Question

Which of the following best describes the solution to the system of equations below? -8x + 3y = -9 9x - 3y = 9 A. The system of equations has exactly one solution where x = 0 and y = -3. B. The system of equations has exactly one solution where x = 8 and y = 3. C. The system of equations has no solution. D. The system of equations has infinitely many solutions.

Answer 1

Answer:

Option A. The system of equations has exactly one solution where x = 0 and y = -3

Step-by-step explanation:

we have

$-8x+3y=-9$ ----> equation A

$9x-3y=9$ -----> equation B

Solve the system by elimination

Adds equation A and equation B

$-8x+3y=-9\\9x-3y=9\\-----------\\-8x+9x=-9+9\\x=0$

find the value of y

substitute the value of x in equation A or equation B

$9(0)-3y=9\\y=-3$

so

The solution of the system is the point (0,-3)

therefore

The system of equations has exactly one solution where x = 0 and y = -3