Question 307415


<h4>x-intercept</h4>

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



{{{5x=15+3y}}} Start with the given equation.



{{{5x=15+3(0)}}} Plug in {{{y=0}}}.



{{{5x=15+0}}} Multiply {{{3}}} and 0 to get 0.



{{{5x=15}}} Simplify.



{{{x=(15)/(5)}}} Divide both sides by {{{5}}} to isolate {{{x}}}.



{{{x=3}}} Reduce.



So the x-intercept is *[Tex \LARGE \left(3,0\right)].



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<h4>y-intercept</h4>

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



{{{5x=15+3y}}} Start with the given equation.



{{{5(0)=15+3y}}} Plug in {{{x=0}}}.



{{{0=15+3y}}} Multiply {{{5}}} and 0 to get 0.



{{{0=15+3y}}} Simplify.



{{{-3y=15}}} Subtract 3y from both sides.



{{{y=(15)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{y}}}.



{{{y=-5}}} Reduce.



So the y-intercept is *[Tex \LARGE \left(0,-5\right)].