Diketahui sistem persamaan x−5y=−7 dan 3x+2y=−8, nilai 6x+4y adalah...

Pertanyaan

Diketahui sistem persamaan $x-5y=-7$ dan $3x+2y=-8$ , nilai $6x+4y$ adalah...

Y. Herlanda

Master Teacher

Mahasiswa/Alumni STKIP PGRI Jombang

Jawaban terverifikasi

Jawaban

nilai

Pembahasan

table attributes columnalign right center left columnspacing 0px end attributes row cell x minus 5 y end cell equals cell negative 7 space.... left parenthesis 1 right parenthesis end cell row x equals cell negative 7 plus 5 y end cell end table

Substitusikan x ke persamaan (2)

Substitusi y ke persamaan (1)

$table attributes columnalign right center left columnspacing 0px end attributes row x equals cell negative 7 plus 5 y end cell row blank equals cell negative 7 plus 5 open parentheses 13 over 17 close parentheses end cell row blank equals cell negative 7 plus 65 over 17 end cell row blank equals cell fraction numerator negative 119 plus 65 over denominator 17 end fraction end cell row blank equals cell fraction numerator negative 54 over denominator 17 end fraction end cell end table$

Diperoleh nilai x dan y $open parentheses fraction numerator negative 54 over denominator 17 end fraction comma 13 over 17 close parentheses$

$table attributes columnalign right center left columnspacing 0px end attributes row cell 6 x plus 4 y end cell equals cell 6 open parentheses fraction numerator negative 54 over denominator 17 end fraction close parentheses plus 4 open parentheses 13 over 17 close parentheses end cell row blank equals cell fraction numerator negative 324 over denominator 17 end fraction plus 52 over 17 end cell row blank equals cell fraction numerator negative 272 over denominator 17 end fraction end cell row blank equals cell negative 16 end cell end table$

Jadi, nilai 6 x plus 4 y equals negative 16 .