4x+5y=1
8x+10y-2
i did this
-2(4x+5y=1)
1(8x+10y=2)
------------------------
and everything canceled out
is this right and if it is is it infinitely many solutions
8x+10y-2
i did this
-2(4x+5y=1)
1(8x+10y=2)
------------------------
and everything canceled out
is this right and if it is is it infinitely many solutions
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You did right. Since everything cancelled, i.e., you were left with 0 = 0, there are infinitely many solutions.
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If you divide the second equation through by 2, you will see that it is identical to the first equation. Each point on their graphs is congruent, therefore an infinite number of solutions.