Two lines, a and b, are represented by the following equations:

line a: 2x + y = 6
line b: x + y = 4

which statement is true about the solution to the set of equations?
it is (2, 2).
there are infinitely many solutions.
it is (4, 0).
there is no solution.

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.