Question

Solve the following simultaneous equations. x + y = 3
x -y = 1

Answer 1

Answer: x = 2, y = 1

Step-by-Step Solution:

=> x + y = 3 (Eq. 1)
=> x - y = 1 (Eq. 2)

Adding Eq. 1 and Eq. 2, we get :-

2x = 3 + 1
2x = 4
x = 4/2
=> x = 2

Therefore, x = 2

Substitute value of ‘x’ in Eq. 1 :-

x + y = 3
(2) + y = 3
2 + y = 3
y = 3 - 2
=> y = 1

Therefore, y = 1

Hence, x = 2 and y = 1.

Answer 2

x = 2, y = 1 or (2, 1)

Explanation:

Solving by elimination method :

• x + y + (x - y) = 3 + 1
• 2x = 4
• x = 2

• 2 - y = 1
• y = 1

The solution is : x = 2, y = 1 or (2, 1)