Chapter 9: Q. 9.164 (page 1101)

Try It.
Solve: $\sqrt{7 y + 1} = \sqrt{2 y - 5}$

Short Answer

Expert verified

Ans: $\sqrt{7 y + 1} = \sqrt{2 y - 5} \Rightarrow y = - \frac{6}{5} (D e c i m a l : y = - 1.2)$

Step by step solution

Step 1. Given information.

given expression: $\sqrt{7 y + 1} = \sqrt{2 y - 5}$

Step 2. Square both sides of the equation.

${(\sqrt{7 y + 1})}^{2} = {(\sqrt{2 y - 5})}^{2} \Rightarrow 7 y + 1 = 2 y - 5$

Step 3. Simplify, then the new equation.

$7 y + 1 = 2 y - 5 \Rightarrow 5 y = - 6 \Rightarrow y = - \frac{6}{5} = - 1.2$

Therefore, the value of $y = - \frac{6}{5} o r - 1.2$

Check the answer.

$\sqrt{7 y + 1} = \sqrt{2 y - 5} \Rightarrow \sqrt{7 \times - 1.2 + 1} = \sqrt{2 \times - 1.2 - 5} \Rightarrow \sqrt{- 7.4} = \sqrt{- 7.4}$

The solution islocalid="1647893287374" $y = - \frac{6}{5} = - 1.2$

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Try It.
Solve: $\sqrt{7 y + 1} = \sqrt{2 y - 5}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Square both sides of the equation.

Step 3. Simplify, then the new equation.

Check the answer.

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Try It.Solve: 7y+1=2y−5

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Square both sides of the equation.

Step 3. Simplify, then the new equation.

Check the answer.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Probability and Statistics

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

Try It.
Solve: $\sqrt{7 y + 1} = \sqrt{2 y - 5}$