# How do solve the following linear system?: # 3/2x - 3y = -9/4 , 5x+2y=1 #?

##### 1 Answer

Sep 20, 2017

#### Explanation:

Multiply through by 2 in the first equation, giving:

Multiply through by 3 in the second equation, giving:

15x + 6y = 3#

...now add the two equations, which allows you to elimintate the y variable:

...once we know x, we can plug back into either of the initial equations and solve for y:

SANITY CHECK - we used the second equation to solve for y. Let's plug both our calculated values back into the first equation to double check that the solutions satisfy both equations: