SOLUTION: find the x intercept and the y intercept for 2x+3y=6

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Question 594137: find the x intercept and the y intercept for 2x+3y=6
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%2B3y=6 Start with the given equation.


2x%2B3%280%29=6 Plug in y=0.


2x%2B0=6 Multiply 3 and 0 to get 0.


2x=6 Simplify.


x=%286%29%2F%282%29 Divide both sides by 2 to isolate x.


x=3 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%2B3y=6 Start with the given equation.


2%280%29%2B3y=6 Plug in x=0.


0%2B3y=6 Multiply 2 and 0 to get 0.


3y=6 Simplify.


y=%286%29%2F%283%29 Divide both sides by 3 to isolate y.


y=2 Reduce.


So the y-intercept is .