# How do you solve the following system?: #-x -2y =-1, 3x -y = -4#

##### 1 Answer

The point of intersection is

#### Explanation:

Solve system:

The given equations are linear equation in standard form. I will show how to solve this system of equations using substitution. The resulting point

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

Subtract

Multiply both sides by

Substitute

Expand.

Subtract

Simplify.

Divide both sides by

**Substitute #color(teal)1# for #y# in Equation 1.**

Simplify.

Add

Simplify.

Multiply both sides by

**Point of intersection** :

graph{(-2y-x+1)(-y+3x+4)=0 [-10, 10, -5, 5]}