# How do you solve #y=7x-1# and #y=-x+14# using substitution?

##### 2 Answers

The solution is

#### Explanation:

Solve the system:

Both linear equations are in slope-intercept form. The solution to the system is the point that both lines have in common, the point of intersection. Substitution will be used to solve the system.

Both equations are set equal to

Add

Simplify.

Add

Divide both sides by

Substitute

Multiply

Combine the numerators.

The solution is

graph{(y-7x+1)(y+x-14)=0 [-9.455, 10.545, 5.48, 15.48]}

#### Explanation:

Use