Solve the following linear equations and check your result
\[x^2 + y^2 = r^2\]
$$5x + \frac{7}{2} = \frac{3}{2}x – 14$$
$$4x + \frac{3}{5} = \frac{7}{3}x – 2$$
$$2x – \frac{1}{3} = \frac{3}{4}x + 2$$
$$3x + \frac{2}{7} = \frac{5}{2}x – 1$$
$$5x – \frac{1}{4} = \frac{2}{3}x + 7$$
$$6x + \frac{3}{8} = \frac{4}{5}x – 5$$
$$8x – \frac{1}{6} = \frac{5}{3}x + 2$$
$$7x + \frac{2}{9} = \frac{3}{2}x – 1$$
$$9x – \frac{3}{10} = \frac{2}{5}x + 4$$
$$10x + \frac{1}{2} = \frac{3}{4}x – 6$$
$$11x – \frac{1}{7} = \frac{4}{3}x + 5$$