# How do you determine whether a linear system has one solution, many solutions, or no solution when given 8x =+ y = -16 and -3x + y = - 5?

##### 1 Answer

Apr 10, 2018

There is one solution.

#### Explanation:

I'm assuming the two equations are

**Equation I:**

**Equation II:**

I will subtract **Equation II** from **Equation I**.

Which simplifies to

Divide both sides by 11.

Substitute **Equation II**.

Simplify.

Subtract three from both sides of this equation.

There is one solution.