Question

Solve the following simultaneous equations : with the help of steps
1. x + 2y = 1, 3x - y = 17​

Answer 1

x = 5, y = -2

Explanation:

Given equations:

• x + 2y = 1
• 3x - y = 17​

From the first equation we get:

• x = 1 -2y

Substitute x in the second equation, find y:

• 3x - y = 17
• 3*(1-2y) - y = 17
• 3 - 6y - y = 17
• -7y = 17 - 3
• -7y = 14
• y = -14/7
• y = -2

Find x:

• x = 1 - 2y
• x = 1 - 2*(-2)
• x = 1 + 4
• x = 5