# How do you solve #3x - 7y = 27# and #- 5x + 4y = - 45# using substitution?

##### 1 Answer

The solution is

#### Explanation:

Solve the system of equations:

These are two linear equations in standard form. The solution to the system is the point they have in common, which is the point where they intersect.

**Solve Equation 1 for #x#.**

Add

Divide both sides by

**Substitute #7/3y+9# for #x# in Equation 2 and solve for #y#.**

Expand.

Simplify

Add

Multiply

Simplify.

Multiply both sides by

Divide both sides by

**Substitute #0# for #y# in Equation 1 and solve for #x#.**

Divide both sides by

The solution is

graph{(3x-7y-27)(-5x+4y+45)=0 [-10, 10, -5, 5]}