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Question

Solve the following pair of equations:
3x−y=23
x3+y4=4

A
x=4;y=1
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B
x=1;y=7
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C
x=9;y=4
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D
x=7;y=13
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Solution

The correct option is C x=9;y=4
We pick either of the equations and write one variable in terms of the other.

Let us consider the equation 3xy=23 and write it as

y=3x23...........(1)

Substitute the value of y in Equation x3+y4=4 or 4x+3y=48. We get

4x+3(3x23)=48

i.e. 4x+9x69=48

i.e. 13x=117

i.e. x=9

Therefore, x=9

Substituting this value of x in equation 1, we get

y=2723

i.e. y=4

Hence, the solution is x=9,y=4.

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