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Question

Solve the following equations by substitution method.2x−3y−3=7;4x−5y−5=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=−5Rewriting the given equations, we get2x−3y=10 ...(i)4x−5y=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+6y−5y=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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