Respuesta :

Answer:

1 solution

Step-by-step explanation:

Set it equal to 0

0=3/4x+12

Subtract 12

-12=3/4x

Multiply by 4

-48=3x

Divide by 3

X = -16

The equation has an infinite number of solutions

Given equation is,

[tex]y=\frac{3}{4}x+12[/tex]

We can write the given equation as,

[tex]3x-4y+12=0[/tex]

[tex]For x=1\\y=\frac{51}{4}\\For x=2\\y=\frac{27}{2}\\For x=3\\y=\frac{57}{4}[/tex]

In the above given equation for the different values of x gives the different solution of y.

Hence, the given equation has an infinite number of solutions.

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