Question

How many solutions exist for the system y = 2x + 5 and y = -0.2x - 4?

no solution


one solution


infinitely many solutions

Answer 1

y = y
2x + 5 = -0.2x - 4

2x + .2x = -4 - 5
2.2x = -9

One solution

Answer 2

y = 2x + 5 [1]
y = -0.2x - 4 [2]

[1]-[2] 0=2.02x+9
-9=2.02x
x=-4.46

So y= 2*-4.46+5
=-3.92

So there is only one solution.

Answer 3

:)