Math, asked by saloni1080, 6 months ago

5x+4y=9...1 st equation
and 4x+5y=18...2nd equation then find x+y​

Answers

Answered by Anonymous
4

Answer:

5x + 4y = 9 -  -  -  -  - (1) \\ 4x + 5y = 18 -  -  -  -  - (2) \\  \:  \:  \:  \:  \: using \:  \: elimination \:  \: method \\ multiply \:  \: equation \:  \: (1) \:  \: by \:  \: 4 \\ 4(5x + 4y) = 4(9) \\ 20x + 16y = 36 -  -  -  - (3) \\ multiply \:  \: equation \:  \: (2) \:  \: by \:  \: 5 \\ 5(4x + 5y) = 5(18) \\ 20x + 25y = 90 -  -  -  -  - (4) \\ subtract \:  \: (3) \:  \: and \:  \: (4) \\ 20x + 16y = 36 \\ 20x + 25y = 90 \\  -  \:  \:  \:  -  \:  \:  \:  \:  -  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  - 9y =  - 54 \\ y =  \frac{ - 54}{ - 9}  \\ y = 6 \\ put \:  \: value \:  \: of \:  \: y \:  \: in \:  \: (1) \\ 5x + 4y = 9 \\ 5x + 4(6) = 9 \\ 5x + 24 = 9 \\5x = 9 - 24 \\ 5x =  - 15 \\ x =  \frac{ - 15}{5}   \\ x =  - 3 \\ so \:  \: the \:  \: value \:  \: of \:  \: x \:  \: and \:  \: y \:  \: are \\ x =  - 3 \:  \: and \:  \: y = 6

I hope it will help you

Answered by ritikabhutyal1
3

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