Math, asked by Nitingenius205, 11 months ago

3x +4y =-5, 2x - 3y =8 by substitution method​

Answers

Answered by FIREBIRD
9

Step-by-step explanation:

We Have :-

3x + 4y =  - 5 \\  \\  \\ 2x - 3y = 8

To Find :-

x \: and \: y

Method Used :-

substitution

Solution :-

3x + 4y =  - 5 \\  \\  \\ 3x =  - 5 - 4y \\  \\  \\ x =  \dfrac{ - 5 - 4y}{3}  \\  \\  \\ 2x - 3y = 8 \\  \\  \\ putting \: value \: of \: x \\  \\  \\ 2(\dfrac{ - 5 - 4y}{3}) - 3y = 8 \\  \\  \\   \dfrac{ - 10 - 8y}{3}  - 3y = 8 \\  \\  \\   \dfrac{ - 10 - 8y - 9y}{3}  = 8 \\  \\  \\ \dfrac{ - 10 - 17y}{3}  = 8   \\  \\  \\  - 10 - 17y = 24 \\  \\  \\  - 17y = 34 \\  \\  \\  - y =  \dfrac{34}{17}  \\  \\  \\ y =  - 2 \\  \\  \\ putting \: this \: in \: equation \: of \: x \\  \\  \\ x =  \dfrac{ - 5 - 4y}{3}  \\  \\  \\ x =  \dfrac{ - 5 - 4( - 2)}{3} \\  \\  \\ x =  \dfrac{ - 5  + 8}{3} \\  \\  \\ x =  \dfrac{ 3}{3} \\  \\  \\ x = 1 \\  \\  \\ value \: of \: x \: is \: 1 \: and \: y \: is \:  - 2

Answered by SyedNomanShah
4

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