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yanalaym [24]
2 years ago
8

What is the solution to the system? 5x-y+z=4 x+2y-z=5 2x+3y-3z=5

Mathematics
1 answer:
aev [14]2 years ago
6 0
Eliminate one variable at a time.  We have three equations so we can solve for three variables.

(5x-y+z=4)-5(x+2y-z=5)=-11y+6z=-21

-2(x+2y-z=5)+(2x+3y-3z=5)=-y-z=-5

Now using the two yz equations above to cancel out z

(-11y+6z=-21)+6(-y-z=-5)=-17y=-51

-17y=-51  divide both sides by -17

y=3, making -y-z=-5 become:

-3-z=-5, z=2, making <span>5x-y+z=4 become:

5x-3+2=4

5x-1=4

5x=5

x=1

So the solution to the system of equations, (x,y,z) is (1,3,2)</span>
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A bag of marbles contains 16 red, 10 green, and 5 blue marbles. Suppose that two marbles are drawn without replacement. What is
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16/31, 51.612903225807%

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3 years ago
Suppose you have 6 pairs of socks in your sock drawer. It is still dark out in the morning when you get dressed, so you just pul
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8/33 = 0.242

Step-by-step explanation:

There are 12 socks to begin with and one is taken;

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If the socks don't match, a 3rd sock is taken;

The 3rd sock is taken from the remaining 10, 1 of which will match with the first sock and another which will match the second;

Therefore, the probability of taking a matching sock on the third pick will by 2/10 or 1/5 and the probability it will not match either of the first two is 8/10 or 4/5;

Once again, if the sock matches either of those previously taken, no further sock is taken;

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4 0
2 years ago
If G is the midpoint of FH, FG= 14x + 25 and GH = 73- 2x, find FH
Alenkinab [10]
Given that G is the midpoint of FH, then:
FG=GH
hence;
14x+25=73-2x
solving for x we get:
14x+2x=73-25
16x=48
x=48/16
x=3
therefore the length FG=14x+25 will be:
14*3+25
=67
hence FH will be:
FH=67*2=134
4 0
3 years ago
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