Noah solved an equation as shown below and found that the equation has infinitely many solutions. Negative 3 (x + 4) + 2 x = 2 (x minus 6) minus 3 x. Negative 3 x minus 12 + 2 x = 2 x minus 12 minus 3 x. Negative x minus 12 = negative x minus 12.

Which explains whether Noah is correct?
Noah is correct because the two sides of the equation are equivalent expressions.
Noah is correct because if he continues the solution, the final solution will be x = negative 2.
Noah is not correct because the equivalent expressions mean that there is no solution.
Noah is not correct because he used the distributive property incorrectly.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3