Question

solve the following pairs of linear equation by method of substation
2x + 3y = 12,
X - 2y = -1​

Answer 1

Step-by-step explanation:

2x + 3y = 12

$x = (12 - 3y)/2 \: \: \: \: \: \: \: \: \: \: - - 1equation$

substituting this value of x in other equation

So, we get,

$(12 - 3y)/2 - 2y = - 1$

$(12 - 3y - 4y)/2 = - 1$

$12 - 7y = - 2$

$7y = - 12 - 2$

$7y = - 14$

$y = 2$

Then,

$x + 4 = - 1$

$x = - 5$

Ans x = -5 and y = 2

Answer 2

2x+3y=12....eq.1

x-2y=-1....eq.2

Multiply equatin 2 by 2

2x-4y=-2...eq.3

subtrating eqution 1 &3

2x-3y=12

-

2x-4y=-2

(-) (+) (+)

-------------

0 +y=14

y=14

put y=14 in eq. 2

x-2y=-1

x-2.14=-1

x-28=-1

x=-1+28

x=27