# Question #0cec2

##### 2 Answers

#### Explanation:

#"let the 2 numbers be "x" and "ycolor(white)(x);x>y#

#"then "x+y=18to(1)#

#"and "x-y=12to(2)#

#"adding the equations together will eliminate y"#

#"adding term by term on both sides"#

#(x+x)+(y-y)=(18+12)#

#rArr2x=30#

#"divide both sides by 2"#

#(cancel(2) x)/cancel(2)=30/2#

#rArrx=15#

#"substitute this value into equation "(1)#

#rArr15+y=18rArry=18-15=3#

#"the numbers are "15" and "3#

#15+3=18" and "15-3=12#

#### Explanation:

Alright, lets think of this problem as two different equations:

We need to get rid of one of those variables. Since there is a positive and a negative

Now we just plug this

Now to check, we are going to plug the

Hope this helped!

~Chandler Dowd