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Solve `4x+3y =11 and 3x +4y =10`.

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Best answer
`4x +3y =11" "`(1)
`3x+4y =10" " `(2)
Step 1: Adding both the equations, we get
`7x+7y = 21`
`rArr 7(x+y)= 7xx3`
`rArr x +y =3" "` (3)
Step 2: Subtracting the equation (2) from the equation (1)
`(4x+3y) - (3x+4y)= 11 -10`
`rArr x-y =1 " "` (4)
Step 3: Adding the equations (3) and (4), we get
`(x+y)+ (x-y)= 3+1`
`2x =4 rArr x =2`
`2+y =3` (from (3))
`y =1`
Substituting `y =1` in any of the equations (1), (2), (3) or (4), we get `x =2`.
The solution of the pair of equations is `x =2 and y =1`.

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