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Alenkasestr [34]
3 years ago
8

Solve the system by substitution -x-y-z= -8 -4x+4y+5z= 7 2x+2z= 4

Mathematics
2 answers:
o-na [289]3 years ago
8 0

Answer: x=3, y=6, z=-1

Step-by-step explanation:

2x+2z=4

2x=4-2z

X=2-z

-(2-z)-y-z=-8

-2+z-y-z=-8

-2-y=-8

-2+y=-8+y

-2+8=y

6=y

-4 (2-z)+4 (6)+5z=7

-8+4z+24+5z=7

9z=8-24+7

9z=-9

Z=-1

2x+2z=4

2x+2 (-1)=4

2x-2=4+2

2x=6

X=3

x=3 y=6 z=-1

Gennadij [26K]3 years ago
4 0
- x - y - z = - 8 ------- (1)
- 4x + 4y + 5z = 7 -------- (2)
2x + 2z = 4 --------- (3)

From (3): x + z = 2
                      x = 2 - z --------- (4)

Substitute (4) into (1),
- x - y - z = - 8
- (2-z) - y - z = - 8
- 2 + z - y - z = -8
- 2 - y = - 8
2 + y = 8
Therefore, y = 6

Substitute y = 6 and (4) into (2),
- 4x + 4y + 5z = 7
- 4(2 - z) + 4(6) + 5z = 7
- 8 + 4z + 24 + 5z = 7
9z + 16 = 7
9z = - 9
Therefore, z = - 9

Substitute z = - 9 into (4),
x = 2 - z
x = 2 - (-9)
x = 2 + 9
Therefore x = 11

Solution:
x = 11
y = 6
z = -9
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8+5n-6

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32 is the answer.

I hope this helps!
~kaikers
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3 years ago
Ten times the sum of half a number and 6 is 8
nexus9112 [7]
Let the required number is 2x ,





According to the condition,



➡ 10 times the sum of half of 2x and 6 = 8

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Therefore the value of x is -5.2


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3 0
3 years ago
A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it ta
larisa [96]

The interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.

<h3>How to interpret the equation?</h3>

The equation of the line of best fit is given as:

y = 9.5x

Divide both sides by x

9.5 = y/x

From the question, we have:

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This means that:

9.5 = number of miles run/time

Hence, the interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.

Read more about scatter plots at:

brainly.com/question/6592115

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8 0
1 year ago
Form a sequence that has two arithmetic means between 13 and 88.
hichkok12 [17]

Answer:

Correct choice is A

Step-by-step explanation:

For the numbers 13 and 88, find the difference 88-13:

since 88-13=75 and \dfrac{75}{3}=25 (two arithmetic means tells you there will be three intervals), two arithmetic means will be

  • 13+25=38;
  • 38+25=63.

The only correct sequence is 13, 38, 63, 88.


7 0
2 years ago
Read 2 more answers
Three of the choices are unit rates for the price of milk. which choice is not?$1.00 per 8 ounces$1.30 per pint$3.47 per gallon$
Sedbober [7]
$1.00 per 8 ounces, since it isn't in the simplest form (which isn't a unit rate)
7 0
3 years ago
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