Question

3x-2y=9,2x-3y=2 by substution method in easy way.​

Answer 1

Step-by-step explanation:

x = 23/5

y= 24/10

(for y put value of x in any one equation)

Answer 2

3x - 2y = 9 ----(i)

2x - 3y = 2 ----(ii)

From (ii),

$\tt{x = \frac{2 + 3y}{2} } \: \: \: \: \: \: \: \: \: \: \rm \cdots(a)$

Putting equation (a) in equation (i), we get,

$\tt \to3 \bigg( \frac{2 + 3y}{2} \bigg) - 2y = 9 \\ \\ \tt \to \frac{6 + 9y}{2} - 2y = 9 \\ \\ \tt \to \frac{6 + 9y - 4y}{2} = 9 \\ \\ \tt \to6 + 5y = 18 \\ \\ \tt \to5y = 18 - 6 \\ \\ \tt \to5y = 12 \\ \\ \tt \to \: y = \frac{12}{5}$

Now,

$\tt{x = \frac{2 + 3y}{2} } \\ \\ \tt \to \: x = \frac{2 + 3( \frac{12}{5}) }{2} \\ \\ \tt \to \: x = \frac{2 + \frac{36}{5} }{2} \\ \\ \tt \to \: x = \frac{ \frac{10 + 36}{5} }{2} \\ \\ \tt \to \: x = \frac{46}{5 \times 2} = \frac{46}{10} = \frac{23}{5}$

Thus,

• Value of x = 23/5
• Value of y = 12/5