Question

5x-2y=11 and 3x+4y=4
Find the value of x and y in equation.​

Answer 1

• 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`

`\\ \sf\longmapsto y=(-13)/(29)`

• Put in eq(1)

`\\ \sf\longmapsto 5x+(-117)/(29)=11`

`\\ \sf\longmapsto 5x=11+(117)/(29)=(261+117)/(29)=(278)/(29)`

`\\ \sf\longmapsto x=(278)/(145)`