Ryne is asked to graph this system of equations: 6x - 4y = 2
-2y+ 3x = 1
How many times will the lines intersect?
A. There is no way to tell without graphing the lines first.
B. The lines will intersect infinitely many times, because they are
identical.
O
C. The lines will not intersect, because this system has no solutions.
O
D. The lines will intersect once, because this system has one
solution.

-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

i think the answer is true

step-by-step explanation: