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

Respuesta :

Answer:

Only one solution  [tex]x=\frac{5}{4},y=0[/tex]

Step-by-step explanation:

[tex]4x-5y=5..............(1)\\0.08x+0.10y=0.10...........(2)[/tex]

Multiply equation [tex](2)[/tex] by [tex]50[/tex]

[tex]4x-5y=5........(3)[/tex]

Now from equation [tex](1)[/tex][tex]+[/tex] equation[tex](3)[/tex]

[tex]8x=10\\x=\frac{10}{8}\\x=\frac{5}{4}[/tex]

Put the value in equation [tex](1)[/tex]

[tex]5-5y=5\\5y=0\\y=0[/tex]

hence only one solution exists[tex] \left(\frac{5}{4},0\right)[/tex].

Answer:

im pretty sure the answer is b: one answer only

Step-by-step explanation:

cuz it work

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