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