Linear Equations
Practice Linear Equations MCQs from Algebra — Mathematics.
If 37x + 43y = 123 and 43x + 37y = 117, find x and y.
A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. Find the fraction.
Solve for x and y: 2/(3x+2y) + 3/(3x-2y) = 17/5 and 5/(3x+2y) + 1/(3x-2y) = 2.
The age of the father is twice the sum of the ages of his two children. After 20 years, his age will be equal to the sum of the ages of his children. Find the father's age.
Points A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If they travel in the same direction, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What is the speed of the faster car?
Solve for x: 1/(x+1) + 1/(x+2) = 2/(x+10). (Though simplified it involves x^2, certain forms at SEE level are treated via logic).
In a triangle ABC, angle C = 3 * angle B = 2 * (angle A + angle B). Find angle B.
Find the values of x and y that satisfy: 4x + 6/y = 15 and 6x - 8/y = 14.
If the length of a rectangle is reduced by 5 units and breadth is increased by 3 units, the area is reduced by 9 sq units. If we increase length by 3 and breadth by 2, area increases by 67. Find length.
If x + y = a + b and ax - by = a^2 - b^2, then y is:
Solve for x: 1/2(x+1) + 1/3(x-1) = 5/12(x-2). (Checking SEE patterns for hard linear).
A two-digit number is 4 times the sum of its digits. If 18 is added to the number, the digits are reversed. Find the number.
If 0.4x + 0.3y = 1.7 and 0.7x - 0.2y = 0.8, find x.
Solve for x: x/a + y/b = 2 and ax - by = a^2 - b^2.
The ratio of incomes of two persons is 9:7 and the ratio of their expenditures is 4:3. If each saves Rs 2000, find the income of the first person.