Question

– 3х + 5y = – 4
px + 25y = 4
what value of p makes this system inconsistent

Answer 1

answer p=15

step by step explanation

Answer 2

• p = -15

Explanation:

Line 1

• -3x + 5y = -4
• 5y = 3x - 4
• y = 3/5x - 4/5

Line 2

• px + 25 y = 4
• 25y = -px + 4
• y = -p/25x + 4/25

The system is inconsistent if slopes are same, so we should have:

• 3/5 = - p/25
• 25*3/5 = -25p/25
• 15 = -p
• p = -15