Solve the following linear equations and check your result

\[x^2 + y^2 = r^2\]

$$5x + frac{7}{2} = frac{3}{2}x – 14$$

$$4x + frac{3}{5} = frac{7}{3}x – 2$$

$$2x – frac{1}{3} = frac{3}{4}x + 2$$

$$3x + frac{2}{7} = frac{5}{2}x – 1$$

$$5x – frac{1}{4} = frac{2}{3}x + 7$$

$$6x + frac{3}{8} = frac{4}{5}x – 5$$

$$8x – frac{1}{6} = frac{5}{3}x + 2$$

$$7x + frac{2}{9} = frac{3}{2}x – 1$$

$$9x – frac{3}{10} = frac{2}{5}x + 4$$

$$10x + frac{1}{2} = frac{3}{4}x – 6$$

$$11x – frac{1}{7} = frac{4}{3}x + 5$$