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2 years ago

How do I find x using my givens ?

Mathematics

2 answers:

Marianna [84]2 years ago

8 0

All sides of a square are equal, so set the two equations equal to each other and solve.

5x - 8 = 3x + 14

2x - 8 = 14

2x = 22

x = 11

zepelin [54]2 years ago

3 0

Form an inequality since it is a square

5x-8=3x+14

you then need to subtract 3x from both sides

2x-8=14

Add 8 to each side

2x=22

divide by 2

x=11

Hope this helped

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For this question, you have to take Least Common Multiplier for which in this case will be "45" as, the denominators can get similar and get multiplied by a same value to form a similar expression. This allows us to cancel out them by common factors. Full process shown below.

$\mathbf{Given \: \: Expression: \: \dfrac{x - 4}{5} = 9 - \dfrac{2x - 41}{9}}$

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$\mathbf{9x - 36 = - 10x + 610}$

$\mathbf{9x - 36 + 36 = - 10x + 610 + 36}$

$\mathbf{9x = - 10x + 646}$

$\mathbf{9x + 10x = - 10x + 646 + 10x}$

$\mathbf{19x = 646}$

$\mathbf{\dfrac{19x}{19} = \dfrac{646}{19}}$

$\mathbf{\therefore \quad x = 34}$

$\boxed{\mathbf{\underline{\therefore \quad Final \: \: Answer \: \: is; \: \: x = 34}}}$

Hope it helps.

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