The equations are
\
Equation (1)
Equation (2)
Multiply the equation (1) by 5.
\
Equation (3)
Multiply the equation (2) by 4.
\
Equation (4)
Subtract the equation (3) and equation (4) to eliminate the x variable
\
(Subtraction the corresponding columns)
Apply division property of equality: if a = b, then
.
Divide each side by 9.
\


Substitute
in equation (3).

Apply subtraction property of equality: If a = b then a
b = b
a.
Subtract 200 from each side.
\
Apply Additive inverse property:
.

Apply Additive identity property:
.

\
Apply division property of equality: if a = b, then
.
Divide each side by 20.
\


The solution is
.
The solution is
.