Chapter 1: Q55. (page 25)

Solve each equation. Check your solution.
$\frac{3}{11} a - 1 = \frac{7}{11} a + 9$

Short Answer

Expert verified

The required answer is $- \frac{55}{2}$ .

Step by step solution

Step 1- Isolate the variable a

Perform addition of 1 and subtraction of $\frac{7}{11} a$ on both the sides of the equation.

$\begin{matrix} \frac{3}{11} a - 1 + 1 - \frac{7}{11} a = \frac{7}{11} a + 9 + 1 - \frac{7}{11} a \\ - \frac{4}{11} a = 10 \end{matrix}$

Perform division of $- \frac{4}{11}$ on both the sides of the equation

$\begin{matrix} \frac{- \frac{4}{11} a}{- \frac{4}{11}} = \frac{10}{- \frac{4}{11}} \\ a = - \frac{55}{2} \end{matrix}$

– Check the obtained value

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

$\begin{array}{l} \frac{3}{11} (- \frac{55}{2}) - 1 \overset{?}{=} \frac{7}{11} (- \frac{55}{2}) + 9 \\ - \frac{15}{2} - 1 \overset{?}{=} - \frac{35}{2} + 9 \\ - \frac{17}{2} = - \frac{17}{2} \end{array}$

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.
$\frac{3}{11} a - 1 = \frac{7}{11} a + 9$

Short Answer

Step by step solution

Step 1- Isolate the variable a

– Check the obtained value

Step 3- Make the conclusion

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Solve each equation. Check your solution.311a-1=711a+9

Short Answer

Step by step solution

Step 1- Isolate the variable a

– 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

Logic and Functions

Statistics

Calculus

Applied Mathematics

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution.
$\frac{3}{11} a - 1 = \frac{7}{11} a + 9$