Question

find the value of x and y : x+y=5 , 2x+3y =4
plzz give full solution ​

Answer 1

Answer:

$x+y=5 \: \: \: \: \: \: (multiply \: by \: 2) \\ 2x + 2y = 10 \: \: \: \: \: \: ........1 \\ 2x+3y =4 \: \: \: \: \: \: ........2 \\ subtract \: 1 \: and \: 2 \\ 2x + 2y - (2x + 3y) = 10 - 4 \\ 2x + 2y - 2x - 3y = 6 \\ - y = 6 \\ y = - 6 \\ now \: put \: the \: value \: of \: y \: in \: x + y = 5 \\ x - 6 = 5 \\ x = 5 + 6 \\ x = 11$

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Answer 2

x+y=5

y=5-x....1

2x+3y=4

now we will put the value of y in this expression that we have found

2x+3(5-x)=4

2x+15-3x=4

-x+15=4

now we will take the sign of negative as common and shift it to right side

-(x-15)=4

x-15=-4

x=15-4

x=11

Now we will find the value of y

x+y=5

11+y=5

y=5-11

y=-6

So

x=11 and y=-6