Question

FREE POINT...…………………...40 PT

Solve the following equations:
1. a - (7 - a) = 5
2. 3x = 7 - (2 + x)
3. 4 - (3x + 1) = 6

Answer 1

a = 6

x = 5/4

x = -1

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Answer 2

a = 6

x = 5/4

x = -1

Explanation:

1.

Distribute the negative sign.

- * 7 = -7

- * -a = a

a - 7 + a = 5

2a - 7 = 5

•Add seven to both sides.

2a = 12

a = 6

2.

Distribute the negative sign as we did for problem one.

-2 -x + 7

-x + 5 = 3x

Add x to both sides

4x = 5

x = 5/4

3.

As for the previous problems distribute the negative, remember this step is always imperative!

-3x -1 + 4 = 6

-3x + 3 = 6

Subtract 3 in both sides

-3x = 3

x = -1

Thanks!