SOLUTION: 4x+2y+5y=20 find the intercepts

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Question 173317This question is from textbook Saxon Algebra 2
: 4x+2y+5y=20
find the intercepts This question is from textbook Saxon Algebra 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4x%2B2y%2B5y=20 Start with the given equation


4x%2B7y=20 Combine like terms.


Now let's find the intercepts


x-intercept


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


4x%2B7y=20 Start with the given equation.


4x%2B7%280%29=20 Plug in y=0.


4x%2B0=20 Multiply 7 and 0 to get 0.


4x=20 Simplify.


x=%2820%29%2F%284%29 Divide both sides by 4 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


4x%2B7y=20 Start with the given equation.


4%280%29%2B7y=20 Plug in x=0.


0%2B7y=20 Multiply 4 and 0 to get 0.


7y=20 Simplify.


y=%2820%29%2F%287%29 Divide both sides by 7 to isolate y.


So the y-intercept is .