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Step by step answer plz......find the value of y in terms of x... elimination method​

Answer»

ong>ANSWER:

y = - 1 \\ \\

Step-by-step EXPLANATION:

2x - 3y = 7 \: \: \: ...... (i) \\ \\ 5x + y = 9 \: \: \: .....(ii) \\ \\ \\ \\ \rm{Multiplying \: equation \: (i) \: by \: 5. \: \: We \: get , }\\ \\ 5(2x - 3y) =5 \times 7 \\ \implies 10x - 15y = 35\: \: \\ \therefore \: 10x - 15y = 35 \: \: ......(iii)\\ \\ \\ \\ \\ \rm{Multiplying \: equation \: (ii) \: by \: 2. \: \: We \: get , } \\ \\ 2(5x + y) = 2 \times 9 \\ \\ \implies \: 10x + 2y = 18 \: \: \\ \\ \therefore10x + 2y = 18 \: \: .....(iv)\\ \\ \\ \\ \\ \rm{Subtracting \: Equation (iv) \: form \: Equation (iii) \: . \: We \: get \: ,} \\ \\ Equation (iii) - Equation (iv) \\ \\ \implies(10x - 15y) - (10x + 2y) = 35 - 18 \\ \\ \implies \: 10x - 15y - 10x - 2y = 17 \\ \\ \implies \: \cancel{10x} \: \: \: - 15y \: \: \cancel{- 10x }- 2y = 17 \\ \\ \implies \: - 17y = 17 \\ \\ \implies \: y = \frac{17}{ - 17} \\ \\ \implies \: y = \frac{ \cancel{ - 17}}{ \cancel{17} } \\ \\ \implies \: y = - 1 \\ \\

HOPE IT HELPS YOU !

THANKS !


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