Question

no 29 kk please bsk di kumpul

Answer 1

Jawaban

• Metode Subtitusi

[tex]2x + 4y = 8 \: dan \: 5x + 2y = 12[/tex]

[tex]2x + 4y = 8[/tex]

[tex]2x = 8 - 4y [/tex]

[tex]x = 4 - 2y[/tex]

[tex]5x + 2y = 12[/tex]

[tex]5(4 - 2y) + 2y = 12[/tex]

[tex] 20 - 10y + 2y = 12[/tex]

[tex]20 - 8y = 12[/tex]

[tex] - 8y = 12 - 20[/tex]

[tex] - 8y = - 8[/tex]

[tex]y = 1[/tex]

[tex]5x + 2y = 12[/tex]

[tex]5x +2(1) = 12[/tex]

[tex]5x + 2 = 12[/tex]

[tex]5x = 12 - 2[/tex]

[tex]5x = 10[/tex]

[tex]x =2[/tex]

• Check

[tex]2x + 4y = 8[/tex]

[tex]2(2) + 4(1) = 8[/tex]

[tex]4 + 4 = 8[/tex] ✔

Jadi himpunan penyelesaian = {x, y} = {2, 1} Opsi C.