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Chapter 1: Q24. (page 34)

Solve each equation.

a=4(14-1)3(6)-5+7

Short Answer

Expert verified

The value of a is 11.

Step by step solution

01

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.

02

Step 2. Order of Operations.

BODMAS

B 鈥� Brackets First

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

D 鈥� Division

M 鈥� Multiplication

A 鈥� Addition

S 鈥� Subtraction

03

Step 3. Simplifying ratio.

a=4(14-1)3(6)-5+7Original equation

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

鈬�a=4(13)3(6)-5+7

In the denominator, multiply 6 by 3.

鈬�a=4(13)18-5+7

In the denominator, Subtract 5 from 18.

鈬�a=4(13)13+7

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

鈬�a=4+7

Add 4 and 7, we get

鈬�a=11

Therefore, the value of a is 11.

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