1. Solve the system of two linear equations.

Question

-3x - 4y = -23
3x - 5y = 5

Answer 1

To solve this system of equations, we can use the method of elimination. By adding the two equations together, we can eliminate the x variable.

-3x - 4y = -23
3x - 5y = 5

-3x - 4y + 3x - 5y = -23 + 5
-y = -18
y = 18

Now, we can substitute the value of y back into one of the equations to solve for x.

-3x - 4(18) = -23
-3x - 72 = -23
-3x = 49
x = -49/3

Therefore, the solution to the system of equations is x = -49/3 and y = 18.

Answer 2

The choices are:
A) (5,2)
B) (-5,2)
C) (-5,-2)
D) (5,-2)

Answer 3

Substitute the values of x and y back into the equations to check for the correct solution:

-3x - 4y = -23
-3(-5) - 4(2) = -23
15 - 8 = -23
7 = -23 (Not true)

3x - 5y = 5
3(-5) - 5(2) = 5
-15 - 10 = 5
-25 = 5 (Not true)

Therefore, the correct solution is not listed in the choices provided.