Linear Equations

The perimeter of a rectangle is 24 cm. If the length is 2 cm more than the width, find the width.

If 5x - 2y = 1 and 3x + 2y = 15, what is the value of x?

A mother is 3 times as old as her son. If the sum of their ages is 48, how old is the son?

Solve for x: 0.2x + 0.5 = 1.3.

Find the values of x and y for the system.

If 1/x + 1/y = 5 and 1/x - 1/y = 1, find 1/x.

What is the slope of the line represented by the equation 2x + y = 5?

The sum of three consecutive integers is 33. What is the smallest integer?

Solve for x: (x+2)/3 = (x-1)/2.

Find k if the point (2, 3) lies on the line 2x + ky = 10.

In a class, the number of girls is 5 more than boys. If there are 35 students in total, how many boys are there?

Solve the equation: 5(x - 2) - 3(x + 1) = 1.

If 3x + 4y = 10 and 4x + 3y = 11, find the value of x + y.

A two-digit number is such that the sum of its digits is 9. If the digits are interchanged, the number increases by 9. Find the number.

The cost of 2 pencils and 3 pens is Rs 40. The cost of 3 pencils and 2 pens is Rs 35. Find the cost of a pencil.

Solve for x: x/2 + x/3 + x/4 = 13.

What value of a makes the lines ax + 2y = 5 and 2x + y = 3 parallel?

Solve for y: 4/(y-1) = 2.

If x/y = 2/3 and x + y = 10, find x.

Find the x-intercept of the line 3x - 4y = 12.