Question

2x+3y=7;3x-y=5 solve by substituting method ​

Answer 1

Answer:

Heyy mate

Here's your Answer...

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✴ 2x + 3y = 7

=> 2x = 7 - 3y

=> x =( 7- 3y)/2 --------(1)

Putting equation 1 in equation 2.

=> 3x - y = 5

=> 3 ×( 7 -3y)/2 -y =5

=> 21/2 - 9/2y - y = 5

=> 21/2 - 5 = 9/2y + y

=> (21 - 10)/2 = (9y + 2y)/2

=> 21 - 10 = 9y + 2y

=> 11 = 11y

=> y = 1.

Putting y=1 in equation 1.

2x + 3y = 7

=> 2x = 7 - 3

=> x = 4/2

=> x = 2.

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Answer 2

$\sf{\underline{\boxed{\large{\blue{\mathsf{Solution}}}}}}$

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• Solve by substituting method

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Value of x and y

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

: $\sf\implies\:{\bold{ 2x + 3y = 7 }}$

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: $\sf\implies\:{\bold{ 2x = 7 - 3y}}$

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: $\sf\implies\:{\bold{ x = \dfrac{ 7 - 3y}{2} }}$----- ( i )

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: $\sf\implies\:{\bold{ 3x - y = 5 }}$

• Putting value of x from eq ( i )

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: $\sf\implies\:{\bold{ 3 \times \dfrac{ 7 -3y}{ 2} - y = 5 }}$

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: $\sf\implies\:{\bold{\dfrac{21 - 9y }{2} - y = 5}}$

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: $\sf\implies\:{\bold{ \dfrac{ 21 - 9y -2y }{ 2} = 5 }}$

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: $\sf\implies\:{\bold{ 21 - 11y = 10 }}$

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: $\sf\implies\:{\bold{ 11y = 21 - 10 }}$

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: $\sf\implies\:{\bold{ 11y = 11 }}$

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: $\sf\implies\:{\bold{ y = 1 }}$

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$\sf{\red{\boxed{\bold{y = 1}}}}$

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• Putting value of y in eq ( i )

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: $\sf\implies\:{\bold{ 3x - y = 5 }}$

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: $\sf\implies\:{\bold{ 3x - 1 = 5 }}$

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: $\sf\implies\:{\bold{ 3x = 5 + 1 }}$

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: $\sf\implies\:{\bold{ 3x = 6 }}$

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: $\sf\implies\:{\bold{ x = 2 }}$

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$\sf{\red{\boxed{\bold{x = 2}}}}$

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• Value of x = 2 and y = 1