Chapter 1: Q24. (page 34)

Solve each equation.
$a = \frac{4 (14 - 1)}{3 (6) - 5} + 7$

Short Answer

Expert verified

The value of a is 11.

Step by step solution

Step 1. Definition.

Equation: An equation is a mathematical statement that two expressions are equal. An equation will always contain an equal sign with an expression on each side.

Step 2. Order of Operations.

BODMAS

B – Brackets First

O – Orders (i.e. Powers and Square Roots etc.)

D – Division

M – Multiplication

A – Addition

S – Subtraction

Step 3. Simplifying ratio.

$a = \frac{4 (14 - 1)}{3 (6) - 5} + 7$ Original equation

First, we work on the numerator, subtracting 1 from 14.

$\Rightarrow a = \frac{4 (13)}{3 (6) - 5} + 7$

In the denominator, multiply 6 by 3.

$\Rightarrow a = \frac{4 (13)}{18 - 5} + 7$

In the denominator, Subtract 5 from 18.

$\Rightarrow a = \frac{4 (13)}{13} + 7$

Divide by 13 in the first term of the equation on the Right-hand side of the equation.

$\Rightarrow a = 4 + 7$

Add 4 and 7, we get

$\Rightarrow a = 11$

Therefore, the value of a is 11.

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Solve each equation.
$a = \frac{4 (14 - 1)}{3 (6) - 5} + 7$

Short Answer

Step by step solution

Step 1. Definition.

Step 2. Order of Operations.

Step 3. Simplifying ratio.

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Solve each equation.a=4(14-1)3(6)-5+7

Short Answer

Step by step solution

Step 1. Definition.

Step 2. Order of Operations.

Step 3. Simplifying ratio.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Calculus

Statistics

Decision Maths

Geometry

Study anywhere. Anytime. Across all devices.

Solve each equation.
$a = \frac{4 (14 - 1)}{3 (6) - 5} + 7$