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31 votes
31 votes
I need help on the question but give me an explanation

I need help on the question but give me an explanation-example-1
User Killa
by
2.4k points

1 Answer

18 votes
18 votes

Take a look a the pic. As you can see the first rectangle has:

-x - x -x + 1 +1 +1 +1 +1 +1 +1 +1 +1 +1 = -3x + 10

And the second rectangle has:

x + x + x + x +x -1 -1 -1 -1-1 -1-1 -1 = 5x - 8

Since they are equivalent:

-3x + 10 = 5x - 8

Solving for x:

Add 3x to both sides:

-3x + 10 + 3x = 5x - 8 + 3x

10 = 8x - 8

Add 8 to both sides:

10 + 8 = 8x - 8 + 8

18 = 8x

Divide both sides by 8:

18/8 = 8x/8

2.25 = x

x = 2.25

User Lee Whitney III
by
3.3k points
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