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Chapter 1: Q29. (page 34)

Solve each equation.

6k+(3路10-8)=(2路3)k+22

Short Answer

Expert verified

There is no solution to this equation.

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. Apply BODMAS Rule.

6k+(3路10-8)=(2路3)k+22Original equation

Multiply 3 by 10 on the left side and 2 by 3 on the right side of the equation.

鈬�6k+(30-8)=6k+22

Subtract 8 from 30 on the left side of the equation.

鈬�6k+22=6k+22...True.

No matter what value is substituted for u, the left side of the equation will always be equal to the right side. So, the equation will always be true.

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