Question 381708
Find the intercepts to plot the lines.
Then look for the point of intersection, if there is one.
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To find the x-intercept, set {{{y=0}}} and solve for {{{x}}}.
{{{x-y=6}}}
{{{x-0=6}}}
{{{x=6}}}
({{{6}}},{{{0}}})
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To find the y-intercept, set {{{x=0}}} and solve for {{{y}}}.
{{{x-y=6}}}
{{{0-y=6}}}
{{{y=-6}}}
({{{0}}},{{{-6}}})
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{{{drawing(300,300, -2,12,-8,12, grid(1),circle(6,0,0.3),circle(0,-6,0.3),graph(300,300, -2,12,-8,12, 0,x-6))}}}
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To find the x-intercept, set {{{y=0}}} and solve for {{{x}}}.
{{{x+y=10}}}
{{{x+0=10}}}
{{{x=6}}}
({{{10}}},{{{0}}})
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.
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To find the y-intercept, set {{{x=0}}} and solve for {{{y}}}.
{{{x+y=10}}}
{{{0+y=10}}}
{{{y=10}}}
({{{0}}},{{{10}}})
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{{{drawing(300,300, -2,12,-8,12, grid(1), blue(circle(8,2,0.1)),blue(circle(8,2,0.25)),blue(circle(8,2,0.3)),blue(circle(8,2,0.2)),blue(circle(8,2,0.15)),circle(6,0,0.3),circle(0,-6,0.3), circle(10,0,0.3),circle(0,10,0.3),graph(300,300,-2,12,-8,12,0,x-6,-x+10))}}}