Simultaneous Equations

Math ⇒ Algebra

Simultaneous Equations starts at 8 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Simultaneous Equations. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 12

A shop sells pens and pencils. 3 pens and 2 pencils cost $11, while 2 pens and 3 pencils cost $10. Find the cost of one pen and one pencil.

A system of equations is given by: 2x + 3y = 13, 4x - y = 5. What is the value of y?

A system of equations is given by: x + 2y = 8, 3x - y = 7. What is the value of x?

Explain the difference between a consistent and an inconsistent system of equations.

Given the system: 3x - 2y = 4 and 5x + y = 13, find the value of y.

Given the system: 4x + 5y = 9, 2x - 3y = 1, solve for x.

Given the system: x + 2y + 3z = 14, 2x - y + z = 5, x - y + z = 6, solve for y.

Given the system: x + y + z = 6, 2x - y + 3z = 14, x - 2y + z = 2, find the value of z.

Solve for x and y: 2x + y = 7, x - 2y = -1.

Solve for x and y: x + 2y = 5, 2x + 4y = 10.

Solve for x and y: x + 4y = 10, 3x - 2y = 4.

Solve for y: 5x + 2y = 12, x - y = 1.

Solve the following system of equations: 2x + 3y = 7 and x - y = 1.

Solve the system: x + y + z = 6, x - y + z = 2, 2x + y - z = 5.