Question

Explain or show that the point (5, -4) is a solution to this system of equations:

A) It is not a solution.
B) It satisfies both equations.
C) It only satisfies the first equation.
D) It only satisfies the second equation.

Answer 1

The point (5, -4) is not a solution to the system of equations.

Step-by-step explanation:

The point (5, -4) is a solution to this system of equations because it satisfies both equations. Let's check:

The first equation is y = 2x + 6. Substitute x = 5 and y = -4 into the equation:

-4 = 2(5) + 6

-4 = 10 + 6

-4 = 16

This equation is not true, so the point (5, -4) does not satisfy the first equation.

The second equation is y = -3x - 19. Substitute x = 5 and y = -4 into the equation:

-4 = -3(5) - 19

-4 = -15 - 19

-4 = -34

This equation is also not true, so the point (5, -4) does not satisfy the second equation.

Therefore, the correct answer is A) It is not a solution.