Elimination Method to Find the Solution of Pair of Linear Equations
Solve 2x + ...
Question
Solve 2x+3y=11 and 2x−4y=−24 and hence find the value of 'm' for which y=mx+3
A
3
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B
−4
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C
−1
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D
5
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Solution
The correct option is C−1 Given pair of equations are: 2x+3y=11..(i) 2x−4y−−24...(ii) Subtracting equation 2 from 1 will get ⇒7y=35 ⇒y=5 now Substituting y in eq 1 ⇒2x+15=11 ⇒2x=11−15 ⇒2x=−4 ⇒x=−2 In question given y=mx+3 Now substituting x and y values in eq will get ⇒5=−2m+3 ⇒2m=3−5 ⇒m=−1