Question 147251
{{{5y-9x=35}}} Start with the second equation.



{{{-9x+5y=35}}} Rearrange the terms.




So we have the given system of equations:


{{{system(9x-5y=-35,-9x+5y=35)}}}



Add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:



{{{(9x-5y)+(-9x+5y)=(-35)+(35)}}}



{{{(9x+-9x)+(-5y+5y)=-35+35}}} Group like terms.



{{{0x+0y=0}}} Combine like terms. Notice how the x terms cancel out.



{{{0=0}}}Simplify.



Since {{{0=0}}} is <font size="4"><b>always</b></font> true, this means that there are an infinite number of solutions. So the system is consistent and dependent.