Linear Equations

Solve for x: x/2 - x/3 = 1

The sum of a number and its double is 21. What is the number?

Solve: 4x + 3y = 24 where x = 0. What is y?

If 2x + 5 = 5x - 4, what is x?

A pen and a notebook cost Rs 45. The notebook costs twice as much as the pen. Price of pen?

Find the value of x: 3/(x-1) = 1

Solve for x and y: x + y = 5, 2x + y = 7

The difference between two supplementary angles is 20 degrees. Find the larger angle.

If 5x - 7 = 2x + 8, find x.

What is the y-intercept of the line 5x - 2y = 10?

Solve for p: 4p - 2(p - 3) = 10

Three times a number is 10 more than the number. Find the number.

Find x if x/4 + x/2 = 6

If 10% of x is 20, what is x?

The ratio of two numbers is 3:4 and their sum is 70. Find the smaller number.

If a number is added to its half, the result is 12. Find the number.

For what value of k will the lines 3x + y = 5 and kx + 2y = 10 be coincident?

In a two-digit number, the sum of digits is 9. If digits are reversed, the new number is 27 more than the original. Find the original number.

A boat travels 24 km upstream in 6 hours and 24 km downstream in 3 hours. Find the speed of the boat in still water.

Solve for x and y: 1/x + 1/y = 5/6 and 1/x - 1/y = 1/6