SOLUTION: 6x+5y=60 what is the x intercept, what is the y intercept

Algebra ->  Linear-equations -> SOLUTION: 6x+5y=60 what is the x intercept, what is the y intercept      Log On


   

Question 109428: 6x+5y=60
what is the x intercept, what is the y intercept
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

6%2Ax%2B5%2Ay=60 Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
6%2Ax%2B5%2A%280%29=60 Plug in y=0

6%2Ax=60 Simplify

x=60%2F6 Divide both sides by 6


x=10 Reduce



So the x-intercept is (10,0) (note: the x-intercept will always have a y-coordinate equal to zero)

------------------

6%2Ax%2B5%2Ay=60 Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
6%2A%280%29%2B5%2Ay=60 Plug in x=0

5%2Ay=60 Simplify

x=60%2F5 Divide both sides by 5



y=12 Reduce



So the y-intercept is (0,12) (note: the y-intercept will always have a x-coordinate equal to zero)

------------------------------------------

So we have these intercepts:
x-intercept: (10,0)

y-intercept: (0,12)