Question 147333
{{{4y-9x=-8}}} Start with the second equation.



{{{-9x+4y=-8}}} Rearrange the terms.



So we have the system of equations:



{{{system(9x-4y=8,-9x+4y=-8)}}}


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



{{{(9x-4y)+(-9x+4y)=(8)+(-8)}}}



{{{(9x+-9x)+(-4y+4y)=8+-8}}} Group like terms.



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