2(× + 3y) = 2(9)
1(-2x + 2y) = 1(6)
Simplifying these equations, we get:
2x + 6y = 18
-2x + 2y = 6
Now, let's add the equations together:
(2x + 6y) + (-2x + 2y) = 18 + 6
This simplifies to:
8y = 24
Dividing both sides of the equation by 8, we find:
y = 3
Now, substitute the value of y back into one of the original equations. Let's use the first equation:
X + 3(3) = 9
Simplifying this equation, we get:
X + 9=9
Subtracting 9 from both sides, we find:
×= 0
Therefore, the solution to the system of
equations is x = 0 and y = 3.