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Question
Solve for x and y:
If 2x + y = 23 and 4x – y = 19, find the values of (5y – 2x) and `(y/x - 2)`.
Sum
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Solution
Given: 2x + y = 23 and 4x – y = 19
Step-wise calculation:
1. Add the equations:
(2x + y) + (4x – y) = 23 + 19
⇒ 6x = 42
⇒ x = 7
2. Substitute x = 7 into 2x + y = 23
⇒ 14 + y = 23
⇒ y = 9
3. Compute 5y – 2x
= 5(9) – 2(7)
= 45 – 14
= 31
4. Compute `(y/x − 2)`
= `9/7 - 2`
= `(9 - 14)/7`
= `-5/7`
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