Question 349381
1.{{{xy=56}}}
2.{{{y-x=1}}}
From eq. 1,
y=56/x
Substitute into eq. 2,
{{{56/x-x=1}}}
{{{56-x^2=x}}}
{{{x^2+x-56=0}}}
{{{(x+8)(x-7)=0}}}
Two solutions:
{{{x+8=0}}}
{{{x=-8}}}
{{{y=56/(-8)}}}
{{{y=-7}}}
(-8,-7)
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{{{x-7=0}}}
{{{x=7}}}
{{{y=56/7}}}
{{{y=8}}}
(7,8)
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Graphical verification of the solutions:
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{{{drawing(300,300,-12,12,-12,12,circle(-8,-7,0.3),circle(7,8,0.3),grid(1),graph(300,300,-12,12,-12,12,56/x,x+1))}}}