Question

How many solutions are there to the system of equations?

StartLayout enlarged left-brace 1st row 4 x minus 5 y = 5 2nd row negative 0.08 x + 0.10 y = 0.10 EndLayout

no solutions
one solution
two solutions
an infinite number of solutions

Answer 1

A. no solutions

Explanation:

100% on edge

Answer 2

The system has no solutions

Explanation:

we have

`4x-5y=5` -----> equation A

`-0.08x+0.10y=0.10` ----> equation B

Isolate the variable y in the equation A

`5y=4x-5`

`y=(4)/(5)x-1`

`y=0.8x-1` -----> equation A'

Isolate the variable y in equation B

`0.10y=0.08x+0.10`

`y=(0.08)/(0.10)x+1`

`y=0.8x+1` ------> equation B'

Compare the equations A' and B'

The lines have the same slope but different y-intercept

Are parallel lines

therefore

The system has no solutions