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I dont get this Rewrite the equation below so that it does not have fractions. 2-(3)/(4)x=(9)/(10) Do not use decimals in your answer.

Sagot :

facundo3141592

Answer:

Suppose we have an equation like:

[tex]\frac{A}{C} = \frac{B}{D}[/tex]

If we want to remove the denominators, we should multiply both sides by each denominator.

First, let's multiply both sides by C.

[tex]\frac{A}{C}*C = \frac{B}{D}*C[/tex]

[tex]A = \frac{B}{D}*C[/tex]

Now let's multiply both sides by D.

[tex]A*D = \frac{B}{D}*C*D[/tex]

[tex]A*D = B*C[/tex]

So now we removed the denominators.

Now let's do this to our expression.

[tex]2 - \frac{3}{4*x} = \frac{9}{10}[/tex]

First, let's multiply both sides by 10

[tex](2 - \frac{3}{4*x})*10 = \frac{9}{10}*10[/tex]

[tex]20 + \frac{30}{4*x} = 9[/tex]

Now let's multiply both sides by 4*x

[tex](20 + \frac{30}{4*x})*4*x = 9*4*x[/tex]

[tex]20*4*x - 30 = 9*4*x[/tex]

[tex]80*x - 30 = 36*x[/tex]

Now we can solve this for x:

[tex]80*x - 36*x = 30[/tex]

[tex]44*x = 30[/tex]

[tex]x = \frac{30}{44} = 0.68[/tex]

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