Which correctly explains the number of solutions of the following system of linear
equations?
-3x + 3y = 12
y = x + 4
A
The graphs of the equations are parallel lines because they have the same slope
but different y-intercepts. The system has no solution.
B
The graphs of the equations are lines that intersect at one point because the
equations have the same slope but different y-intercepts. The system has
exactly one solution.
The graphs of the equations are lines that intersect at one point because the
equations have the same slope and same y-intercept. The system has exactly
one solution.
D
The graphs of the equations are the same line because the equations have the
same slope and same y-intercept. The system has infinitely many solutions.

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?

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!

the answer should be a. snail