Posted by **Emma** on Sunday, January 6, 2013 at 9:57pm.

Use substitution method to solve the linear system.

Can someone please check if I did this problem right? Thanks

X+y=12

X+3/2y=3/2

Y=21

x=-9

- Algebra -
**Reiny**, Sunday, January 6, 2013 at 11:11pm
To check, all you have to do is to see if your solution satisfies both equations.

Your solution satisfies the first, but not the second, so there is an erro

from the first: y = 12-x

first I would multiply the second by 2 to get rid of fractions

2x + 3y = 3

now sub in the first

2x + 3(12-x) = 3

2x + 36 - 3x = 3

-x = -33

x = 33

then y = 12-33 = -21

**x = 33 , y = -21**

check:

in first:

LS = x+y = 33-21 = 12 = RS

the 2nd:

LS = x + (3/2)y = 33 + (3/2)(-21)

= 33 - 31.5 = 1.5 = 3/2 = RS

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