# How do you solve the system #2x+5y=-1, 3x-10y=16#?

##### 1 Answer

#### Explanation:

You have been given two linear equations and are tasked with finding a value for *both* of the equations true. There are at least two common ways of accomplishing this feat. Graphing and substitution.

**Graphing**

You can graph these two equations by solving them for

The first equation

The second equation

Graphing these two linear equations on the same plane show where they intersect. That is the

graph{(2x+5y+1)(3x-10y-16)=0[-1.1,5,-2,0.1]}

You may have to zoom in a bit to find that they meet at the point

**Substitution**

You can also multiply the two equations and add them in such a way that one of the variables gets eliminated. For example, if you multiply the first equation by

Adding this version of the equation with the second equation gives:

Or

Notice the two methods give the same answer: