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
