A system of three linear equations in three variables is consistent and dependent. How many solutions to the system exist? none one three infinitely many.

Infinitely many solutions.

Step-by-step explanation:

The fact that they are dependent means they have at least 1 solutions, bu they all are also consistent, meaning that each equation is equal to the other 2 in the system, but multiplied by a real number k.

If we divide by this number k in each equation, we'll notice that all equations are equal and therefore they'll have infinite solutions.

john earns $14.00 for two hours of work.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?