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kaheart [24]
3 years ago
8

How would you go about finding the solution to this system of three equations in three variables? Be specific. For example, you

might want to add the first two equations first, or multiply the third one by two first and use elimination, etc. (No right answer exists.)
2x – y + z = 7

x + 2y – 5z = -1

x – y = 6
Mathematics
1 answer:
kupik [55]3 years ago
3 0
I:2x – y + z = 7
II:x + 2y – 5z = -1
III:x – y = 6

you can first use III and substitute x or y to eliminate it in I and II (in this case x):
III: x=6+y
-> substitute x in I and II:
I': 2*(6+y)-y+z=7
12+2y-y+z=7
y+z=-5

II':(6+y)+2y-5z=-1
3y+6-5z=-1
3y-5z=-7

then you can subtract II' from 3*I' to eliminate y:
3*I'=3y+3z=-15

3*I'-II':
3y+3z-(3y-5z)=-15-(-7)
8z=-8
z=-1

insert z in II' to calculate y:
3y-5z=-7
3y+5=-7
3y=-12
y=-4

insert y into III to calculate x:
x-(-4)=6
x+4=6
x=2

so the solution is
x=2
y=-4
z=-1
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The ratio for Rowan = <u>4:1</u>.

The ratio for Marcia = <u>10:1</u>.

The ratio for Jillian = <u>5:1</u>.

The ratio for Lulua = <u>6:1</u>.

The smallest ratio among these for purple to white flowers is for Rowan, that is, <u>4:1</u>.

Ratios are fractions in the simplest form representing the relationship between two quantities.

The ratio of purple to white flowers for each friend can be shown as:-

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Thus, the ratio for Rowan = 4:1.

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Thus, the fraction of purple to white flowers = 10/1.

Thus, the ratio for Marcia = 10:1.

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The number of white flowers = 2

Thus, the fraction of purple to white flowers = 10/2 = 5/1.

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Thus, the ratio for Lulua = 6:1.

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brainly.com/question/3989414

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Step-by-step explanation:

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