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Are 2x +4 = 10 and 3x +6 = 15 equivalent. equations? how do you know.​

1 Answer

2 votes

Answer:

Yes, the two equations are equivalent.

Explanation:

For the first equation, we will solve for x.

2x + 4 = 10

Subtract 4 from both sides...

2x + 4 = 10

-4 -4

It then becomes

2x = 6

Then we divide by 2 on both sides.

2x = 6

2 2

Then the answer is...

x = 3

Now let's also solve for x on the second equation.

3x + 6 = 15

Subtract 6 on both sides to get x alone...

3x + 6 = 15

-6 -6

Then it is..

3x = 9

Lastly, divide by 3 on both sides...

3x = 9

3 3

Then it becomes

x = 3.

Then we see that both equations have x = 3, meaning when both x's = 3, then both equations will be equivalent. I hope this helps, and I hope it is not wrong, but I don't think it is.

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