Question

solve x/a - y/b =0 , ax+by=a^2+b^2 by cross multiplication method​

Answer 1

Answer:

$\mathrm{Solve\:the\:system\:of\:equations}:\quad \frac{x}{a}-\frac{y}{b}=0,\:ax+by=a^2+b^2\quad :\quad \begin{pmatrix}x=a,\:&y=b\end{pmatrix}$

Step-by-step explanation:

$\begin{bmatrix}\frac{x}{a}-\frac{y}{b}=0\\ ax+by=a^2+b^2\end{bmatrix}$

$\mathrm{Plug\:the\:solutions\:}x=\frac{ya}{b}\mathrm{\:into\:}ax+by=a^2+b^2$

$\mathrm{Plug\:the\:solutions\:}y=b\mathrm{\:into\:}\frac{x}{a}-\frac{y}{b}=0$

$\mathrm{Therefore,\:the\:final\:solution\:for\:}\frac{x}{a}-\frac{y}{b}=0,\:ax+by=a^2+b^2\mathrm{\:is\:}$

$\begin{pmatrix}x=a,\:&y=b\end{pmatrix}$