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Solve for x. fraction{3}{x - 7}= fraction{2}{2x+1}

Question:

Solve for x.

{eq}\frac{3}{x - 7}= \frac{2}{2x+1} {/eq}

Proportion:

Proportion is defined as the statement that gives information about the equality of two ratios. The problem based on the proportion solved with the help of cross multiplication.

Answer and Explanation:


The expression is,

{eq}\dfrac{3}{{x - 7}} = \dfrac{2}{{2x + 1}} {/eq}


Solve the above expression by the use of the cross multiplication.

{eq}\begin{align*} 3\left( {2x + 1} \right) &= 2\left( {x - 7} \right)\\ 6x + 3 &= 2x - 14\\ 6x - 2x &= - 14 - 3\\ 4x &= - 17\\ x &= - \dfrac{{17}}{4} \end{align*} {/eq}


Thus, the value for {eq}x {/eq} is {eq}- \dfrac{{17}}{4} {/eq}.


Learn more about this topic:

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What is a Proportion in Math? - Definition & Practice Problems

from High School Algebra I: Help and Review

Chapter 23 / Lesson 15
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