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Chapter 1: Q28. (page 34)

Solve each equation.

(3路6梅2)v+10=32v+9

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.

(3路6梅2)v+10=32v+9Original equation

Evaluate powers.

鈬�(3路6梅2)v+10=9v+9

Divide 2 by 6 on the left side of the equation.

鈬�(3路3)v+10=9v+9

Multiply 3 by 3 on the left side of the equation.

鈬�9v+10=9v+9....False

No matter what value is substituted for v, the left side of the equation will always be one less than the right side. So, the equation will never be true.

Therefore, there is no solution to this equation.

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