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Describe a situation that can be determined by using this system of equations*. Inspect the system to determine the number of solutions and interpret the solution within the context of your situation. *y=2x+10 and y=x+15. Plz answer ASAP, this is for a school assignment.

Sagot :

y=2x+10

y=x+15

minus these both together

0=x-5

x=5

y=10+10

y=20

x=5

one solution

Solution:

This requires the knowledge of system of equations.

  • y = 2x + 10

        y = x + 15

  • y = 2x + 10

      2(y = x + 15)

  • y = 2x + 10

      2y = 2x + 30

  • (y - 2y) = (2x - 2x) + (10 - 30)
  • => (y - 2y) = (10 - 30)
  • => -y = -20
  • => y = 20
  • => y = 2x + 10
  • => 20 = 2x + 10
  • => 20 - 10 = 2x
  • => 10 = 2x
  • => x = 5

Final Answer(s):

  • x = 5
  • y = 20
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