Question

Solve the equation x+3y=6 and 2x-3y=12​

Answer 1

SOLUTION:-

x + 3y = 6 .........1

2x - 3y = 12 .......2

Adding equation 1 and 2

x - 3y = 6

-(2x - 3y = 12)

-x = -6

. •°• x = 6

Substituting in (1)

x + 3y = 6

6 + 3y = 6

3y = 6 - 6

3y = 0

y = 0/3

y = 0

(x, y) = (6, 0) is the solution of above equation.

More information about linear equation in two variable:-

An equation which contains two variables and the degree of each term containing variable is one, is called a linear equation in two variables.

ax + by + c = 0 is the general form of a linear equation in two variables;

a, b, c are real numbers and a, b are not equal to zero at the same time.

Ex. 3x - 4y + 12 = 0 is the general form of equation 3x = 4y - 12

Answer 2

Solution :-

➪ x + 3y = 6 ------( i )

➪ 2x - 3y = 12 --------( ii )

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

☆add eq i and ii

➪x + 3y + 2x - 3y = 6 + 12

➪3x = 18

➪x = 18 / 3

➪x = 6

☆putting value of x in eq i

➪ x + 3y = 6

➪ 6 + 3y = 6

➪3y = 6 - 6

➪3y = 0

➪y = 0

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

_____________________

Therefore :-

( x , y ) = ( 6 , 0 )