# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #2x-y=-1# and #x-y= 5#?

##### 1 Answer

See a solution process below:

#### Explanation:

We can graph each line by finding two points which solve the equation, plot the points and then drawing a straight line through them:

**Equation 1:**

For

For

graph{(2x-y+1)(x^2+(y-1)^2-0.075)((x+1)^2+(y+1)^2-0.075)=0 [-10, 30, -15, 5]}

**Equation 2:**

For

For

graph{(x - y - 5)(x^2+(y+5)^2-0.075)((x-5)^2+y^2-0.075)(2x-y+1)(x^2+(y-1)^2-0.075)((x+1)^2+(y+1)^2-0.075)=0 [-10, 30, -15, 5]}

From the graph, the solution is:

graph{(x - y - 5)(2x-y+1)((x+6)^2+(y+11)^2-0.1)=0 [-10, 30, -15, 5]}

Because there is one solution which satisfies both equations, this system of equations is **consistent**.