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

##### 1 Answer

Jan 9, 2016

Solving using substitution

#### Explanation:

2x + y = -5

y = -5 - 2x

3x - 5(-5 - 2x) = 2

3x + 25 + 10x = 2

13x = 2 - 25

13x = -23

x =

Substitute

2(

y =

The solution set is (

Below are a few exercises to practice yourself. At the end, I put a linear-quadratic system a for a little bit of a challenge should you want it... Be warned of more than one solution set in the linear-quadratic system. Feel free to ask for help with the linear-quadratic system.

a) 2x + 3y = 6

x - 5y = -11

b) 4x - 7y = -12

2x - 14y = 3

c)

-2x - y = 4

Enjoy!