Question

3x-2y=4 and x-y=-1 by substitution method​

Answer 1

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Answer 2

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☆ ANSWER:-

▪︎ Given Equations:-

$\tt\leadsto3x - 2y = 4.....eq(1) \\ \\ \tt\leadsto \: x - y = -1.....eq(2)$

▪︎ To Find:-

• Value of x and y by substitution method.

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▪︎ Now,

• By solving eq(2) we get,

$\sf \mapsto \: x - y = -1 \\ \\ \sf \large \red{\fbox{ \mapsto \: x = y-1}}...(3)$

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• So,

• By substituting the value of x in eq(1) we get,

$\sf \mapsto3x - 2y = 4 \\ \\ \sf \mapsto3(y - 1) - 2y = 4 \\ \\ \sf \mapsto 3y-3 - 2y = 4 \\ \\ \sf \mapsto y-3 = 4 \\ \\ \sf \mapsto \: y = 4 + 3 \\ \\ \sf \large\pink {\fbox{\mapsto \: y = 7.}}$

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▪︎ Again,

• By Putting the value of y in (3) we get,

$\sf \mapsto \: x = y-1 \\ \\ \sf \mapsto \: x = 7-1 \\ \\ \sf \large\pink{\fbox{\mapsto \: x = 6}}$

¤ Therefore the required value of x and y are 6 and 7 respectively.

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${\large{\green{\boxed{\bold{\therefore{x\:=\:6\:and\:y\:=\:7.}}}}}}$

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