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SMK Teknologi dan Rekayasa

Soal 31 Sistem Persamaan Linear Dua Variabel


Dari\ sistem\ persamaan
\left\{\begin{matrix} 3x+5y=4\\ x-3y=6 \end{matrix}\right.
nilai\ dari\ \ 2x+3y\ \ adalah\ ....
a.\ \ 1\ \ \ \ \ \ \ \ \ \ \ \ b.\ 2\ \ \ \ \ \ \ \ \ \ \ \ c.\ 3\ \ \ \ \ \ \ \ \ \ \ \ d.\ 4\ \ \ \ \ \ \ \ \ \ \ \ e.\ 5
Jawaban: c
\left.\begin{matrix} 3x+5y=4\ \\ x-3y=6\ \end{matrix}\right|\begin{matrix} \ \times 3\\ \ \times 5 \end{matrix}
\frac{\begin{matrix} 9x+15y=12\\ 5x-15y=30 \end{matrix}}{}\ +\\14x\ \ \ \ \ \ \ =42\\ \ \ x\ \ \ \ \ \ \ \ \ \ =3

\begin{array}{rcl}3(3)+5y&=&4\\9+5y&=&4\\5y&=&-5\\y&=&-1\end{array}

2x+3y=2(3)+3(-1)=6-3=3

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