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Question

Solve the following equations by substitution method.
2x3y3=7;4x5y5=10

A
x=72,y=5
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B
x=32,y=5
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C
x=12,y=5
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D
x=52,y=5
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Solution

The correct option is D x=52,y=5
Rewriting the given equations, we get
2x3y=10 ...(i)
4x5y=15 ...(ii)
We pick either of the equations and write one variable in terms of the other. Consider the Equation (i) and write it as x=10+3y2 ...(iii)
Substitute the value of x=10+3y2 in Equation (ii). we get,
4(10+3y2)5y=15
20+6y5y=15
y=5
Substituting this value of y=5 in Equation (iii). we get,
x=10+3(5)2=52
x=52,y=5

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