Solve the following equation and also check your result in case: … - Vidyadip

Question

Solve the following equation and also check your result in case:
$\frac{2\text{x}+5}{3}=3\text{x}-10$

✓

Answer

$\frac{2\text{x}+5}{3}=3\text{x}-10$
$2\text{x}+5=9\text{x}-30$
$9\text{x}-2\text{x}=5+30$
$7\text{x}=35$
$\text{x}=\frac{35}{7}$
$\text{x}=5$
Verification:
$\text{L.H.S.}=\frac{10+5}{3}=\frac{15}{3}=5$
$\text{R.H.S.}=15-10=5$
$\therefore\text{L.H.S.}=\text{R.H.S.}\text{ for x}=5$

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

Coffee costing $Rs. 250/kg$ was mixed with chicory costing $Rs. 75/kg$ in the ratio $5 : 2$ for a certain blend. If the mixture was sold at $Rs. 230/kg,$ find the gain or loss percent.

A $5.5\ m$ long ladder is leaned against a wall. The ladder reaches the wall to a height of $4.4\ m$. Find the distance between the wall and the foot of the ladder.

There are 2401 students in a school. P.T. teacher wants them to stand in rows and columns such that the number of rows is equal to the number of columns. Find the number of rows.

Solve the linear equation $\frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}$.

Find The cube roots of the numbers $3048625, 20346417, 210644875, 57066625$ using the fact that. $57066625 = 166375 \times 343$

Find the cube root of $46656$ by prime factorisation method.

In a rational number, twice the numerator is $2$ more than the denominator. If $3$ is added to each, the numerator and the denominator, the new fraction is $\frac{2}{3}.$ Find the original number.

For each of the following numbers, find the smallest, whole number by which it should be divided, so as to get a perfect square. Also, find the square root of the square number so obtained.
252

Evaluate: $\sqrt[3]{36}\times\sqrt[3]{384}$

If each edge of a cube is doubled.
(i) how many times will its surface area increase?
(ii) how many times will its volume increase?