Question
Download Solution PDFIf 3x + 7y = 78 and x + 3y = 32, then 2x + y = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
3x + 7y = 78 ...(1)
x + 3y = 32 ...(2)
Formula used:
Solving simultaneous equations.
Calculation:
Multiply equation (2) by 3:
3(x + 3y) = 3(32)
3x + 9y = 96 ...(3)
Subtract equation (1) from equation (3):
(3x + 9y) - (3x + 7y) = 96 - 78
2y = 18
y = 18 / 2
y = 9
Substitute y = 9 in equation (2):
x + 3(9) = 32
x + 27 = 32
x = 32 - 27
x = 5
Now, find 2x + y:
2x + y = 2(5) + 9
2x + y = 10 + 9
2x + y = 19
∴ 2x + y = 19.
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