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Posted by **Amy L** on Tuesday, March 15, 2011 at 6:06pm.

2x-3y=5

5x+2y=6

- Algebra -
**bobpursley**, Tuesday, March 15, 2011 at 6:11pmTwo simple multiplications, and you can do it in your head.

multiply top equation by 2

4x-6y=10

multiply the bottom equation by 3

15x+6y=18

add 19x=38

x=2

- Algebra -
**Amy L**, Tuesday, March 15, 2011 at 7:03pmThank you this does help. But why is the addition method preferred over the substitution method for solving the system

2x-3y=5

5x+2y=6

I got how you got the 19x=38 but whatis the x=2(sorry not good with algebra)

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