To solve this system of equations, we can use the method of elimination.
First, let's add the two equations together to eliminate x:
(-3x - 4y) + (3x - 5y) = -23 + 5
-4y - 9y = -18
-9y = -18
y = 2
Now that we have the value of y, we can substitute it back into one of the original equations to solve for x:
-3x - 4(2) = -23
-3x - 8 = -23
-3x = -23 + 8
-3x = -15
x = 5
Therefore, the solution to the system of equations is (5,2), which corresponds to answer choice A) (5,2).
Solve the system of two linear equations.
-3x - 4y = -23
3x - 5y = 5
A) (5,2)
B) (-5,2)
C) (-5,-2)
D) (5,-2)
1 answer