Solving Simultaneous Equations (Elimination & Substitution)

Question 1: Solve the following simultaneous equations

2x + 3y = 10 and 3x - 2y = 0

• x = 2, y = 3

• x = 3, y = 3

• x = 1, y = 4

• x = 5, y = 2

Question 2: Find the solution to the simultaneous equations

4x - 5y = 17 and 2x + 3y = 3

• x = 5, y = 2

• x = 3, y = -1

• x = 1, y = 1

• x = -2, y = 4

Question 3: Determine the values of x and y in the simultaneous equations

5x + 2y = 19 and 3x - 4y = 1

• x = 3, y = 2

• x = 7, y = 3

• x = 2, y = 4

• x = 5, y = 1

Question 4: Solve the following system of equations

6x - 3y = 18 and 4x + 2y = 12

• The solution to the system of equations is x = 3 and y = 0.

• The solution to the system of equations is x = 1 and y = 1.

• The solution to the system of equations is x = 2 and y = 4.

• The solution to the system of equations is x = 5 and y = 2.

Question 5: Find the solution to the simultaneous equations

7x + 2y = 25 and 3x - 5y = - 1

• x = 5, y = 4

• x = 2, y = 3

• x = 10, y = 1

• x = 3, y = 2

Question 6: Determine the values of x and y in the simultaneous equations

8x - 4y = 14 and 2x + 3y = 7

• x = 5, y = 3

• x = 2, y = 1

• x = 3, y = 2

• x = 10, y = 6

Question 7: Solve the following system of equations

9x - 2y = 12 and 5x + 4y = 22

• x = 3, y = 4

• x = 5, y = 1

• x = 2, y = 3

• x = 1, y = 2

Question 8: Find the solution to the simultaneous equations

6x + 3y = 21 and 4x - 2y = 10

• x = 7, y = 3

• x = 2, y = 4

• x = 5, y = 2

• x = 3, y = 1

Question 9: Determine the values of x and y in the simultaneous equations

7x - 5y = 9 and 3x + 2y = 8

• x = 3, y = 4

• x = 1, y = 3

• x = 5, y = 2

• x = 2, y = 1

Question 10: Solve the following system of equations

10x - 4y = 22 and 6x + 5y = 28

• x = 3, y = 2

• x = 5, y = 4

• x = 2, y = 6

• x = 7, y = 1