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1 vote
Solve using elimination.

x + 6y = –20
–5x − y = –16

1 Answer

6 votes

Answer:

Explanation:

Multiply the first equation by -5:

-5x - 5y = 100

Add the two equations:

-10x - 6y = 84

Solve for x:

x = 8.4 + 0.6y

Substitute x back into one of the original equations:

x + 6y = -20

8.4 + 0.6y + 6y = -20

8.4 + 6.6y = -20

6.6y = -28.4 - 8.4

6.6y = -36.8

y = -5.52

Substitute y back into x = 8.4 + 0.6y:

x = 8.4 + 0.6(-5.52)

x = 8.4 - 3.312

x = 5.088

Therefore, the solution to the system of equations is x = 5.088, y = -5.52.

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