Question

Which of the following represents the point of intersection of the system of equations shown below?

3x + 4y = 7
6x + 8y = 14
A. (0, 0)
B. (1, 1)
C. (4, 6)
D. None of the above

Answer 1

None of the Above

Step-by-step explanation:

I solved the equation and it was same slope and y intercept. Like Carlosego said, it is infinitely many solutions; however the question is WHERE DOES IT INTERSECT. Since both equations are the same EXACT line, the dont intercept so it is none of the above. BTW I got this right in prepworks so yeah THIS IS RIGHT : )

Answer 2

For this case we must find the solution of the following system of equations:

`3x + 4y = 7\\6x + 8y = 14`

If we multiply the first equation by -2 we have the following equivalent system:

`-6x-8y = -14\\6x + 8y = 14`

If we add the equations we have:

`-6x + 6x-8y + 8y = -14 + 14\\0 = 0`

Thus, the system has infinite solutions.

Answer:

Infinite solutions