Does 6 (x + 5) = 6x + 11 have one solution ?

6(x + 5) = 6x + 11

6x + 30 = 6x + 11

now, let's take a peek at both equations on the sides of the equal sign, since they're both in slope-intercept form, y = mx+b.

the left-hand-side has a slope of "6".

the right-hand-side has a slope of "6".

well, that's a flag that both lines are parallel.

now, they have different y-intercepts, one has 30 the other 11, that means one line is above the other, however they're both parallel, so they will never meet and thus do not have a solution, since recall that a solution is where they both meet or intersect.

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.