Question

Does A and B have the same solution

A. 4x + 2 = 6 - x
B. 5x + 2 = 6

Answer 1

yes

Explanation:

You want to know if the two equations have the same solution.

• 4x +2 = 6 -x
• 5x +2 = 6

Standard form

We can put each equation into standard form: ax = c.

A

4x +2 = 6 -x

5x +2 = 6 . . . . . add x

5x = 4 . . . . . . . . subtract 2

B

5x +2 = 6

5x = 4 . . . . . . . subtract 2

Solutions

Both equations have the same standard form, so any solution of one will also be a solution of the other.

Yes, equations A and B have the same solution.

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Additional comment

The solution to these equations is x = 4/5.

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