Step-by-step Answer
PAGE: 147SET: ExercisesPROBLEM: 15
Please look in your text book for this problem Statement

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 .


"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."


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

Dan Pease

Simply chose a support option

My status

JOIN US ON: is not affiliated with any Publisher, Book cover, Title, Author names appear for reference only