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:

$x + y = 33$

$x - y = 1$

The two numbers added together will result in a sum of 33. However, one number subtracted from another will result in a difference of 1.

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

$(x + x) + (y - y) = (33 + 1)$

$2x = 34$

Divide both sides by 2 to get x by itself:

$x = 17$

One of the numbers will be 17.

Plug the value into one of the equations:

$17 - y = 1$

Add y to both sides:

$17 = y + 1$

Subtract both sides by 1 to get y by itself:

$y = 16$

The two numbers that sum up to 33, with a difference of 1 between them, will be 16 and 17.