The system of equations are and *.*

Equation (1)

* *Equation (2)

Solve the second equation for *t*.

Apply subtraction property of equality:* *Subtract 5*r* 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 .

"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett |

"Your site is amazing! It helped me get through Algebra." Charles |

"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease |