# How do you solve # y=-x-10#, #9x-8y=-56# by graphing and classify the system?

##### 1 Answer

Plot the graphs for both equations, then note if the corresponding lines intersect, are parallel, or co-linear.

(In this case they intersect and so the equations are consistent).

#### Explanation:

**Find A Pair of Sample Solution Points for Each Equation**

#{: (,color(red)(y=-x-10),,color(white)("XXXXXXXXXX"),,color(blue)(9x-8y=-56),), (color(white)("X")color(red)(x),,color(white)("X")color(red)(y),,color(white)("X")color(blue)(x),,color(white)("X")color(blue)(y)), (color(white)("X")color(red)(0),,color(red)(-10),,color(white)("X")color(blue)(0),,color(white)("X")color(blue)(7)), (color(red)(-10),,color(white)("X")color(red)(0),,color(blue)(-8),,color(blue)(-2)) :}#

**Plot and Draw the Lines for Each Equation**

**Note That the Lines Intersect**

Since the lines intersect [at