Question

I need to figure out how many solutions does the system of equations below have.

Answer 1

Answer:

The system has one solution.

Step-by-step explanation:

To find the number of solutions of the system, we equal both equations for y.

If we have ax = b, in which both a and b are different of 0, we have one solution.

If both a and b are 0, we have infinite solutions.

If a is 0 and b is not, there are no solutions.

y=6/7x-8 and y=7/9x+10/9

So

$\frac{6x}{7} - 8 = \frac{7x}{9} + \frac{10}{9}$

$\frac{6x}{7} - \frac{7x}{9} = \frac{10}{9} + 8$

$\frac{54x - 49x}{63} = \frac{10}{9} + \frac{72}{9}$

$\frac{5x}{63} = \frac{82}{9}$

$45x = 63*82$

Both a and b are different of 0, so the system has one solution.