# How do you solve the following systems of equations by graphing given #y=x-4#, #2y=-x+10#?

##### 1 Answer

#### Answer:

See a solution process below:

#### Explanation:

First, we need to graph each equation by solving each equation for two points and then drawing a straight line through the two points.

**Equation 1:**

**First Point:** For

**Second Point:** For

graph{(y - x + 4)(x^2+(y+4)^2-0.075)((x-4)^2+y^2-0.075)=0 [-10, 20, -6, 9]}

**Equation 2:**

**First Point:** For

**Second Point:** For

graph{(2y + x - 10)(y - x + 4)(x^2+(y-5)^2-0.075)((x-10)^2+y^2-0.075)=0 [-10, 20, -6, 9]}

From the graphs we can see the line intersects at:

graph{(2y + x - 10)(y - x + 4)((x-6)^2+(y-2)^2-0.075) = 0 [-10, 20, -6, 9]}