$$9X2+Y2-54X-8Y+61=0$$
$X=\frac{9X_{2}-8Y+Y_{2}+61}{54}$
$$Y_{2}-54X-8Y+61=-9X_{2}$$
$$-54X-8Y+61=-9X_{2}-Y_{2}$$
$$-54X+61=-9X_{2}-Y_{2}+8Y$$
$$-54X=-9X_{2}-Y_{2}+8Y-61$$
$$-54X=-9X_{2}+8Y-Y_{2}-61$$
$$\frac{-54X}{-54}=\frac{-9X_{2}+8Y-Y_{2}-61}{-54}$$
$$X=\frac{-9X_{2}+8Y-Y_{2}-61}{-54}$$
$$X=\frac{X_{2}}{6}+\frac{Y_{2}}{54}-\frac{4Y}{27}+\frac{61}{54}$$
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$X_{2}=\frac{8Y}{9}-\frac{Y_{2}}{9}+6X-\frac{61}{9}$
$$9X_{2}-54X-8Y+61=-Y_{2}$$
$$9X_{2}-8Y+61=-Y_{2}+54X$$
$$9X_{2}+61=-Y_{2}+54X+8Y$$
$$9X_{2}=-Y_{2}+54X+8Y-61$$
$$9X_{2}=54X+8Y-Y_{2}-61$$
$$\frac{9X_{2}}{9}=\frac{54X+8Y-Y_{2}-61}{9}$$
$$X_{2}=\frac{54X+8Y-Y_{2}-61}{9}$$
$$X_{2}=\frac{8Y}{9}-\frac{Y_{2}}{9}+6X-\frac{61}{9}$$
