Question

MATHHH!!!1 PLEASE HELP ME OUT WITH THESE LAST TWO MATH QUESTIONS!!!!!!!!!1
I'M DYING PLEASE.

1. Explain how to solve an equation when the variable in the equation is being multiplied by a fraction.



2. How do you solve an equation when the variable is being divided by a whole number?

Answer 1

1. Answer: multiply both sides by the reciprocal

Step-by-step explanation:

In order to isolate the variable, you need to multiply both sides by the reciprocal of the fraction so the numerator and denominator cancel out.  For example:

$\dfrac{2}{3}x=1\\\\\\\bigg(\dfrac{3}{2}\bigg)\dfrac{2}{3}x=1\bigg(\dfrac{3}{2}\bigg)\\\\\\x=\dfrac{3}{2}$

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2. Answer: multiply both sides by the divisor

Step-by-step explanation:

In order to isolate the variable, you need to multiply both sides by the divisor so the whole number cancels out.  For example:

$\dfrac{x}{2}=1\\\\\\(2)\dfrac{x}{2}=1(2)\\\\\\x = 2$