Elimination Method:
\The equations are
\
Equation (1)
Equation (2)
Since the coefficients of the x-terms are same, you can eliminate these terms by subtracting the equations. Subtract the equations to eliminate variable x.
\Write equations in column form and subtract the corresponding columns.
\
Apply division property of equality: Divide each side by 5.
\
(
)
(Cancel common terms)
Now, find the x value by substituting
in either equation.
(Equation 2)
(Multiply:
)
Apply subtraction property of equality: Subtract 4 from each side.
\
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply division property of equality: Divide each side by 4.
\
(Cancel common terms)
(Divide:
)
The solution is
.