3x + 4y=15x - 2y= -5Hitunglah SPLDV berikut dalam metode substitusi! ​

2x^2 - y^2 = 5
Differentiate:
4x - 2y dy/dx = 0
Add 2y dy/dx to each side:
4x = 2y dy/dx
Divide each side by 2y and simplify :
2x/y = dy/dx

Answered by AL2006 | 2024-06-10

Answer is in the attachment below. Open it up in a new window to see it in full.

Answered by Anonymous | 2024-06-10

Using implicit differentiation on the equation 2x² - y² = 5, we find that dy/dx = 2x/y. This involves differentiating both sides, rearranging, and isolating dy/dx. The final result provides the relationship of y to x in terms of their derivatives.
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Answered by AL2006 | 2025-06-12

Penyelesaian[tex]3x + 4y = 15 \quad (1)[/tex][tex]x - 2y = -5 \quad (2)[/tex][tex]x - 2y = -5[/tex][tex]x = -5 + 2y[/tex][tex]3x + 4y = 15[/tex][tex]3(-5 + 2y) + 4y = 15[/tex][tex]-15 + 6y + 4y = 15[/tex][tex]-15 + 10y = 15[/tex][tex]10y = 15 + 15[/tex][tex]10y = 30[/tex][tex]y = 3[/tex][tex]x = -5 + 2y[/tex][tex]= -5 + 2(3)[/tex][tex]= -5 + 6[/tex][tex]= 1[/tex][tex]x = 1, y = 3[/tex]

Answered by vinganzbeut | 2025-08-24