Answer:
The value of x is 6 and The value of y is - 4
Step-by-step explanation:
Given as :
The Two linear equation is
- 3 x - 9 y = 18
4 x + 3 y = 12
Now,
4 × ( - 3 x - 9 y ) = 4 × 18
Or, - 12 x - 36 y = 72 ......1
And 3 × ( 4 x + 3 y ) = 3 × 12
or, 12 x + 9 y = 36 .....2
Solving eq 1 and 2
( 12 x + 9 y ) + ( - 12 x - 36 y ) = 72 + 36
Or, 9 y - 36 y = 108
or , 27 y = - 108
∴ y = - [tex]\frac{108}{27}[/tex]
I.e y = - 4
Put the value of y to get x value
So, 12 x + 9 (-4) = 36
Or, 12 x = 36 + 36
or, 12 x = 72
∴ x = [tex]\frac{72}{12}[/tex]
I.e x = 6
Hence The value of x is 6 and The value of y is - 4 Answer