When they have no solutions, the lines are parlaell, or they have the same slope but different y intercept
example
3x+2y=2 and
3x+2y=4 are paralell
also
y=3x+2 and
y=3x+4 are also parlell, no solutions
infinite solutions are when they are the same line
they have the same slope and y intercept
to find out, simplify
3x+2y=4 and
6x+4y=8 are smae lien
also
y=3x+2 and
2y=6x+4 aer the same line
1 solution is when it is none of the above things
a normal thing, where the slopes are differnet
example
y=2x+2
y=3x+2
Answer:
Answer is 225.
We have to find the sum of 15 terms of the series
sigma 1 to 15 (2n-1)
This can be split as per summation terms as
sigma 2n - sigma 1
sigma 2n can again be simplified by taking 2 outside
sigma 2n= 2 times sum of natural numbers of 1 to 15
= 2(15)(16)/2= 240
sigma 1= 1+1+...15 times= 15
Hence final answer is
= 2 times sigma n - (n) = 240-15 = 225.
Step-by-step explanation:
It is impossible to solve for 2 unknown variables in an equation. In order to solve this, you must think mentally.
What two numbers can you add to make 22?
A good example is 15 and 8.
Can 15 and 8 be divided into smaller numbers?
Yes.
15/3 = 5
8/2 = 4
^
Notice how I'm dividing by the coefficient? *3*c and *2*f
So C can be 5 and F can be 4.
3(5) + 2(4) = 22
15 + 8 = 22
22 = 22
Answer:
-1
Step-by-step explanation:
-b+10b+2b+17=6
9b+2b+17=6
11b+17=6
11b=6-17
11b=-11
b=-1
