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forsale [732]
3 years ago
5

Select the correct answer.

Mathematics
1 answer:
boyakko [2]3 years ago
3 0

Answer:

  C.  no solutions

Step-by-step explanation:

Subtract the first equation from the second and you get ...

  (2x -y +2z) -(x +2y -z) = (6) -(3)

  x -3y +3z = 3

This equation is of a plane parallel to the plane of the third equation. There are no points of intersection, hence no solution.

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Step-by-step explanation:

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Solve the system of linear equations by substitution.<br><br> x=2y+7<br> 3x−2y=3
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<u>The system of equation</u>
First equation
x = 2y + 7
Second equation
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<u>Substitute x with (2y + 7) in the second equation</u>
3x - 2y = 3
3(2y + 7) - 2y = 3

use distributive property
3(2y) + 3(7) - 2y = 3
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add like terms
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<u>Substitute y with its value, which is -4.5, in the first equation</u>
x = 2y + 7
x = 2(-4.5) + 7
x = -9 + 7
x = -2

<u>The solution is</u>
<u />(x,y) = (-2, -4.5)
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