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 .