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Ahat [919]
3 years ago
14

I'm confused on how to go about solving this, I got to this part:

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0

Answer:

  • (3, -4, 6)

Step-by-step explanation:

The last equation has 2 variables

If we double the first equation and subtract the second one from it, we get rid of y and then comparing the new equation with the last one we can easily solve it

<u>Step 1</u>

  • 2(2x + y + 3z) = 2*20
  • 4x + 2y + 6z = 40

<u>Step 2</u>

  • 4x - x + 2y - 2y + 6z - (-z) = 40 - (-11)
  • 3x + 7z = 51

<u>Step 3</u>

  • 3x + 7z - (3x - 2z) = 51 - (-3)
  • 7z + 2z = 54
  • 9z = 54
  • z = 6

<u>Then finding x</u>

  • 3x - 2*6 = -3
  • 3x = 12 - 3
  • 3x = 9
  • x = 3

<u>Then finding y using the first equation</u>

  • 2*3 + y + 3*6 = 20
  • y + 24 = 20
  • y = -4

<u>The answer:</u>

  • (3, -4, 6)
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