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The system of equations are and .
Equation (1)
Equation (2)
Solve the second equation for t.
Apply subtraction property of equality: Subtract 5r from each side.
Rearrange the terms using commutative property of addition: a + b = b + a.
(Apply additive inverse property: )
(Apply additive identity property: )
Substitute in .
Distribute terms using distributive property: a( b + c ) = ab + ac.
(Multiply: )
(Add: )
Apply addition property of equality: Add 81 to each side.
(Apply additive inverse property: )
(Apply additive identity property: )
(Add: )
Apply division property of equality: Divide each side by 11.
()
(Cancel common terms)
Now, find the t value by substituting in .
(Multiply: )
(Add: )
The system of solution is .
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