Posted by m on .
addition method:3x5y=2 and 5y2x=2
how would I solve it since they are not together?

algebra 
MathMate,
These simultaneous equations can be solved most of the time by either substitution or by elimination. We will try elimination here, since I see 5y in both equations.
3x5y=2....(1)
5y2x=2....(2)
Rearrange to line up x and y in columns
3x5y=2...(1a)
2x+5y=2...(2a)
Add the two equations:
3x2x 5y+5y = 2 2
simplify to get
x = 4 ... (3)
Substitute (3) into (1) to get
3(4)5y=2
5y = 2 + 12
5y = 10
y = 10 / (5) = 2 ..(4)
(3) and (4) give the final answer, but we still have one more step to do: check!
Substitute (3) and (4) into (1) and (2) to get
3(4)5(2)
=12+10
=2 from (1) OK
5(2)2(4)
=10+8
=2 from (2) OK