Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

Q.

Solve $11x+15y+23=0,7x-2y-20=0$ by elimination method

Q.

A number is such that it is as much greater than 84 as it less than 108. The number is

Q.

Solve the following equation and check your results: $5t-3=3t-5$

Q.

A number consists of two digits whose sum is five. When the digits are reversed the number becomes greater by nine. Find the number.

Q. If $\frac{5x}{3}-4=\frac{2x}{5}$, then the numerical value of $2x-7$ is ____.

Q.

Solve the following pair of linear equations by the elimination method:

$x+y=5$

$2x-3y=4$

Q.

Solve the following equations and verify your answer :

$\frac{2x}{3x+1}=-3$

Q. The numbers are in the ratio 4:3. If they differ by 18, find these numbers.

Q.

Solve the equation:

$3(x-3)=5(2x+1)$

Q.

A hundred rupee note was changed into ten rupee notes and twenty rupee notes. There were seven notes in all. How many of each denomination were there?

Q. Question 14
If each observation of the data is increased by 5, then their mean:

A) Remains the same
B) Becomes 5 times the original mean
C) Is decreased by 5
D) Is increases by 5

Q.

The sum of three consecutive multiples of 3 is 63. Find the multiples

Q. Solve the following equation. |x-4|+|x+4|=8

Q.

Solve the following equation:
$\frac{5x}{3}+3=x+7$

Q.

Solve each of the following equations and also verify your solution :

$\frac{7}{x}+35=\frac{1}{10}$

Q. Question 5
6x =12

Q.

What is the value of (x-a)(x-b)(x-c)........(x-z)?

Q.

Solve:

$\frac{x}{3}+1=\frac{7}{15}$

Q.

Think a number. Multiply it by $3$ and add $4$ to the result. What is the result?

Q.

Solve each of the following equations and also verify your solution :

$\frac{5x}{3}+\frac{2}{5}=1$

Q.

Solve the equation:
$\frac{x}{3}+1=\frac{7}{15}$

Q.

Solve : $0.25+\frac{1.95}{x}=\mathrm{0.9.}$

Q.

The solution of the equation $\frac{3}{7}+x=\frac{17}{7}$ is 2.

1. True

2. False

Q.

Solve : $\frac{2x}{3}-\frac{x-1}{6}+\frac{7x-1}{4}=2\frac{1}{6}.$

Hence, find the value of 'a', if $\frac{1}{a}+5x=8.$

Q.

Solve $2x+\frac{5}{3}x+4=3$ And Find The Result.

Q.

Rene is 6 years older than her younger sister. After 10 years, the sum of their ages will be 50 years.Find their present ages.

Q. $\text{If}2a-3=5$
$\text{and}3b+1=2$,
$\text{then find the value of}(3b-2a).$

1. -3
2. -7
3. 7
4. - 9

Q. Ravish has three boxes whose total weight is $60\frac{1}{2}kg.$ Box B weighs $3\frac{1}{2}kg$ more than box A and box C weighs $5\frac{1}{3}$ more than box B. Find the weight of box A.

1. $\frac{289}{18}kg$
2. $\frac{229}{18}kg$
3. $\frac{241}{18}kg$
4. $\frac{265}{18}kg$

Q.

Solve each of the following equations and also verify your solution :

$\frac{x}{2}-\frac{4}{5}+\frac{x}{5}+\frac{3x}{10}=\frac{1}{5}$

Q. Question 14
Lakshmi is a cashier in a bank. She has currency notes of denominations ₹100, ₹50 and ₹10 respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is ₹ 4, 00, 000. How many notes of each denomination does she have?