# How do you solve the following system of equations?: #x+y= -2 , x-2y=13#?

##### 2 Answers

#### Explanation:

since we have two unknowns we need minimum of two equations to solve for them , and we have that too

lets see the first equation

the first objective is to write either x in terms of y or y in terms of x

so i add -y to both sides , and we get

take this value of x and plug it in equation 2

so

this

becomes

solve for y to get a value

or

since we got y value , we can plug it back in the first equation to get x value

So ,

#### Explanation:

You add/subtract the two equations with each other, using the

would be the first equation. We can label it as equation

would be the second equation. We can label it as equation

Now, we can subtract equation

so

Now we can take

So