The equations are
\ Equation (1)
Equation (2)
Multiply the second equation by 5
\Now the equation is
\ Equation (2)
Since the coefficients of the y-terms, -20 and +20, are additive inverses,
\you can eliminate these terms by adding the equations.
\Add the equations to eliminate variable y.
\ (write the equations in column form and add)
(Divide each side by 26)
(Cancel common terms)
(Divide:
)
Now Substitute 8 for x in either equation to find the value of y.
\ (Equation 2)
(Replace y by 16)
(Multiply:
)
(Subtract 24 from each side)
(Apply additive inverse property:
)
(Subtract:
)
(Divide each side by 4)
(Cancel common terms)
(Divide:
)
The solution is (x, y) = (24, 3)
\The solution is (x, y) = (24, 3).