# How do you solve the following system of linear equations by graphing x+y=4 and x - y = -6?

##### 1 Answer

The solution to the given system of equations is

#### Explanation:

Given:

Find the x- and y-intercepts for each equation. Graph the points for each line separately, and draw a straight line through the points of both lines. The point at which they intersect is the solution to the system.

**The x-intercept is the value of #x# when #y=0#.**

**The y-intercept is the value of #y# when #x=0#.**

**First equation**

x-intercept:

Substitute

**The x-intercept is #(4,0)#.**

y-intercept:

Substitute

**The y-intercept is #(0,4)#.**

Plot the points and draw a straight line through them.

graph{x+y=4 [-10, 10, -5, 5]}

**Second equation**

x-intercept:

Substitute

x-0=-6#

**The x-intercept is #(-6,0)#.**

y-intercept:

Substitute

Multiply both sides by

**The y-intercept is #(0,6)#.**

Plot the points on the same graph and draw a straight line through them.

The point of intersection is

graph{(x+y-4)(x-y+6)=0 [-10, 10, -5, 5]}