Question

Does the equation specify a function with independent variable​ x? If​ so, find the domain of the function. If​ not, find a value of x to which there corresponds more than one value of y. 6 x plus 19 yequals7

Answer 1

Yes, the equation specifies a function with independent variable​ x.

Equation: 6x + 19y = 7

This can be put in y = mx + b form,

6x + 19y = 7

19y = -6x + 7

y = -$\frac{6}{19}$x + $\frac{7}{19}$

Since the equation can be put in the form of a linear function, the domain is all read numbers (-∞,∞) or -∞ < x < ∞ .