Question
Download Solution PDFIf 3x + 2y = 7 and 4x - y = 24 then x - y =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
3x + 2y = 7
4x - y = 24
Calculation:
From the equation 1 and 2:
3x + 2y = 7 ....(1)
4x - y = 24 .....(2)
Multiply eqn (2) by 2 and solve both:
⇒ 3x + 2y = 7
⇒ 8x - 2y = 48
Adding both eqn:
⇒ 11x = 55 ⇒ x = 5
Put the value of x in eqn (1):
⇒ 15 + 2y = 7 ⇒ y = -4
So, the value of x - y = 5 - (-4) = 5 + 4 = 9
∴ The correct answer is option (1).
Last updated on May 26, 2025
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