Question
Solve the following pair of equations:
2x+y=7
3x+2y=12
Choose the correct answer from the given options.
2x+y=7
3x+2y=12
Choose the correct answer from the given options.
Answer: Option A
:
A
We have,
2x+y=7 ...(1)
3x+2y=12...(2)
Multiply equation (1)by 2, we get:
2(2x+y)=2(7)
⇒4x+2y=14...(3)
Subtracting (2) from (3) we get ,
x=2
Substituting the value of x in (1) we get,
2(2)+y=7⟹y=3
Thus, the solution for the given pair of linear equations is (2,3).
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:
A
We have,
2x+y=7 ...(1)
3x+2y=12...(2)
Multiply equation (1)by 2, we get:
2(2x+y)=2(7)
⇒4x+2y=14...(3)
Subtracting (2) from (3) we get ,
x=2
Substituting the value of x in (1) we get,
2(2)+y=7⟹y=3
Thus, the solution for the given pair of linear equations is (2,3).
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