Albert says these two systems are similar

#1

8x+9y=48 12x+5y=21

#2

8x+9y=48. - 8.5y=-51

Are they similar?

we solve the second system: (itis more easy).

8x+9y=48

-8.5y=-51 ⇒y=-51/-8.5=6

8x+9 (6) = 48

8x+54=48

8x+54-54=48-54

8x=-6

x=-6/8=-3/4

Then; in te second system the solution is : x=-3/4; y = 6

Now, we replace "x" by "-3/4" and "y" by "6", in the first systmen.

8x+9y=48

8 (-3/4) + 9 (6) = - 6+54=48. verified

12x+5y=21

12 (-3/4) + 5 (6) = - 9+30=21 verified

Therefore,

These two wystems are similar.