Advertisements
Advertisements
Question
Find the value of x and y if (2x + y, x + 2y) = (5, 4).
Sum
Advertisements
Solution
Given: 2x + y = 5, x + 2y = 4
Step-wise calculation:
1. Multiply the first equation by 2:
4x + 2y = 10
2. Subtract the second equation:
(4x + 2y) – (x + 2y) = 10 – 4
⇒ 3x = 6
⇒ x = 2
3. Substitute x = 2 into 2x + y = 5
⇒ 2(2) + y = 5
⇒ 4 + y = 5
⇒ y = 1
⇒ x = 2, y = 1
shaalaa.com
Is there an error in this question or solution?
