Chapter 2: Q. 213 (page 240)

In the following exercise, solve the following equations with variables and constants on both sides.
$\frac{7}{4} m-7= \frac{3}{4} m-13$

Short Answer

Expert verified

The solution for the given equation is $m = - 6$

Step by step solution

Step 1. Given information

The given equation is $\frac{7}{4} m-7= \frac{3}{4} m-13$

We have to solve the given equation

Step 2. Explanation

$\begin{array}{l} \Rightarrow \frac{7}{4} m-7= \frac{3}{4} m-13 \\ \Rightarrow \frac{7}{4} m- \frac{3}{4} m-7= \frac{3}{4} m- \frac{3}{4} m-13(Subtract \frac{3}{4} mfrombothsides) \\ \Rightarrow \frac{7}{4} m- \frac{3}{4} m-7=-13(Simplify) \\ \Rightarrow \frac{7 m - 3 m}{4} -7=-13(TakeLCDtotheleftside) \\ \Rightarrow \frac{4 m}{4} -7=-13(Simplify) \\ \Rightarrow m -7=-13(Simplify) \\ \Rightarrow m -7+7=-13+7(Add7tobothsides) \\ \Rightarrow m =-6(Simplify) \\ Thesolutionism=-6 \end{array}$

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In the following exercise, solve the following equations with variables and constants on both sides.
$\frac{7}{4} m-7= \frac{3}{4} m-13$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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In the following exercise, solve the following equations with variables and constants on both sides. 74m-7=34m-13

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Step 2. Explanation

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In the following exercise, solve the following equations with variables and constants on both sides.
$\frac{7}{4} m-7= \frac{3}{4} m-13$