To solve the system using elimination, we can eliminate one of the variables by adding the two equations together.
First, let's add the two equations:
(3x + 3y) + (x - 3y) = 27 + (-11)
Combining like terms, the y terms will cancel out:
4x = 16
Dividing both sides by 4, we find:
x = 4
Now, substitute the value of x back into one of the original equations to solve for y. Let's use the second equation:
x - 3y = -11
4 - 3y = -11
Subtracting 4 from both sides:
-3y = -15
Dividing both sides by -3, we find:
y = 5
Therefore, the solution to the system is (x, y) = (4, 5).
The correct answer is D: (4, 5).
Solve the sysetm using elimination.
3x + 3y = 27
x - 3y = -11
A: (8, 2)
B: (3, 6)
C: (6, 3)
D: (4, 5)
1 answer