Respuesta :

Answer:

There are infinite solutions to the system of equations given

Solution:

The given equations given are,

[tex]y=-\frac{x}{4}+2[/tex]------ (i)

[tex]3 y=-\frac{3 x}{4}-6[/tex]---- (ii)

Now putting the value of (i) in (ii) we get,

[tex]3 \times\left(-\frac{x}{4}+2\right)=-\frac{3 x}{4}-6[/tex]

[tex]\Rightarrow-\frac{3 x}{4}+6=-\frac{3 x}{4}-6[/tex]

[tex]\Rightarrow\frac{3 x}{4}-\frac{3 x}{4}=-12[/tex]

[tex]\Rightarrow0 \times x=-12[/tex]

[tex]\Rightarrowx=(\frac{-12}{0})=\infty[/tex]

So, there are infinite solutions to the system.

Answer:

Step-by-step explanation:

Infinite many solutions on edge 2020

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