[tex] \frac{x}{y} = \frac{4}{3} \\ {x}^{2} - {y}^{2} = 28 \\ \\ \frac{x}{4} = \frac{y}{3} = k \\ x = 4k \\ y = 3k \\ (4k) ^{2} - {(3k)}^{2} = 28 \\ 16 {k}^{2} - 9 {k}^{2} = 28 \\ 7 {k}^{2} = 28 \\ {k}^{2} = 28 \div 7 \\ {k}^{2} = 4 \\ k = \sqrt{4} \\ k = 2 \\ x = 4 \times 2 = 8 \\ y = 3 \times 2 = 6[/tex]
