Find a number that is 96 greater than its opposite

Hey there!

To find the opposite of a number, you switch its sign, and to do so, you would multiply by -1. This gives us the equation below.

n=-n+96

To find our number, we need to isolate all of our n's on one side of the equation. Let's try adding n to both sides.

2n=96

We divide both sides by 2.

n=48

As you can see, the opposite of 48 is -48, and 48 is 96 more than -48.

Therefore, our number is 48.

I hope this helps!

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)