Solving Simultaneous Equations

Use the elimination method to solve: 2x + 3y = 12 and 4x - y = 5.

• x = 3, y = 2

• x = 5, y = 1

• x = 27/14, y = 19/7

• x = 1, y = 4

Apply the substitution method to solve: y = 2x + 1 and 3x - y = 4.

• (3, 7)

• (4, 9)

• (6, 13)

• (5, 11)

Check the solution for accuracy: x = 2, y = 3 in the equations 2x + y = 7 and x - y = -1.

• The solution is partially accurate.

• The solution is incorrect.

• The solution does not satisfy the equations.

• The solution is accurate.

Solve the following using elimination: 5x + 2y = 20 and 3x - 4y = -6.

• (3, 2)

• (0, 10)

• (2.615, 3.4625)

• (1, 5)

Use substitution to find x and y: x = 3y - 2 and 2x + y = 8.

• x = 10, y = 4

• x = 4, y = 2

• x = 22/7, y = 12/7

• x = 0, y = 0

Verify the solution: x = 1, y = 2 in the equations 3x + 4y = 11 and x - 2y = -3.

• The solution x = 2, y = 1 is correct.

• The solution x = 1, y = 3 is correct.

• The solution x = 1, y = 2 is correct.

• The solution x = 0, y = 2 is correct.

Eliminate y to solve: 6x + 5y = 30 and 2x - 3y = 4.

• x = 20

• x = 55/14

• x = 10

• x = 30

Substitute to solve: y = 4x - 3 and 5x + 2y = 10.

• (16/13, 25/13)

• (5, 7)

• (0, -3)

• (2, 1)

Check the solution: x = 0, y = 5 in the equations 2x + 3y = 15 and x + y = 5.

• The solution is partially correct.

• The solution is incorrect.

• The solution does not satisfy the equations.

• The solution is correct.

Solve using elimination: 7x - 2y = 14 and 3x + 4y = 6.

• (3, -1)

• (1, 3)

• (0, 2)

• (2, 0)