<p>The plane 2x + 3y - 4z = 5 intersects the x-axis at (a,0,0), the y-axis at (0,b,0), and the z-axis at (0,0,c). The value of a + b + c is: 35/12</p>
<p>I've never done this type of problem, so can someone please explain to me how to do it?</p>
<p>(a,0,0)satisfies the eqn.Plug in.Get the value of a.Similarly for b,c.Plug in the different points into the eqn of the plane.
Tada!</p>
<p>^Yes, perfectpixie is right. </p>
<p>For each of x, y, and z, you must substitute the other 2 coordinates into the equation and isolate. For example: to find out “a”, you need to sub in 0 for y and 0 for z, giving you 2x=5, x=5/2. For “b”, you get 3y=5, y=5/3. You do the same thing for c. Add the 3 values of a, b, and c up and you will get a fraction of 35/12.</p>
<p>Which equation is this?</p>
<p>^ What “equation” are you referring to? For this problem, you are essentially setting y,z equal to zero to find where the plane intersects the x-axis, etc.</p>