(4,-3) because that’s where both lines intersect between each other.
Answer:
If a system has infinitely many solutions, then the lines overlap at every point. In other words, they're the same exact line! This means that any point on the line is a solution to the system. Thus, the system of equations above has infinitely many solutions.
Step-by-step explanation:
Lets set the two numbers as 'a' and 'b'
Now let us set up some equations based on the information:
- sum of two numbers 49 --> a + b = 49
- difference of the two numbers is 15 --> a -b =15
Equations
a + b = 49 -- equation 1
a - b = 15 -- equation 2
Solve:
(equation 1) + (equation 2)
2a = 64
a = 32 -- equation 3
(equation 3)'s value of a into (equation 2)
32 - b = 15
b = 17
The products of 'a' and 'b' is 544
Hope that helps!
Answer:
Nina practiced the viola for 11.25 hours last week.
Step-by-step explanation:
Juan practiced the violin for 9 hours last week. For each 3 hours that he practices the violin, he practices 2.5 hours of cello. So
3h violin - 2.5h cello
9h violin - xh cello
He practiced 7.5 hours of cello, the same as Nina.
For every 3 hours Nina spends practicing the viola she practices the cello for 2 hours. So:
3h viola - 2h cello
xh viola - 7.5h cello
Nina practiced the viola for 11.25 hours last week.
