Question 173317
{{{4x+2y+5y=20}}} Start with the given equation



{{{4x+7y=20}}} Combine like terms.



Now let's find the intercepts



<h4>x-intercept</h4>

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



{{{4x+7y=20}}} Start with the given equation.



{{{4x+7(0)=20}}} Plug in {{{y=0}}}.



{{{4x+0=20}}} Multiply {{{7}}} and 0 to get 0.



{{{4x=20}}} Simplify.



{{{x=(20)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x}}}.



{{{x=5}}} Reduce.



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



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<h4>y-intercept</h4>

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



{{{4x+7y=20}}} Start with the given equation.



{{{4(0)+7y=20}}} Plug in {{{x=0}}}.



{{{0+7y=20}}} Multiply {{{4}}} and 0 to get 0.



{{{7y=20}}} Simplify.



{{{y=(20)/(7)}}} Divide both sides by {{{7}}} to isolate {{{y}}}.



So the y-intercept is *[Tex \LARGE \left(0,\frac{20}{7}\right)].