TOLONG BANTU BESOK DI KUMPUL ¹/₃x -¹/₂y = 1¹/₂ dan ¹/₂x + ¹/₄ y = -1¹/₄ nilai dari x² dan y² adalah

[tex] \frac{1}{3} x - \frac{1}{2} y = 1 \frac{1}{2} \\ \frac{1}{2} x + \frac{1}{4} y = - 1 \frac{1}{4} \\ pers \: satu \: kali \: 6 \\ pers \: kedua \: kali \: 4 \\ 2x - 3y = 9 \\ 2x + y = - 5 \\ kurangkan \\ - 4y = 14 \\ y = \frac{14}{ - 4} \\ y = - 3 \frac{2}{4} \\ substitusikan \: nilai \: y \\ \frac{1}{3} x - \frac{1}{2} y = 1 \frac{1}{2} \\ \frac{1}{3} x - \frac{1}{2} ( - \frac{14}{4} ) = \frac{3}{2} \\ \frac{1}{3} x = \frac{3}{2} - \frac{14}{8} \\ \frac{1}{3} x = \frac{12}{8} - \frac{14}{8} \\ \frac{1}{3} x = - \frac{12}{8} \\ x = - \frac{12}{8} (3) \\ x = - \frac{36}{8} \\ x = \frac{9}{2} \\ jadi \: {x}^{2} + {y}^{2} = ( { \frac{9}{2} })^{2} + ( - { \frac{ 14}{4} })^{2} \\ = \frac{81}{4} - \frac{196}{16} \\ = \frac{324}{16} - \frac{196}{16} \\ = \frac{128}{16} \\ = 8[/tex]