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.
9514 1404 393
Answer:
(3, 1)
Step-by-step explanation:
We assume you want the solution to the system ...
The second equation gives a nice expression for x, so we can use that in the first equation.
2(y+2) -3y = 3 . . . . substitute for x in the first equation
2y +4 -3y = 3 . . . . . eliminate parentheses
-y = -1 . . . . . . . . . . . collect terms, subtract 4
y = 1 . . . . . . . . . . . . multiply by -1
x = 1 +2 = 3 . . . . . . substitute for y in the second equation
The solution is (x, y) = (3, 1).
Answer:
20/29
Step-by-step explanation:
sin θ = 21/29
Use Pythagorean identity:
sin² θ + cos² θ = 1
(21/29)² + cos² θ = 1
441/841 + cos² θ = 1
cos² θ = 400/841
cos θ = ±20/29
Since 0° < θ < 90°, cos θ > 0. So cos θ = 20/29.
Answer:
240 hours
Step-by-step explanation:
1 week = 20 hours
12 weeks = 20 × 12
= 240 hours
Answer:
A
Step-by-step explanation:
