Consider the system of equations:y=−2x+4 y=−13x−1 The solution is (3, −2) . When verifying the solution, what does your final step look like?(1 point)Responses−1=−1negative 1 is equal to negative 1−2=−2negative 2 is equal to negative 24=44 is equal to 4−3=−3

Answer 1

To verify the solution (3, -2) for the system of equations:

1. Substitute \( x = 3 \) and \( y = -2 \) into both equations to see if both are satisfied.

First equation: \[ y = -2x + 4 \]
Substituting \( x = 3 \): \[ -2 = -2(3) + 4 \]
\[ -2 = -6 + 4 \]
\[ -2 = -2 \]
(This is true.)

Second equation: \[ y = -13x - 1 \]
Substituting \( x = 3 \): \[ -2 = -13(3) - 1 \]
\[ -2 = -39 - 1 \]
\[ -2 = -40 \]
(This does not hold true.)

Since the solution (3, -2) does not satisfy both equations, it is likely an incorrect solution for the system. Hence, we do not have a final step that results in equality here as the solution does not verify correctly.

However, if we were looking for which final step could have been chosen from the options given while verifying other equations from the solution or if the calculations on one of the equations led to an equality, the relevant final step would have been:

• −2 = −2 (for verifying the first equation).