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nadya68 [22]
3 years ago
8

What is the solution to the system of equations shown below 2x-y+z=4 4x-2y+2z=8 -x+3y-z+=5

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0

Answer:

Step-by-step explanation:

2x - y + z = 4

4x - 2y + 2z = 8

-x + 3y - z = 5

2x - y  + z = 4

-x + 3y - z = 5

x + 2y = 9

4x - 2y + 2z = 8

-2x + 6y - 2z = 10

2x + 4y = 18

x + 2y = 9

2x + 4y = 18

-2x - 4y = -18

2x + 4y = 18

0 =0

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The equation of the line that is parallel to the given line and passes through the point (-2,2) is:

y = \frac{x}{5} + \frac{12}{5}

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

When two lines are parallel, they have the same slope. In this problem, the given line passes through (-5,-4) and (0,-3), hence the slope is:

m = (-3 - (-4))/(0 - (-5)) = 1/5.

Hence the equation is:

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