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Question

Solve the simultaneous equations using elimination method.
7x+2y=12
2x17y=25

A
(10951,151102)
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B
(151102,10951)
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Solution

The correct option is A (10951,151102)
The given equations are:
7x+2y=12 ...(a)
2x14y=25 ...(b)

To eliminate x, multiply equation (a) by 2, and equation (b) by 7.

[7x+2y=12]×2
14x+4y=24 ...(c)

[2x14y=25]×7
14x98y=175 ...(d)

Now, substract (d) from (c).

(14x+4y)-(14x-98y)=24-175
14x+4y14x+98y=151
102y=151
y=151102

Substituting value of y in (a) we get,
7x+2(151102)=12
7x15151=12
7x=12+15151
7x=51×12+15151
7x=76351
x=10951

(10951,151102) is the solution.

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