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

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