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How do you solve $\dfrac{2}{{11}}x = 8?$

seo-qna
Last updated date: 28th Feb 2024
Total views: 339.9k
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IVSAT 2024
Answer
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Hint: In this question, we are going to solve the given equation and then find the value of $x$.
First we are going to multiply all terms by the same value to eliminate fraction denominators.
Simplify the term by canceling multiplied terms that are in the denominator and multiply the numbers.
Next divide both sides of the equation by the same term.
Simplifying the term we get the required solution.

Complete Step by Step Solution:
In this question, we are going to solve the given equation and then find the value of $x$.
First write the given equation and mark it as $\left( 1 \right)$
$ \Rightarrow \dfrac{2}{{11}}x = 8...\left( 1 \right)$
Multiply all terms by the same value $11$ to eliminate fraction denominators,
$ \Rightarrow 11 \times \dfrac{{2x}}{{11}} = 11 \times 8$
Cancel multiplied terms that are in the denominator.
$ \Rightarrow 2x = 11 \times 8$
Multiply the above numbers we get,
$ \Rightarrow 2x = 88$
Divide both sides of the equation by the same term, that is by $2$
$ \Rightarrow 2x = 88$
$ \Rightarrow \dfrac{{2x}}{2} = \dfrac{{88}}{2}$
Cancel the terms that are in both the numerator and denominator, we get
$ \Rightarrow x = \dfrac{{88}}{2}$
$ \Rightarrow x = 44$

Thus we get the value of $x$ as $44$

Note: In mathematics, to solve an equation is to find its solutions, which are the values that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign. When seeking a solution, one or more variables are designated as unknowns.
When solving equations, we must always keep the equation balanced so that both sides are always equal.
Equations are actually used by us in daily life. An equation is the mathematical representation of those two things which are equal, one on each side of an equals sign.