# How do you solve the following system?: #5x + 2y =1 , -8x+3y=12#

##### 1 Answer

Jun 23, 2017

#### Explanation:

**The best way to solve this system of equations is by using the elimination method. Basically, we need to eliminate a variable by adding the two equations together.**

**However, to completely cancel out a variable, such as #x#, they need to have the same coefficient but different signs (positive and negative).**

**By multiplying the equations, we can now safely eliminate #x# from the system by adding the two equations together.**

**Now, you have to plug #y# back into one of the equations to get #x#.**

**Here's your answer:**