Question 106712


{{{-3*abs(y-3)=9}}} Start with the given equation



{{{abs(y-3)=-3}}} Divide both sides by -3




Since the expression {{{abs(y-3)=-3}}} is <font size=4><b>never</b></font> true (note: remember, the absolute value of any number is <font size=4><b>always positive</b></font>), there are no solutions to {{{abs(y-3)=-3}}}


Also, notice if we graph {{{y=-3*abs(x-3)}}} and {{{y=9}}}(just set each side equal to y and graph), we get:


{{{graph(500,500,-10,10,-10,10,-3*abs(x-3),9)}}} Graph of {{{y=-3*abs(x-3)}}} (red) and {{{y=9}}}(green)


and we can see that the two graphs <font size=4><b>never</b></font> intersect. So there are no solutions.