Reduce the equations of the following planes in the intercept form and find its intercepts on the coordinate axes:

Question

Reduce the equations of the following planes in the intercept form and find its intercepts on the coordinate axes: 2x – y + z = 5

Philoid · Accepted Answer

given equation is 2x – y + z = 5

Now let us divide both sides by 5

We get,

We know that, the equation of the plane whose intercepts on the coordinate axes a, b, c is given by the equation

So by comparing

So the intercepts are.