Martin has a bag of marbles. He removed one marble at random, recorded
the color and then placed it back in the bag. He repeated this process
several times and recorded his results in the table
Color
Frequency
12
Red
Blue
10
Based on his results, what is the probability the next marble Martin removes
is green?
15
Green
Yellow
13

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

are ya tryin to ask something or is this a statement