Solve for x, 3 x-5 17 + [11-x 76 -3 4 ]=4+x 2 -13. - Vidyadip

Question

Solve for $x, \frac{3 x-5}{17}+\left[\frac{11-x}{76}-\frac{3}{4}\right]=\frac{4+x}{2}-13$.

✓

Answer

We have, $\frac{3 x-5}{17}+\left[\frac{11-x}{76}-\frac{3}{4}\right]=\frac{4+x}{2}-13$
$\Rightarrow \quad \frac{3 x}{17}-\frac{5}{17}+\frac{11}{76}-\frac{x}{76}-\frac{3}{4}=2+\frac{x}{2}-13$
$\Rightarrow \quad \frac{3 x}{17}-\frac{x}{76}-\frac{x}{2}=-11+\frac{5}{17}-\frac{11}{76}+\frac{3}{4}$
$\Rightarrow \frac{456 x-34 x-1292 x}{2584}=\frac{-56848+1520-748+3876}{5168}$
$\Rightarrow \quad \frac{456 x-1326 x}{2584}=-\frac{52200}{5168}$
$\Rightarrow \quad \frac{-870 x}{2584}=\frac{-52200}{5168}$
$\Rightarrow \quad x=\frac{-52200}{5168} \times\left(\frac{-2584}{870}\right)$
$=\frac{60}{2}=30$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Linear Equations in One Variable→Linear Equations in One Variable — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

Subtract: $\text{x}^{2}\text{y}-\frac{4}{5}\text{x}\text{y}^{2}+\frac{4}{3}\text{xy}$ from $\frac{2}{3}\text{x}^{2}\text{y}+\frac{3}{2}\text{xy}^{2}-\frac{1}{3}\text{xy}$

A pipe can fill a cistern in $9$ hours. Due to a leak in its bottom, the cistern fills up in $10$ hours. If the cistern is full, in how much time will it be emptied by the leak?

A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal is required?

Verify the property: $x \times (y + z) = x \times y + x \times z$ by taking: $\text{x}=\frac{-12}{5},\text{y}=\frac{-15}{4},\text{z}=\frac{8}{3}$

Find the greatest common factor of the polynomial:
$15 a^3,-45 a^2,-150 a$

State which property is in the following and verify it.
(i) $\frac{19}{50} \times\left(\frac{50}{38} \times \frac{5}{19}\right)=\left(\frac{19}{50} \times \frac{50}{38}\right) \times \frac{5}{19}$
(ii) $\frac{-6}{5}+\left\{\frac{2}{15}+\left(\frac{-9}{25}\right)\right\}=\left\{\left(\frac{-6}{5}\right)+\frac{2}{15}\right\}+\left(\frac{-9}{25}\right)$
(iii) $\frac{6}{19} \times\left\{\frac{4}{15}-\frac{2}{5}\right\}=\frac{6}{19} \times \frac{4}{15}-\frac{6}{19} \times \frac{2}{5}$

Kamal borrowed $Rs. 57600$ from $LIC$ against her policy at $12\frac{1}{2}\%$ per annum to build a house. Find the amount that she pays to the $LIC$ after $1\frac{1}{2}$ years if the interest is calculated half-yearly.

Solve the following equation and also check your result in case: $\frac{\text{a}-8}{3}=\frac{\text{a}-3}{2}$

Madhulika thought of a number, doubled it and added $20$ to it. On dividing the resulting number by $25$, she gets $4.$ What is the number?

Find the area of a rhombus whose one side measures 5 cm and one diagonal as 8 cm .