Method of Substitution to Find the Solution of a Pair of Linear Equations
Solve the fol...
Question
Solve the following equations by the substitution method
11x−8y=27,3x+5y=−7
A
x=0,y=1
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B
x=0,y=−5
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C
x=2,y=3
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D
x=1,y=−2
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Solution
The correct option is Dx=1,y=−2 The equations are ⇒11x−8y=27....eq(1) ⇒x=27+811 ⇒3x+5y=−7....eq(2) Substitute the value of x in eq(2 ) ⇒3(27+8y)11+5y=−7 ⇒81+24y+55y=−77⇒79y=−158⇒y=−2 Substitute the value of y in eq (2 ) ⇒3x+5(−2)=−7⇒3x=3⇒x=1 ⇒x=1,y=−2