Answer:
Step-by-step explanation:
Let's use the addition/elimination method to solve this. If we multiply the first equation through by -1 we can eliminate the x terms. Doing that gives us:
-x + 3y = 3
x + 3y = 9
The x's subtract each other away leaving us with
6y = 12 so
y = 2.
Now we will plug in 2 for y in either of the original equations to solve for x:
x + 3(2) = 9 and
x + 6 = 9 so
x = 3
The coordinate for the solution is (3, 2) or x = 3, y = 2
The second choice down is the one you want.
There are 5 letters in the word "prime"
Imagine we had 5 slots to fill. They are empty initially.
Slot 1 has 5 choices to pick from
Once we pick a letter, we have 4 choices left over for slot 2
Slot 3 will have 3 choices
Slot 4 will have 2 choices
Slot 5 will have 1 choice
We have this countdown: 5,4,3,2,1
which multiplies out to 5*4*3*2*1 = 120
There are 120 unique ways to arrange the letters. Order matters. Because order matters, this is a permutation.
Answer -0.54 a line on both 5 and 4
Step-by-step explanation:
Answer:
x= 5/2 or 1/2
Step-by-step explanation:
absolute value always gives us positive
if |u| = 2, u can be -2 or 2
2x-3 = 2
2x = 5
x = 5/2
2x-3 = -2
2x = 1
x= 1/2
in general, set the stuff inside the absolute value to equal both positive and negative of the equivalent value
