Chapter 11.1, Problem 17AYU

To determine

To find:The solution of the given system of equations.

Answer to Problem 17AYU

Solution:

  $x=6,y=2$

Explanation of Solution

Given:

  $x+y=8$

  $x-y=4$

Calculation:

The system of equations is,

  $x+y=8$

  $x-y=4$

Adding these two equations we get,

  $(x+y)+(x-y)=8+4$

  $2x=12$

  $x=\frac{12}{2}$

  $x=6$

Substituting $x=6$ in the first equation we get,

  $6+y=8$

  $y=8-6$

  $y=2$

Thus $x=6,y=2$ is the solution of the given system of equations.

The graph is as follows:

  

From the graph we see that (6,2) is the point of intersection of these two given lines: $x+y=8$ and $x-y=4$ .