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Question

Solve the following pair of linear (simultaneous) equations by the method of elimination:
0.2x+0.1y=25
2(x2)1.6y=116

A
x=50,y=75
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B
x=29,y=66
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C
x=100,y=50
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D
x=60,y=30
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Solution

The correct option is B x=100,y=50
0.2x+0.1y=25 ...(1)
2x1.6y=120 ...(2)

Multiplying (1) by 10 and subtracting (3) and (2),
2x+y=250 ...(3)
2x1.6y=120 ...(2)
2.6y=130
y=50

Substituting y=50 in (1), we get
0.2x+5=25
0.2x=20
x=100

So,x=100,y=50
Option C

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