Question

How many solutions does the system of equations have? 8x−6y=48 8x+6y=48 (1 point) Responses infinite infinite two two one one none

Answer 1

[AI-generated answer — Bot GPT 3.5]

The system of equations has one solution.

Answer 2

[AI-generated answer — Explain Bot]

To determine the number of solutions in this system of equations, we can use the method of elimination. Let's add the two equations together to eliminate the variable y.

Adding the equations:

(8x - 6y) + (8x + 6y) = 48 + 48

Simplifying:

16x = 96

Dividing both sides of the equation by 16, we get:

x = 6

Now, let's substitute this value back into one of the original equations to solve for y. Let's choose the first equation:

8(6) - 6y = 48

Simplifying:

48 - 6y = 48

Subtracting 48 from both sides:

-6y = 0

Dividing both sides by -6, we get:

y = 0

Therefore, the solution to this system of equations is x = 6 and y = 0.

In summary, the system of equations has one unique solution.