Chapter 0, Problem 51PG

To determine

To solve the system of equation

Answer to Problem 51PG

  $a=3$ and $b=-2$ are the solutions of the system.

Explanation of Solution

Given information:

  $\begin{array}{l}5a-b=17\\ 3a+2b=5\end{array}$

Calculation:

Let assume the equations be (1) and (2) respectively

Taking (1)

  $5a-b=17$

Rearranging,

  $5a-17=b$ (3)

Put b in (2)

  $3a+2(5a-17)=5$

Solving,

  $3a+10a-34=5$

So,

  $13a=39$

Dividing by 13,

  $a=3$

Put value a in(2)

  $5(3)-17=b$

Solving,

  $15-17=b$

Hence, $a=3$ and $b=-2$ are the solutions of the system.