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# easy algebra question!?

the sum of two numbers is -9.One number is 13 more than the other. Determine the value of the two numbers.

thanks

and ill give 10 points for an explained answer!

### 2 Answers

- Anonymous1 decade agoFavorite Answer
Let x represent the first number.

Let y represent the second number.

The equation for the sum of the two numbers is x+y=-9.

The second equation is x=y+13 or can be rearranged into x-y=13

To find the two unknown variables, you need to add the equations together and isolate one of the variables.

When the two equations are added together, it would give you 2y=-22

Solve for for the y value in 2y=-22 and sub in y for any of the two starting equations.

Therefore, x=2 and y=-11

- 1 decade ago
x + y = -9

x = y + 13

Subtract the two expressions.

x + y - (x) = -9 - (y + 13)

y = -y - 22

2y = -22

y = -11

Plug y = -11 back in.

x + y = -9

x + (-11) = -9

x = 2

So your answer is 2 and -11.