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Iteru [2.4K]
3 years ago
9

2/3 x − 9 − 2x + 2 = 1

Mathematics
2 answers:
Klio2033 [76]3 years ago
8 0
<h3>Answer:</h3>

\large\boxed{x=-6}

<h3>Step-by-step explanation:</h3>

In this question, we have to solve the equation.

We would do this by combining like terms and solving after that.

Solve:

\frac{2}{3}x - 9 - 2x + 2 = 1\\\\\text{First add two to -9}\\\\\frac{2}{3}x - 2x -7 = 1\\\\\text{Add 7 on both sides}\\\\\frac{2}{3}x  - 2x  = 8\\\\\text{Multiply everythhing by 3}\\\\2x-6x=24\\\\\text{Combine the x terms}\\\\-4x=24\\\\\text{Divide by -4}\\\\x=-6

Your answer would be x = -6

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
saveliy_v [14]3 years ago
4 0

Answer:

i hope this is what you are looking for.

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Answer:

x=17

Step-by-step explanation:

2x+3y=1

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  • In order to combine these two equations, an idea you need to keep in mind is finding a way of setting these equations as equal to each other. I saw that each equation shared a common value, y. In this case, we need to isolate y in the first equation so that both equations =y.

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  • With this, we now know that both -2-9 and -\frac{2}{3}x+\frac{1}{3} are equal to y, so we can set them equal to each other.

y=-\frac{2}{3}x+\frac{1}{3}

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-\frac{2}{3}x+\frac{1}{3}=-11

  • Reply to this if anything I'm saying or doing is confusing in any way, or if you find a mistake. :) Solve for x.

-\frac{2}{3}x+\frac{1}{3}=-11

-\frac{2}{3}x=-11-\frac{1}{3}

-\frac{2}{3}x =-\frac{33}{3}-\frac{1}{3}

-\frac{2}{3}x =-\frac{34}{3}

-\frac{2}{3}x(-\frac{3}{2})=-\frac{34}{3}(-\frac{3}{2})

x=\frac{102}{6}=17

x=17

  • Hopefully this answer is correct AND makes sense in terms of how I achieved it. Again, reply to this with any questions or mistakes I made and I'll do my best to answer or fix them.

 

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