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Solve the system using substitution. 6x+8y=30 y=1/2x
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18 votes
Solve the system using substitution.
6x+8y=30 y=1/2x

User Baked Inhalf
by
5.4k points

1 Answer

10 votes

Answer:

  • (3, 1.5)

Explanation:

Given the system:

  • 6x + 8y = 30
  • y=1/2x

Substitute y and solve for x:

  • 6x + 8y = 30
  • 6x + 8(1/2x) = 30
  • 6x + 4x = 30
  • 10x = 30
  • x = 3

Find y:

  • y = 1/2x
  • y = 1/2(3)
  • y = 1.5

Solution is (3, 1.5)

User Juanito
by
5.3k points
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