Answer:
The solution to the system of equations is x = 3 and y = 6.
Explanation:
To solve the system of equations:
Equation 1: x - y = -3
Equation 2: x + y = 9
There are several methods to solve this system of equations, such as substitution, elimination, or graphing. I'll demonstrate the substitution method:
From Equation 2, we can solve for x:
x = 9 - y
Substitute this value of x into Equation 1:
(9 - y) - y = -3
Simplify:
9 - 2y = -3
Now, isolate the variable y:
-2y = -3 - 9
-2y = -12
Divide both sides by -2:
y = -12 / -2
y = 6
Now substitute the value of y back into Equation 2 to find x:
x + 6 = 9
Subtract 6 from both sides:
x = 9 - 6
x = 3