Respuesta :

Answer:

  b)  3a + 5b = 3

Step-by-step explanation:

An equation is linear if each term is a constant or is of degree 1, that is, it has only one variable to the first power.

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a) the term containing xy is 2nd-degree

b) all non-constant terms are 1st-degree -- this is a linear equation

c) m^2 is a 2nd-degree term

d) x^2 and y^2 are both 2nd-degree terms

For this case we have that by definition, a linear equation is of the form:

[tex]y = mx + b[/tex]

Thus, we have the following options:

Option A:

[tex]\frac {2} {3xy} - \frac {3} {4y} = 0[/tex]

It is not a linear equation !!

Option B:

[tex]3a + 5b = 3\\5b = 3-3a\\b = - \frac {3} {5} a + \frac {3} {5}[/tex]

It is a linear equation!

Option C:

[tex]4m ^ 2 = 6[/tex]

It is a quadratic equation, the exponent of the variable is 2.

Option D:

[tex]x ^ 2 + y ^ 2 = 0[/tex]

It is a quadratic equation, the exponents are quadratic!

Answer:

Option B