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Elina [12.6K]
2 years ago
13

Solve the System and write the solution as an ordered pair. 3x+3y=6 5x-6y=15

Mathematics
2 answers:
Ugo [173]2 years ago
4 0

\\ \sf\longmapsto 3x+3y=6\dots(1)

\\ \sf\longmapsto 5x-6y=15\dots(2)

Multiply eq(1) by 2 and eq(2) by 1

\\ \sf\longmapsto 6x+6y=12

\\ \sf\longmapsto 5x-6y=15

  • Add

\\ \sf\longmapsto 11x=27

\\ \sf\longmapsto x=\dfrac{27}{11}

Now

Put in eq(1)

\\ \sf\longmapsto 3\dfrac{27}{11}+3y=6

\\ \sf\longmapsto \dfrac{81}{11}+3y=6

\\ \sf\longmapsto 3y=6-\dfrac{81}{11}

\\ \sf\longmapsto 3y=\dfrac{66-81}{11}

\\ \sf\longmapsto 3y=\dfrac{15}{11}

\\ \sf\longmapsto y=\dfrac{15}{33}

mel-nik [20]2 years ago
3 0

Answer:

  • (-3, 5)

Step-by-step explanation:

<u>Given system:</u>

  • 3x+3y=6
  • 5x-6y=15

<u>Simplify the first equation by dividing all terms by 3:</u>

  • 3x/3 + 3y/3 = 6/3
  • x + y = 2
  • x = 2 - y

<u>Substitute x into the second equation:</u>

  • 5(2 - y) + 6y = 15
  • 10 - 5y + 6y = 15
  • y = 15 - 10
  • y = 5

<u>Find x:</u>

  • x = 2 - 5
  • x = -3
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