Chapter 2: Q. 2.98 (page 257)

$Solve : -1= \frac{1}{2} u+ \frac{1}{4} u- \frac{2}{3} u$

Short Answer

Expert verified

$Thesolutionforthegivenequationisu=-12$

Step by step solution

Step 1. Given information

The given equation is $-1= \frac{1}{2} u+ \frac{1}{4} u- \frac{2}{3} u$

We have to solve the given equation.

Step 2. Explanation

$\begin{array}{l} Solve : -1= \frac{1}{2} u+ \frac{1}{4} u- \frac{2}{3} u \\ \Rightarrow -1= \frac{1}{2} u+ \frac{1}{4} u- \frac{2}{3} u(FindtheLCDofallfractionsintheequation) \\ TheLCDis12. \\ \Rightarrow 12 \times (-1)= 12 \times (\frac{1}{2} u+ \frac{1}{4} u- \frac{2}{3} u)(Muliplybothsidesoftheequationby12) \\ \Rightarrow 12 \times (-1)= 12 \times \frac{1}{2} u+ 12 \times \frac{1}{4} u- 12 \times \frac{2}{3} u)(Distribute) \\ \Rightarrow - 12 =6u+3u-8u(Simplify) \\ \Rightarrow - 12 =u \\ Thesolutionforthegivenequationisu=-12 \end{array}$

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$Solve : -1= \frac{1}{2} u+ \frac{1}{4} u- \frac{2}{3} u$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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Solve:-1=12u+14u-23u

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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$Solve : -1= \frac{1}{2} u+ \frac{1}{4} u- \frac{2}{3} u$