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shusha [124]
3 years ago
8

Solve this system of equations

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0

Answer:

D) x = 4, y = -2, z = 3

Step-by-step explanation:

x = 3z − 5

2x + 2z = y + 16

2(3z - 5) + 2z = y + 16

6z - 10 + 2z = y + 16

8z = y + 26 ---> (A)

7x − 5z = 3y + 19

7(3z - 5) - 5z = 3y + 19

21z - 35 - 5z = 3y + 19

16z = 3y + 54 ---> (B)

8z = y + 26

16z = 3y + 54

2(y + 26) = 3y + 54

2y + 52 = 3y + 54

y = -2

8z = -2 + 26

8z = 24

z = 3

x = 3(3) - 5

x = 4

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Show your work please.
Kruka [31]

Answer:

Tauren has 78 keychains

James has 34 keychains

Marcus has 68 keychains

Yahya has 74 keychains

Step-by-step explanation:

I got this answer by doing this:

If Tauren has 78 keychains then its gonna be left like that.

If everybody else has an average of 68 keychains then divide 68 by 2 to get half of what marcus has which equals 34.

Then add the amount of James and marcus keychains which is 68 plus 34 which equals 102, the subtract the 28 because it says Yayha has 28 fewer keychains and that equals 74.

3 0
3 years ago
On a blueprint lets say that every 1/4 inch is equal to 1 foot in real life.
Murrr4er [49]

Answer:

15 ft

Step-by-step explanation:

If every 1/4 of an inch is a foot, than every inch is 4 feet.

1 inch = 4ft

3 inches = 12ft

1/4 + 1/4 + 1/4 = 3/4

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12+3=15ft

6 0
3 years ago
What is the value of x in the triangle below?
solmaris [256]
Sin 45 = 8/x
x = 11.31
3 0
3 years ago
Reflect (5,-5) in (a) the x-axis and (b) the y-axis.
astraxan [27]

Answer:

a. (5,5)

b. (-5,-5)

Step-by-step explanation:

reflection over x-axis flips the sign of y-coordinate

reflection over y-axis flips the sign of x-coordinate

6 0
3 years ago
Fiona wrote the linear equation y = x – 5. When Henry wrote his equation, they discovered that his equation had all the same sol
Veronika [31]
It could be:
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no ?
8 0
3 years ago
Read 2 more answers
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