Question

50 points.... just a lil confused

is the equation: one solution, no solution, or infinity many solutions

y=-2x-4
y=1/2x-5 (the 1/2x trips me up)

Answer 1

• One solution: (0.4, -4.8)

Explanation:

Given equations

• y = -2x - 4
• y = 1/2x - 5

This system has one solution since the two lines represented by the equations have different slopes.

Solution:

• -2x - 4 = 1/2x - 5
• -2x - 1/2x = -5 + 4
• -2.5x = -1
• 2.5x = 1
• x = 1/2.5
• x = 0.4

And y is:

• y = -2*0.4 - 4 = -4.8

The point is:

• (0.4, -4.8)