# How do you solve #3x+ 4y=27# and #-8x+ y=33# using substitution?

##### 1 Answer

The solution is

#### Explanation:

Solve the system:

Both equations are linear equations in standard form. The solution to the system is the point that the two lines have in common. The

Solve Equation 1 for

Divide both sides by

Simplify.

Substitute

Multiply

Add

Simplify.

Multiply both sides by

Divide both sides by

Substitute

The solution is the point of intersection for the two lines, which is

graph{(3x+4y-27)(y-8x-33)=0 [-14.24, 11.07, 1.37, 14.03]}