EXO-Math2x + 5y = 303x - 2y = 6Maka x + 1/y = ...?

EXO-Math2x + 5y = 303x – 2y = 6Maka x + 1/y = …?

Menggunakan

$begin {array} {c|c|c} sf {2x + 5y = 30} & sf { times 3} & sf6x + 15y = 90\\ sf {3x - 2y = 6} & sf { times 2}& sf 6x - 4y = 12 end{array}$

sehingga

$sf6x + 15y = 90 : : : : : : : : \ underline{ sf6x - 4y = : 12 : } : : - \ sf19y = : 78$

$sf y = dfrac{78}{19}$

Sehingga

3x – 2y = 6

$sf x - frac{2}{3} y = 2$

$sf x = 2+ frac{2}{3} y$

$sf x = 2 + frac{2}{3} times frac{78}{19}$

$sf x = 2 + frac{2}{ cancel3} times frac{ cancel{78}}{19}$

$sf x = frac{38}{19} + frac{52}{19}$

$sf x = frac{90}{19}$

maka

$sf x + frac{1}{y}$

$sf frac{90}{19} + frac{1}{ frac{78}{19} }$

$sf frac{90}{19} + frac{19}{78}$

$sf frac{7020 + 361}{1482}$

$sf frac{7381}{1482}$