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Jasper
Mathematics
19 January, 10:02
If 3x+5y=2 and 2x-6y=20 what is 5x-y
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Shyanne Chan
19 January, 10:15
0
Answer: 22
Step-by-step explanation:
3x + 5y = 2 ... equation 1
2x - 6y = 20 ... equation 2
solving the system of linear equation by elimination method. Multiply equation 1 by 2 and equation 2 by 3, then we have
6x + 10y = 4 ... equation 3
6x - 18y = 60 ... equation 4
subtract equation 3 from equation 4, then we have
-28y = 56
divide through by - 28
y = - 2
substitute y = 2 into equation 1 to find the value of x, then we have
3x + 5 (-2) = 2
3x - 10 = 2
3x = 2 + 10
3x = 12
x = 4
Therefore:
5x - y = 5 (4) - (-2)
= 20 + 2
= 22
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