5x-2y=11 and 3x+4y=4Find the value of x and y in equation.
2 answers:
- 5x-3y=11---(1)
- 3x+4y=4---(2)
(1)×3 and (2)×5
- 15x-9y=33-(3)
- 15x+20y=20-(4)
Subtract both
![\\ \sf\longmapsto -29y=13](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20-29y%3D13)
![\\ \sf\longmapsto y=\dfrac{-13}{29}](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20y%3D%5Cdfrac%7B-13%7D%7B29%7D)
![\\ \sf\longmapsto 5x+\dfrac{-117}{29}=11](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%205x%2B%5Cdfrac%7B-117%7D%7B29%7D%3D11)
![\\ \sf\longmapsto 5x=11+\dfrac{117}{29}=\dfrac{261+117}{29}=\dfrac{278}{29}](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%205x%3D11%2B%5Cdfrac%7B117%7D%7B29%7D%3D%5Cdfrac%7B261%2B117%7D%7B29%7D%3D%5Cdfrac%7B278%7D%7B29%7D)
![\\ \sf\longmapsto x=\dfrac{278}{145}](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20x%3D%5Cdfrac%7B278%7D%7B145%7D)
Answer:
Step-by-step explanation:
![x=2; y=-\frac{1}{2}](https://tex.z-dn.net/?f=x%3D2%3B%20y%3D-%5Cfrac%7B1%7D%7B2%7D)
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