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44 votes
Solve the system of linear equations -x+4y=-8 -1/4x+y=-1​

User Darlinton
by
2.7k points

1 Answer

23 votes
23 votes

Answer:

  • (- 2, - 6)

Explanation:

Given system:

  • x + 4y = -8
  • -1/4x + y = -1​

1. Multiply the second equation by - 4 to get:

  • (- 4)(-1/4x + y ) = (- 4)(- 1)
  • x - 4y = 4

2. Now, add this up with the first equation:

  • x + 4y + x - 4y = - 8 + 4
  • 2x = - 4
  • x = - 2

3. Find the value of y:

  • - 2 + y = - 8
  • y = - 8 + 2
  • y = - 6

The solution is (- 2, - 6)

User Nick Collier
by
3.1k points
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