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