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2 years ago

9

Solve for x. 3x/-8 =−21/4 Enter your answer in the box.

2 answers:

Alexxandr [17]2 years ago

7 0

Answer:

x = 14

Step-by-step explanation:

3x/-8 = -21/4

(3x/-8)×-8 =( -21/4)×-8

3x = 42

3x/3 = 42/3

x = 14

hope it's helpful

sdas [7]2 years ago

6 0

Answer:

x = 14

Step-by-step explanation:

to solve this you have to first move 3/-8 to the other side and divide while keeping x on the same side.

now to divide you must flip over 3/8 and multiply so 21/4 x 8/3 ( negative sign cross off because there are two of them) so 3 and 21 cross off leaving 7 in the numerator 4 and 8 cross of leaving 2 in the numerator and then 7 and 2 get multiplied and you will get 14.

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If 2 is added to both the numerator and denominator of a fraction its value becomes half. If two is subtracted from both the num

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Answer:

The original fraction is $\frac{6}{14}$ .

Step-by-step explanation:

Solution,

Let the fraction be' $\frac{x}{y}$ '.

Where 'x' is the numerator and 'y' is the denominator.

Now according to question, if 2 is added to both the numerator and denominator the value of the fraction becomes 1/2.

So, framing the above sentence in equation form, we get;

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On using cross multiplication method, we get;

$2(x+2)=y+2\\\\2x+4=y+2\\\\2x+4-2=y\\\\\therefore\ y=2x+2\ \ \ \ equation\ 1$

Now according to question, if 2 is Subtracted to both the numerator and denominator the value of the fraction becomes 1/3.

So, framing the above sentence in equation form, we get;

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

On using cross multiplication method, we get;

$3(x-2)=y-2\\\\3x-6=y-2\\\\3x-y=-2+6\\\\3x-y=4 \ \ \ \ equation\ 2$

Now Substituting the equation 1 in equation 1 we get;

$3x-y=4\\\\3x-(2x+2)=4\\\\3x-2x-2=4\\\\3x-2x=4+2\\\\x=6$

Now Substituting the value of x in equation 1 we get;

$y=2x+2\\\\y=2\times6+2 = 14$

Hence The original fraction is $\frac{6}{14}$ .

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