Question 1094375
<br>First a note to tutor ikleyn.  You have stated many times that English is not your first language; and often the awkward language you use in your responses shows it.  You are not in a good position to criticize the language used in the questions students post.<br>
To the person who posted the question: Since this is a linear equation, containing both x and y variables, there will be exactly one x intercept and one y intercept.  However, grammatically it is still valid to ask for the coordinates of "any" intercepts.<br>
And now to the math itself....<br>
By definition, an x intercept is where the y value is 0; a y intercept is where the x value is 0.  So in any equation (linear or not) where you are looking for x intercepts, set y=0 in the equation; and where you are looking for y intercepts, set x=0 in the equation.<br>
For your example, to find the x intercept, set y=0 and solve:
{{{10x + 3(0) = 60}}}
{{{10x = 60}}}
{{{x = 6}}}
The x intercept is 6, or (6,0).<br>
To find the y intercept, set x=0 and solve:
{{{10(0)+3y = 60}}}
{{{3y = 60}}}
{{{y = 20}}}
The x intercept is 20, or (0,20).