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
[tex]\frac{6x}{7} - 8 = \frac{7x}{9} + \frac{10}{9}[/tex]
[tex]\frac{6x}{7} - \frac{7x}{9} = \frac{10}{9} + 8[/tex]
[tex]\frac{54x - 49x}{63} = \frac{10}{9} + \frac{72}{9}[/tex]
[tex]\frac{5x}{63} = \frac{82}{9}[/tex]
[tex]45x = 63*82[/tex]
Both a and b are different of 0, so the system has one solution.
