Answer:
[tex] (x, \: \: y) = (4, \: \: - \frac{1}{4} )[/tex]
Step-by-step explanation:
[tex] \frac{1}{4} x + \cancel{ 1 \frac{1}{2} y} = \frac{5}{8}...(1) \\ \\ \frac{3}{4} x - \cancel{ 1 \frac{1}{2} y} = 3 \frac{3}{8} ...(2) \\ - - - - - - - - - \\(adding\: equations\: 1 \:\&\:2) \\ ( \frac{1}{4} + \frac{3}{4} )x = \frac{5}{8} + 3 \frac{3}{8} \\ \\ \frac{4}{4} x = \frac{5}{8} + \frac{27}{8} \\ \\ x = \frac{32}{8} \\ \\ x = 4 \\ \\ plug \: x = 4 \: in \: equation \: (1) \\ \\ \frac{1}{\cancel 4} \times \cancel 4 + 1 \frac{1}{2} y = \frac{5}{8} \\ \\ 1 + \frac{3}{2} y = \frac{5}{8} \\ \\ \frac{3}{2} y = \frac{5}{8} - 1\\ \\ \frac{3}{2} y = \frac{5 - 8}{8}\\ \\ \frac{3}{2} y = \frac{ - 3}{8}\\ \\ y = \frac{ - 3}{8} \times \frac{2}{3} \\ \\ y = \frac{1}{4} \\ \\ (x, \: \: y) = (4, \: \: - \frac{1}{4} )[/tex]
