SOLUTION: 2x+5y=10 Find the x and y-intercepts.

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Question 155615: 2x+5y=10 Find the x and y-intercepts.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x-intercept


To find the x-intercept, plug in y=0 and solve for x


2x%2B5y=10 Start with the given equation.


2x%2B5%280%29=10 Plug in y=0.


2x%2B0=10 Multiply 5 and 0 to get 0.


2x=10 Simplify.


x=%2810%29%2F%282%29 Divide both sides by 2 to isolate x.


x=5 Reduce.


So the x-intercept is .


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y-intercept


To find the y-intercept, plug in x=0 and solve for y


2x%2B5y=10 Start with the given equation.


2%280%29%2B5y=10 Plug in x=0.


0%2B5y=10 Multiply 2 and 0 to get 0.


5y=10 Simplify.


y=%2810%29%2F%285%29 Divide both sides by 5 to isolate y.


y=2 Reduce.


So the y-intercept is .


Notice that if we graph the equation 2x%2B5y=10, we can see that the graph has the x-intercept and the y-intercept . So this verifies our answer.



Graph of 2x%2B5y=10