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Question
If 2x + y = 13 and 4x – y = 17, find the value of (x – y).
Sum
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Solution
Given: 2x + y = 13 and 4x – y = 17.
Use elimination by adding the two equations.
Add: (2x + y) + (4x – y) = 13 + 17
⇒ 6x = 30
⇒ x = 5
Substitute x = 5 into 2x + y = 13
⇒ 2(5) + y = 13
⇒ 10 + y = 13
⇒ y = 3
Compute x – y = 5 – 3
= 2
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