Question

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

Answer 1

• (- 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)