The equations are
\ Equation (1)
Equation (2)
Multiply the second equation by 5
\Now the equation is
\ Equation (2)
Since the coefficients of the x-terms, +10 and -10, 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)
(Divide each side by 6)
(Cancel common terms)
(Divide:
)
Now Substitute 16 for y in either equation to find the value of x.
\ (Equation 1)
(Replace y by 16)
(Multiply:
)
(Add 144 to each side)
(Apply additive inverse property:
)
(Add: 46 + 144 = 190)
(Divide each side by 10)
(cancel common terms)
(Divide:
)
The solution is (x, y) = (19, 16)
\The solution is (x, y) = (19, 16).