Question

QUIZ (1392)
Materi: SPLDV

Tentukan penyelesaian dari :
[tex] \begin{aligned} 2x+7y&=670 \\ 7x+19y&=1839 \end{aligned} [/tex]​

Answer 1

Jawaban:

Hp = {13,92}

Penjelasan dengan langkah-langkah:

2x + 7y = 670 |7| 14x + 49y = 4.690

7x + 19y = 1.839 |2| 14x + 38y = 3.678

_______________-

11y = 1.012

y = 1.012/11

= 92

2x + 7y = 670

2x + 7(92) = 670

2x + 644 = 670

2x = 670 - 644

2x = 26

x = 26/2

= 13

Hp = {13,92}

Answer 2

Verified answer

Sistem Persamaan Linear Dua Variabel

[Metode Campuran]

..

[tex]\begin{cases} 2x + 7y = 670 \\ 7x + 19y = 1839 \end{cases}[/tex]

Eliminasi x

[tex]\begin{aligned} 2x +~~ 7y = 670~~~|\times 7| ~~\cancel{\red{14x}} + 49y &= 4690 \\ 7x + 19y = 1839~|\times 2| ~~\cancel{\red{14x}} + 38y &= 3678~~- \\ \hline 11y &= 1012 \\y &= 92 \end{aligned}[/tex]

Subtitusi y

[tex]\begin{aligned} 2x + 7y &= 670 \\ 2x + 7(92) &= 670 \\ 2x + 644 &= 670 \\ 2x & = 670 - 644 \\ 2x &= 26 \\ x &= 13 \end{aligned}[/tex]

[tex]\rm{HP \left \{ x, y\right \}} = \left \{ 13, 92 \right \}[/tex]

[tex]\begin{array}{lr}\texttt{Selamat Hari Pemadam Kebakaran Internasional}\end{array}[/tex]

[tex]\boxed{\colorbox{ccddff}{Answered by Danial Alf'at | 04 - 05 - 2023}}[/tex]