Di ketahui sistem permsamaan linear {¹/x + ²/y = 1

²/x – ⁸/y = 0
mempunyai penyelesaian (p,q).Nilai p² – q² =….

Di ketahui sistem permsamaan linear {¹/x + ²/y = 1

Penjelasan dengan langkah-langkah:

Eliminasi X

$frac{2}{x} + frac{4}{y} = 2 \ frac{2}{x} - frac{8}{y} = 0 \$

hasil eliminasi

$frac{-12}{y} = - 2 \ y = frac{-12}{ - 2} = 6$

substitusi nilai y ke persamaan pertama

$frac{1}{x} + frac{2}{y} = 1 \ frac{1}{x} + frac{2}{ 6} = 1 \ frac{1}{x} + frac{1}{3} = 1 \ frac{1}{x} = frac{2}{3} \ x = frac{3}{2}$

maka nilai

${x}^{2} y^{2} = ( frac{3}{2})^{2} times (6)^{2} \ = frac{9}{4} times 36 = 81$

Jawab:

2/x + 4/y = 2

2/x – 8/y = 0

——————— –

12/y = 2

1/y = 1/6 <=> y = 6

1/x + 2/y = 1

1/x + 2/6 = 1

1/x + 1/3 = 1

1/x = 2/3 <=> x = 3/2

(p,q) = (x,y) = (6, 3/2)

p^2*q^2 = 36 + 9/4 = 38,25