Answer:
x=151/64 y=9/8 z=-51/32
Step-by-step explanation:
2x+2y+5z- (2x-y+z)=-1-2
3y+4z=-3
2x+2y+5z- (2x+4y-3z)=-1-14
-2y+8z=-15
We have two equations 3y+4z=-3 and -2y+8z=-15 (We get it due to elimination method)
3y+4z=-3 (2)
-2y+8z=-15 (-3)
6y+8z=-6
6y-24z=45
(6y+8z)- (6y-24z)= -6-45
32z=-51
z=-51/32
3y-204/32=-3
3y= -96/32+204/32
3y=108/32
y=36/32=9/8
2x+2*9/8+5*(-51/32)=-1
2x+9/4-255/32=-1
2x+72/32-255/32=-1
2x-183/32=-32/32
2x=151/32
x=151/64
1.Out of 12 possible letters (s+e+m+i+t+r+o+p+i+c+a+l=12 total letters)
5 are vowels SEMITROPICAL (e+i+o+i+a=5 vowels)
5 out of 12 are vowels 5/12 are vowels
P(vowel)=5/12
2. P(o)
Out of 6 total sides on a dice
none of them have a 0 side.
0/6
P(0)=0/6=0
The answer is in the picture! I hope this helps!
Answer:
True
Step-by-step explanation:
Answer:
Smaller is 5, larger is 14
Step-by-step explanation:
y is larger, x is smaller
2y = 3 + 5x
4y + 3x = 71
Let's solve for y in the first one, then substitute that into the second one.
y = 3/2 + 5/2x
4(3/2 + 5/2x) + 3x = 71
12/2 + 20/2x + 3x = 71
6 + 10x + 3x = 71
13x = 65
x = 5
Substitute that in to the first equation:
2y = 3 + 5(5)
2y = 3 + 25
2y = 28
y = 14
check those answers in the second equation
4y + 3x = 71
4(14) + 3(5)
= 56 + 15 =71