Question 178399
{{{2x+y=5}}} Start with the first equation.



{{{4x+2y=10}}} Multiply EVERY term by 2



{{{4x+highlight(10-4x)=10}}} Plug in {{{2y=10-4x}}}



{{{0x+10=10}}} Combine like terms on the left side.



{{{0x=10-10}}} Subtract {{{10}}} from both sides.



{{{0x=0}}} Combine like terms on the right side.



{{{0=0}}} Simplify.



Since this equation is <font size=4><b>ALWAYS</b></font> true for any x value, this means x can equal any number. 



So there are an infinite number of solutions.



This means that the system is dependent.