Chapter 1: Q46. (page 25)

Solve each equation. Check your solution.
$\frac{5}{8} + \frac{3}{4} x = \frac{1}{16}$

Short Answer

Expert verified

The required answer is $- \frac{3}{4}$ .

Step by step solution

Step 1- Isolate the variable x

Perform subtraction of $\frac{5}{8}$ on both sides of the equation.

$\begin{matrix} \frac{5}{8} + \frac{3}{4} x - \frac{5}{8} = \frac{1}{16} - \frac{5}{8} \\ \frac{3}{4} x = - \frac{9}{16} \end{matrix}$

Perform division of $\frac{3}{4}$ on both sides of the equation.

$\begin{matrix} \frac{\frac{3}{4} x}{\frac{3}{4}} = \frac{- \frac{9}{16}}{\frac{3}{4}} \\ x = - \frac{3}{4} \end{matrix}$

– Check the obtained value

Substitute the obtained value of x into the original equation and perform simplification for checking.

$\begin{array}{l} \frac{5}{8} + \frac{3}{4} (- \frac{3}{4}) \overset{?}{=} \frac{1}{16} \\ \frac{5}{8} - \frac{9}{16} \overset{?}{=} \frac{1}{16} \\ \frac{1}{16} = \frac{1}{16} \end{array}$

Step 3- Make the conclusion

As the checking results in equal values on both the sides on substation of obtained value which means that obtained value is correct.

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Solve each equation. Check your solution.
$\frac{5}{8} + \frac{3}{4} x = \frac{1}{16}$

Short Answer

Step by step solution

Step 1- Isolate the variable x

– Check the obtained value

Step 3- Make the conclusion

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Solve each equation. Check your solution.58+34x=116

Short Answer

Step by step solution

Step 1- Isolate the variable x

– Check the obtained value

Step 3- Make the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Decision Maths

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution.
$\frac{5}{8} + \frac{3}{4} x = \frac{1}{16}$