The longest sides of a rectangle are 3 inches less than six times the length of the shorter sides. the perimeter of the rectangle is 50 inches. find the measures of the sides of the rectangle.

the shorter sides are 4 inches and the longer sides are 21 inches long

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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.