# How do you solve #6x-2y=-4# and #y=3x+2#?

##### 1 Answer

Aug 5, 2015

#### Answer:

There is an infinite number of solutions.

#### Explanation:

One way is to use the method of substitution.

**Step 1.** Enter the equations.

**[1]**

**[2]**

**Step 2.** Solve for one variable in terms of the other.

**[2]**

Since this is already done for us, we can go on to the next step.

**Step 3.** Substitute Equation 2 in Equation 1 and solve for

This indicates that the solution consists of all real numbers and the equations are identical.

We can see that the equations are identical if we solve Equation 1 for

Some answers that fit are (