Question 109428

{{{6*x+5*y=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*x+5*(0)=60}}} Plug in {{{y=0}}}


{{{6*x=60}}} Simplify


{{{x=60/6}}} 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)


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{{{6*x+5*y=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*(0)+5*y=60}}} Plug in {{{x=0}}}


{{{5*y=60}}} Simplify


{{{x=60/5}}} 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)


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So we have these intercepts:

x-intercept: ({{{10}}},0)


y-intercept: (0,{{{12}}})