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

im pretty sure the answer is b: one answer only

Explanation:

cuz it work

Answer 2

Only one solution
`x=(5)/(4),y=0`

Explanation:

`4x-5y=5..............(1)\\0.08x+0.10y=0.10...........(2)`

Multiply equation
`(2)` by
`50`

`4x-5y=5........(3)`

Now from equation
`(1)`
`+` equation
`(3)`

`8x=10\\x=(10)/(8)\\x=(5)/(4)`

Put the value in equation
`(1)`

`5-5y=5\\5y=0\\y=0`

hence only one solution exists
`\left((5)/(4),0\right)`.