Multiplying the first equation by -1 and adding it to the third, we get 2y-8z=15 and by multiplying the first equation by -1 and adding it to the second equation, we get -3y-4z=3
Using the two equations, we have
2y-8z=15
-3y-4z=3
Multiplying the second equation by -2 and adding it to the third, we have 8y=9 and y = 9/8 by dividing both sides by 8. Plugging it back into
-3y-4z=3, we have -27/8-4z=3 and by adding 27/8 to both sides, we have -4z=51/8 and by dividing both sides by -4 we get z=-51/32.
Plugging it into 2x − y + z =2, we get 2x-9/8+5(-51/32)=2, we get x=151/64 by adding -(5(-51/32)) to both sides as well as adding 9/8 to both.
The number of soda bottles Katie bought is 6
The given parameters are:
- Large Pizza = $14.99
- Soda = $1.50 per bottle
- Total cost = $23.99
Assume the number of soda bottle is x.
So, we have:

This gives

Subtract 14.99 from both sides of the equations

Divide both sides of the equations by 1.5

Rewrite the equation as

Hence, the number of bottles is 6
Read more about linear equations at:
brainly.com/question/14323743
Answer:
your answer is 21
Step-by-step explanation:
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Problem 1
Answers: Choice A, choice D
The formula you use is
a & c/d = (a*d+c)/d
To convert from mixed number form to improper fraction form.
So,
6 & 2/3 = (6*3+2)/3 = (18+2)/3 = 20/3
And also,
8 & 1/5 = (8*5+1)/5 = (40+1)/5 = 41/5
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Problem 2
Answer: Reflection
Think of how mirrors cause a reflection and this should help you remember the term better. If we reflect point A over some line L, to get point A', then the distance from A to L is the same from A' to L also.
Answer:
17
Step-by-step explanation:
f(n)=5(n-1)+2
f(4)=5(4-1)+2
=5×3+2
=17
hope it helps
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