Chapter 0, Problem 58PFG

To determine

To solve the system

Answer to Problem 58PFG

  $y=1$ and $x=-1$ are the solutions of the system.

Explanation of Solution

Given information:

  $\begin{array}{l}x+y=-6\\ 2x-y=3\end{array}$

Calculation:

Let the equations be (1), (2) respectively.

Taking (2)

  $2x-y=3$

Rearranging,

  $2x+3=y$ (3)

Put in (1)

  $x+2x+3=-6$

Solving,

  $3x+3=-6$

and,

  $3x=-6+3$

Dividing by 3,

  $x=-1$

Put value of x in (3)

  $2(-1)+3=y$

So,

  $-2+3=y$

Hence, $y=1$ and $x=-1$ are the solutions of the system.