Hi there!
The way that an infinite number of solutions is achieved is when the two equations, when solved together, get an answer which is just a number equal to the same number. To do this, first substitute 6x-b in for y in the second equation.
Now, we see that b needs to be equal to -3 when multiplied by -1/2. When both sides are divided by -1/2, b becomes equal to 6. Thus, b must be 6.
Check work:
Thus, as they are equal to each other, the answer is correct. b = 6.
Hope this helps!
I'm sure there's an easier way of solving it than the way I did, but I'm not sure what it could be. Never dealt with a problem like this before.
Anyway, I just plugged in and tested. Chose random values for a, b, c, and d, which follow the rule 0 < a < b < c < d:
a = 1
b = 2
c = 3
d = 4
Simplify into standard form:
Use the quadratic formula to solve:
For functions in the form of
. So in this case:
a = 1
b = -4
c = 2
Plug them in:
Solve for 'x':
So the answer would be A.
Answer:
1.5
Step-by-step explanation:
(6,-4)*1.5=(9,-6)
(2,-8)*1.5=(3,-12)
Answer:
its 780 minutes
Step-by-step explanation:
multiply 13 by 60
Answer:
-2
Step-by-step explanation:
