Which ordered pair is in the solution set for the system of inequalities shown below? 2x-y<3
x+2y>-1

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

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

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: