I need help with this it’s saying the “blank” Method would be the best for solving this system of equations 6x + 4y=8
-x+4y=12

-12+4y=x1

6(-12+4y)+4y=8

-72+24y+4y=8

28y=80

y=3.33

-12+4(3.33)=x

1.32=x

goog may have it for you

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