Answer:
x = -3
y = 9
Explanation:
6x + 3y = 9 ⇒ ( 1 )
Divide the whole equation by 3.
2x + y = 3 ⇒ ( 2 )
-9x - 2y = 9 ⇒ ( 3 )
Let us take equation (2) and make y the subject of the equation.
2x + y = 3
y = 3 - 2x ⇒ ( 4 )
Now let us take equation (3) and find the value of x.
For that, we can replace y with ( 3 - 2x ).
Let us solve it now.
-9x - 2y = 9
-9x - 2 ( 3 - 2x ) = 9
-9x -6 + 4x = 9
-5x - 6 = 9
-5x = 9 + 6
-5x = 15
Divide both sides by (-5).
x = -3
And now let us take equation (4) to find the value of y.
For that, we can replace x with -3.
Let us solve it now.
y = 3 - 2x
y = 3 - 2 × -3
y = 3 + 6
y = 9