posted by CJ on .
Explain why the simultaneous equations y=1/2x+2 and 2y-x:4 have an infinite number of solutions. What is diffrent about these equations compared with the equations in the first question ( the equations were y=2x+3 and 5y-10x=5)? What is similar? ( include work to prove why and how it has an infinite number of solutions)
Your second equation must be
2y -x = 4 not 2y -x:4
By dividing both sides by 2 and rearranging, one can see that it is equivalent to the first equation.
They would plot on a graph as exactly the same line, and there are an infinite number of "point" solutions along that line.