For this case we have the following linear equation:
[tex]3x + 10y = 36
[/tex]
The intersection with the x axis occurs when the value of y is equal to zero.
We then have to replace y = 0 in the equation:
[tex]3x + 10 (0) = 36
[/tex]
Rewriting:
[tex]3x + 0 = 36
3x = 36[/tex]
Clearing x we have:
[tex]x = 36/3
x = 12[/tex]
Answer:
The x-intercept of the equation whose line is 3x + 10y = 36 is:
x = 12