Solve the following equation and verify your answer: 2x-3 3x+2 =-… - Vidyadip

Question

Solve the following equation and verify your answer:
$\frac{2\text{x}-3}{3\text{x}+2}=-\frac{2}{3}$

✓

Answer

$\frac{2\text{x}-3}{3\text{x}+2}=-\frac{2}{3}$
$6\text{x}-9=-6\text{x}-4$ (After cross multiplication)
$6\text{x}+6\text{x}=-4+9$
$\text{x}=\frac{5}{12}$
$\therefore\text{x}=\frac{5}{12}$ is the solution of the given equation.
Chek:
$\text{L.H.S.}=\frac{2\times\frac{5}{12}-3}{3\times\frac{5}{12}+2}=\frac{\frac{5}{6}-3}{\frac{5}{4}+2}=\frac{-4}{6}=\frac{-2}{3}$
$\text{R.H.S.}=\frac{-2}{3}$
$\text{L.H.S.}=\text{R.H.S.} \text{ for} \text{ x}=\frac{5}{12}$

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 "4 Mark Question" from Linear Equations in One Variable→Linear Equations in One Variable — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

The sum of the digits of a two-digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find the original number. Check your solution.

Using square root table, find the square root,
$\frac{101}{169}$

The distance between two stations is 340km. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than that of the other by 5km/ hr. If the distance between the two trains after 2 hours of their start is 30km, find the speed of each train.

A shopkeeper marks his goods at 40% above the cost price but allow a discount of 5% for cash payment to his custmers. What actual profit does he make, if he recevies Rs. 1064 after paying the discount?

Radii of the circles are given below, find their areas.

17.5 cm

2x² + x – 45

The difference in simple interest and compound interest on a certain sum of money at $6\frac{2}{3}\%$ per annum for 3 years is Rs. 46 Determine the sum.

Rekha deposited Rs. 16000 in a foreign bank which pays interest at the rate of 20% per annum compounded quarterly, find the interest received by Rekha after one year.

Verify commutativty of addition of rational numbers for the following pairs of rotional number:
$4$ and $\frac{-3}{5}$

The height of a right circular cylinder is 10. 5m. Three times the sum of the areas of its two circular faces is twice the area of the curved surface. Find the volume of the cylinder.