lolitaduarte84 lolitaduarte84
  • 22-01-2022
  • Mathematics
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Find the value of in the solution to the system of equations shown.

y=5x + 3
2y=18x + 10

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SaveTheFlock
SaveTheFlock SaveTheFlock
  • 23-01-2022

Answer:

x = -1/2     y = 1/2

Step-by-step explanation:

y = 5x + 3 ————> (1)

2y = 18x + 10 ————> (2)
Substitute for y in second equation

2(5x + 3) = 18x + 10    Distributive property

10x + 6 = 18x + 10       Subtract 10x from both sides

6 = 8x + 10                  Subtract 10 from both sides

-4 = 8x                         Divide both sides by 8

x = -1/2

Substitute for x using the first equation

y = 5(-1/2) + 3

y = - 5/2 + 3

y = 1/2


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