SOLUTION: List any coordinates of y intercepts and coordinates of any x intercepts for 10x +3y=60

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Question 1094375: List any coordinates of y intercepts and coordinates of any x intercepts for 10x +3y=60
Found 3 solutions by ikleyn, greenestamps, josgarithmetic:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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The word "any" is INAPPLICABLE in this situation.


Learn on how to formulate math problems correctly.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

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.

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.

And now to the math itself....

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.

For your example, to find the x intercept, set y=0 and solve:
10x+%2B+3%280%29+=+60
10x+=+60
x+=+6
The x intercept is 6, or (6,0).

To find the y intercept, set x=0 and solve:
10%280%29%2B3y+=+60
3y+=+60
y+=+20
The x intercept is 20, or (0,20).

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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List any coordinates of y intercepts and coordinates of any x intercepts for 10x +3y=60
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let x = 0.
3y%2B10%2A0=60
3y=60
y=20

let y = 0.
10x%2B3%2A0=60
10x=60
x=6

The two axis intercepts are (0,20) and (6,0).