Pertanyaan

Jika maka nilai dari x + y = ....

M. Robo

Master Teacher

Jawaban terverifikasi

Pembahasan

Dari kesamaan matriks di atas, diperoleh Subtitusikan persamaan (1) ke persamaan (2) sehingga Maka

Dari kesamaan matriks di atas, diperoleh

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 straight x plus 2 end cell equals straight a row cell 2 straight x end cell equals cell straight a minus 2 end cell row blank blank cell straight a minus 2 end cell row straight x equals cell fraction numerator straight a minus 2 over denominator 2 end fraction horizontal ellipsis open parentheses 1 close parentheses end cell row blank blank blank row cell ax plus straight a plus 2 straight y minus 2 end cell equals cell negative 2 end cell row cell ax plus straight a plus 2 straight y end cell equals 0 row cell ax plus straight a end cell equals cell negative 2 straight y horizontal ellipsis left parenthesis 2 right parenthesis space end cell row blank blank blank end table end style$

Subtitusikan persamaan (1) ke persamaan (2) sehingga

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight a open parentheses fraction numerator straight a minus 2 over denominator 2 end fraction close parentheses plus straight a end cell equals cell negative 2 straight y end cell row cell fraction numerator straight a squared minus 2 straight a over denominator 2 end fraction plus straight a end cell equals cell negative 2 straight y end cell row cell straight a squared minus 2 straight a plus 2 straight a end cell equals cell negative 4 straight y end cell row cell straight a squared end cell equals cell negative 4 straight y end cell row straight y equals cell negative straight a squared over 4 end cell end table end style$

Maka

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight x plus straight y end cell equals cell fraction numerator straight a minus 2 over denominator 2 end fraction plus open parentheses negative straight a squared over 4 close parentheses end cell row blank equals cell fraction numerator 2 straight a minus 4 minus straight a squared over denominator 4 end fraction end cell row blank equals cell negative 1 fourth open parentheses straight a squared minus 2 straight a plus 4 close parentheses end cell end table end style$