Math, asked by haseenafameer63, 9 months ago

solve the give equation by the method of substitution

2x+3y=9
3x+4y=9

Answers

Answered by sheshanth6130ssa
1

Step-by-step explanation:

2x=9-3y

x=9-3y/2 ( 1)

sub (1) 3(9-3y/2)+4y=9

y=18

sub y=18 x=45/2

Answered by Anonymous
3

AnSwEr :

⠀⠀⠀⠀⠀⠀⠀ \large{\boxed{\sf{\red{ x\:=\:-\:9}}}} \\ \\

⠀⠀⠀⠀⠀⠀⠀ \large{\boxed{\sf{\red{ y\:=\:9}}}} \\ \\

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SoLuTioN :

By using substitution method :

\implies \sf 2x\:+\:3y\:=\:9\:----\: \small {\red{Equation\:1}} \\

\implies \sf 3x\:+\:4y\:=\:9\:----\: \small{\red{Equation\:2}} \\ \\ \\

Now , working on equation 1 :

\large \sf x\:=\: \dfrac{9\:-\:3y}{2}

Substituting , this is Equation 2 :

\sf 3(\dfrac{9\:-\:3y}{2})\:+\:4y\:=\:9 \\

\sf \dfrac{27\:-\:9y}{2}\:+\:4y\:=\:9 \\

\sf \dfrac{27\:-\:9y\:+\:8y}{2}\:=\:9 \\

\sf \dfrac{27\:-\:y}{2}\:=\:9 \\

\sf 27\:-\:y\:=\:18 \\

\sf y\:=\:27\:-\:18 \\

\implies \large{\boxed{\sf{\red{ y\:=\:9}}}} \\ \\

Now , To find value of x , substitute value of y in Equation 1 :

\sf 2x\:+\:3(9)\:=\:9 \\

\sf 2x\:+\:27\:=\:9 \\

\sf 2x\:=\:9\:-\:27 \\

\sf 2x\:=\:-\:18 \\

\sf x\:=\: \dfrac{18}{2} \\

\implies \large{\boxed{\sf{\red{ x\:=\:-\:9}}}} \\ \\

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