Question

If 2x+3y=7 and 3x+2y=8 then the value of x and y are..?

Answer 1

2x+3y=7 ...(1)
3x+2y=8...(2)

multiplying eqn (1) with 2 and and eqn (2) with 3 we get ,

4x+6x=14
9x+6x=24


subtracting we get,
-5x = -14
x = 2whole 4/5

Therefore putting value of X in any equation you can find the value of y

Answer 2

Given equations,

 $2x+3y=7....(1) \\3x+2y=8 ....(2)$

From $(1)$, we have,

$y=(7-2x)/3\\now,$

putting this value of $y$ in $(2)$

= $3x+2{(7-2x)/3}=8$

on simplifying , we get

$9x+14-4x=24\\x=2$

substituting the value of $x$ in $(1)$

we get ,

$y=(7-2x)/3\\=(7-2*2)/3\\=(7-4)/3\\=3/3\\y=1$

hence , the values of $x$ and $y$ are $2$ and $1$ respectively.

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