Solve the following system of equations: `11 x+15 y+23=0,\ \ \ 7x-2y-20=0`

Explanation

The given equations are
` 11 x + 15y = - 23 " " `… (i)
` 7 x - 2y = 20 " " `… (ii)
Multiplying (i) by 2 and (ii) by 15 and adding the results , we get
` 22 x + 105 x = - 46 + 300`
` rArr 127 x = 254 `
` rArr x = ( 254 )/( 127) = 2 `
Putting ` x = 2 ` in (i), we get
` 22 + 15 y = - 23 `
`rArr 15y = - 23 - 22`
`rArr 15y = - 45 rArr y = (-45)/( 15) = - 3 `
Hence, ` x = 2 and y = - 3 `