Matematika 4x+3y=53x+4y=-5tentukan × dan y ​

catalinalefflerulv – March 12, 2023

4x+3y=5
3x+4y=-5

tentukan × dan y ​

Penjelasan dengan langkah-langkah:

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[tex]\left\{\begin{aligned} \rm 4x + 3y & = \rm 5 \\ \rm 3x +4y & = \rm - 5\end{aligned} \right.[/tex]

[tex]\left\{\begin{aligned} \rm 4 \times (4x + 3y) & = \rm 5 \times 4\\ \rm - 3 \times (3x +4y )& = \rm - 5 \times 3\end{aligned} \right.[/tex]

[tex]\left\{\begin{aligned} \rm 16x + 12y & = \rm 20 \\ \rm - 9x - 12y = 15 \end{aligned} \right.[/tex]

→ Eliminasi kedua persamaan

16x + 12y - 9x - 12y = 20 + 15

→ Nilai x

7x = 35

x = 35 ÷ 7

x = 5

→ Nilai y

3x + 4y = - 5

3(5) + 5y = - 5

15 + 5y = - 5

5y = - 5 - 15

5y = - 25

y = - 25 ÷ 5

y = - 5

[tex]\:[/tex]

(x,y) = (5,-5)

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