Take this Quiz: GCSE Maths: Simultaneous Equations | Zestly

Question 1

Solve the following system of linear equations for x and y: 2x + 3y = 12 and 2x - y = 4.

Accepted Answer

x = 3, y = 2

Question 2

Which of the following methods are valid ways to solve the system: 3x + y = 10 and x - 2y = 1?

Accepted Answer

Rearranging 3x + y = 10 to y = 10 - 3x and substituting into the second equation.

Question 3

A shop sells pens for £x and notebooks for £y. Three pens and two notebooks cost £8. Two pens and one notebook cost £5. Which system of equations represents this?

Accepted Answer

3x + 2y = 8 and 2x + y = 5

Question 4

Solve the system: x + y = 7 and x - y = 3. Which of the following are true?

Answer

x = 5

Answer

y = 2

Answer

x = 3

Answer

y = 4

Question 5

Solve the system: y = x^2 and y = x + 2. What are the possible values for x?

Answer

x = 1

Answer

x = 2

Answer

x = -1

Answer

x = 0