# How do you write the the ordered pair that is the solution to the following system of equations: #-3x + y = 4# and #-7x + y = 12?#

##### 2 Answers

Solve for one variable and substitute

#### Explanation:

Subtract the two equations from each other to eliminate the 'y' variable.

Plug in

The solution is

The point of intersection is

#### Explanation:

Given:

Equation 1:

Equation 1:

I will use substitution to solve this system of equations. The ordered pair that is the solution is the point at which the two lines intersect.

**Solve Equation 1 for #y#.**

Add

**Substitute #3x+4# for #y# in Equation 2 an** d solve for

Simplify.

Subtract

Simplify.

Divide both sides by

Simplify.

**Substitute #-2# for #x# in Equation 1 and solve for #y#.**

Simplify.

Subtract

**Point of Intersection: #(-2,-2)#**

graph{(y-3x-4)(y-7x-12)=0 [-11.25, 11.25, -5.625, 5.625]}