Chapter 2: Q. 2.2 (page 204)

$I s y = \frac{7}{5} a s o l u t i o n o f 5 y + 3 = 10 y - 4 ?$

Short Answer

Expert verified

The given value $y = \frac{7}{5}$ is the solution for the given equation.

Step by step solution

Step 1. Given information

The given equation is $5 y + 3 = 10 y - 4$

We have to determine the given value $y = \frac{7}{5}$ is the solution for the given equation.

Step 2. Explanation

$\begin{array}{l} S i n c e a s o l u t i o n t o a n e q u a t i o n i s a v a l u e o f thevariablethatmakestheequationtrue, \\ Beginbysubstitutingthevalueofthesolutionforthevariable. \\ Substitutey= \frac{7}{5} fory \\ \Rightarrow 5 y + 3 = 10 y - 4 ? \\ \Rightarrow 5 (\frac{7}{5}) + 3 = 10 (\frac{7}{5}) - 4 \\ \Rightarrow 7 + 3 = 2 (7) - 4 \\ Multiply \\ \Rightarrow 7 + 3 = 14 - 4 \\ \Rightarrow 10 = 10 \\ Sincey= \frac{7}{5} resultsinatrueequation. \\ \Rightarrow \frac{7}{5} isasolutiontothegivenequation. \end{array}$

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$I s y = \frac{7}{5} a s o l u t i o n o f 5 y + 3 = 10 y - 4 ?$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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Isy=75asolutionof5y+3=10y−4?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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$I s y = \frac{7}{5} a s o l u t i o n o f 5 y + 3 = 10 y - 4 ?$