Question

I need help with my homework please answer this correctly

Answer 1

2 numbers can be represented by the variables x and y.

Set up a system of equations:

$x + y = 37$

$x - y = 31$

The two numbers added together will result in a sum of 37. However, one number subtracted from another will result in a difference of 31.

In both systems of equations, there are inverses of variable y. Therefore, we can combine the systems of equations by adding them together:

$(x + x) + (y - y) = (37 + 31)$

$2x = 68$

Divide both sides by 2 to get x by itself:

$x = 34$

One of the numbers will be 34.

Plug the value into one of the equations:

$34 + y = 37$

Subtract 34 from both sides to get y by itself:

$y = 3$

The two numbers that sum up to 37, with a difference of 31 between them, will be 3 and 34.