Advertisements
Advertisements
Question
Solve the following equation and also check your result:
\[x - 2x + 2 - \frac{16}{3}x + 5 = 3 - \frac{7}{2}x\]
Solution
\[x - 2x + 2 - \frac{16}{3}x + 5 = 3 - \frac{7}{2}x\]
\[\text{ or }\frac{3x - 6x + 6 - 16x + 15}{3} = \frac{6 - 7x}{2}\]
\[\text{ or }\frac{- 19x + 21}{3} = \frac{6 - 7x}{2}\]
\[\text{ or }- 38x + 42 = 18 - 21x\]
\[\text{ or }- 21x + 38x = 42 - 18\]
\[\text{ or }17x = 24\]
\[\text{ or }x = \frac{24}{17}\]
\[\text{ Check: }\]
\[\text{ L . H . S .} = \frac{24}{17} - 2 \times \frac{24}{17} + 7 - \frac{16}{3} \times \frac{24}{17} = \frac{- 33}{17}\]
\[\text{ R . H . S . }= 3 - \frac{7}{2} \times \frac{24}{17} = \frac{- 33}{17}\]
∴ L.H.S. = R.H.S. for x = \[\frac{24}{17}\]
APPEARS IN
RELATED QUESTIONS
Solve the following equation and also verify your solution:
\[\frac{2}{3}(x - 5) - \frac{1}{4}(x - 2) = \frac{9}{2}\]
Solve the following equation and also check your result:
\[\frac{2x + 5}{3} = 3x - 10\]
Solve the following equation and also check your result :
\[\frac{6x + 1}{2} + 1 = \frac{7x - 3}{3}\]
Solve each of the following equation and also check your result in each case:
0.18(5x − 4) = 0.5x + 0.8
Solve the following equation and verify your answer:
Solve: a - 2.5 = - 4
Solve: 3x = 12
Solve: 2x + 5 = 17
5(3x + 2) = 3(5x – 7) is a linear equation in one variable
Linear equation in one variable has ______
