2 in first equation.
\
Equation (3)
Multiply by 7 in second equation.
\
\


Since the coefficients of y-terms are additive inverses, these terms can be eliminated by additing equations. Write the equations in column form and add the corresponding columns.
\
Divide each side by 5.
\

Find the y, substitute
in first equation.


Subtract 32 from each side.
\

Divide each side by negative 5.
\

The solution of the system is
.