Question 415675
multiply the first equation by 2 to get:


10x + 12y = 10


your 2 equations are now:


10x + 12y = 10
10x + 12y = 10


subtract second equation from first to get:


0 + 0 = 0


since the equation is true, and all variables have canceled out, the 2 equations are identities meaning that they are really the same equation.


if you graphed both these equations, they would show up as being the same line.


take 5x + 6y = 5 and solve for y to get y = -(5/6)x + (5/6)


take 10x + 12y = 10 and solve for y to get y = (10/12)x + (10/12)


simplify the second equation to get y = (5/6)x + (5/6)


same equation will graph as the same line.


the equations are identical.


just to s how you, i will graph the 2 equations of y = (5/6)x + (5/6) and y = (10/12)x + (10/12)


see below:


{{{graph(600,600,-10,10,-10,10,(5/6)x + (5/6),(10/12)x + (10/12))}}}


both equations are identical so the graph of both of these equations looks like the same line.