Question

solve : 3x-y = 2 ; 2x-y = 3
​

Answer 1

Answer:

3x - y = 2

2x -y = 3

add both equaltion we get

5x = 5

x = 1

putting value of x in equation 1

3(1) - y = 1

3 -y = 1

y = 2

value of x = 1

value of y = 2

Answer 2

Let

3x-y = 2 -------------------- equation - 1

2x-y = 3 -------------------- equation - 2

Let's solve equation 1,

$3x - y = 2 \\ 3x = 2 + y \\ x = \frac{2 + y}{3} - - - - - equation \: - \: 3$

Let's substitute the value of x in equation - 2 we get,

$2 \times \frac{2 + y}{3} - y = 3 \\ \frac{4 + y}{3} - y = 3 \\ on \: solving \: by \: taking \: lcm \: we \: get \\ \frac{4+ y - 3y}{3} = 3 \\ 4 - 2y = 3 \times 3 \\ - 2y = 9 - 4 \\ - 2y = 5 \\ y = \frac { - 5}{2}$

Let's substitute the value of y in in equation - 3 we get,

$x = \frac{2 + \frac{ - 5}{2} }{3} \\ x = \frac{\frac{4 - 5}{2} }{3} \\ x = \frac{ \frac{ - 1}{2} }{3} \\ x = \frac{ - 1}{2} \times \frac{1}{3} \\ x = \frac{ - 1}{6}$

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