Solve the following simultaneous equations `:`
`4x+ 3y =11, 3x + 4y = 10`

Answer

x= 2 and y = 1 is the solution of the given equations

Explanation

`4x+ 3y = 11 ` ….(i) , ` 3x + 4y = 10 ` …(2)
Adding equations (1) and (2) ,
`4x+ 3y = 11 ` …(1)
`3x+ 4y = 10 ` …(2)
`bar( 7x+ 7y = 21)`
`:. x + y = 3 ` … ( Dividing both the sides by 7 ) ….(3)
Subtracting equation ( 2) from equation (1) ,
`4x + 3y = 11 ` ....(1)
`underset(-)(3x) underset(-)+ 4y = underset(-)(10) `
`bar(x-y= 1 )` ...(4)
Adding equations ( 3) and (4)
`x +y = 3 `....(3)
`x- y = 1 ` ...(4)
`2x = 4 ` `:. x= 2 `
Substituting x=2 in equations (3),
` 2+ y = 3 ` `:. y = 3-2 ` `:. y = 1 `