Solving Equations using Elimination Method:
\The equations are
\ Equation (1)
Equation (2)
Since the coefficients of the x-terms are additive inverses, you can eliminate
\these terms by adding the equations. Add the equations to eliminate variable x.
\Write the equations in column form and add the corresponding columns.
\Apply division property of equality: if a = b then
(Divide each side by negative 3)
(Cancel commen terms)
(Divide:
)
Now Substitute – 2 for y in either equation to find the value of x.
\ (Equation 1)
(Substitute
)
(Multiply:
)
(Subtract 4 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Divide each side by negative 3)
(Cancel commen terms)
(Divide:
)
The solution is ,
.
The solution is .