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