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
Both a and b are different of 0, so the system has one solution.
Answer:
Claire traveled for 9 days.
Step-by-step explanation:
Given:
Total Distance traveled = 701 miles
Distance traveled each day = 80 miles
Distance traveled on last day = 61 miles
We need to find the number of days Claire traveled.
Solution:
Let the number of days Claire traveled be denoted by 'd'.
Now we can say that;
Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.
framing in equation form we get;
Now Subtracting both side by 61 using Subtraction Property of Equality we get;
Now Dividing both side by 80 we get;
Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total <u>9 days</u> of travel.