Question

İn the system equations above, n is a constant. İf the system has no solution, what is the value of n

nx+3y=6
12x-6y=0


50 points!!

Answer 1

• n = - 6

Explanation:

Given is the system of linear equations:

• nx + 3y = 6
• 12x - 6y = 0

Convert both equations into slope intercept form:

• nx + 3y = 6 ⇒ 3y = - nx + 6 ⇒ y = - 1/3nx + 2
• 12x - 6y = 0 ⇒ 6y = 12x ⇒ y = 2x

The system has no solution if lines have equal slopes with different y-intercepts:

• -1/3n = 2
• n = - 6