Question

Solve the following system of equations.

18x+6y=3018x+6y=30
18x+22y=1418x+22y=14

Answer 1

• (2, -1)

Explanation:

Given system

• 18x+6y=30
• 18x+22y=14

Solve by elimination, subtract the equations and solve for y:

• 18x + 6y - 18x - 22y = 30 - 14
• -16y = 16
• y = -1

Find x by substituting y:

• 18x + 6(-1) = 30
• 18x - 6 = 30
• 18x = 36
• x = 36/18
• x = 2

The answer is: (2, -1)