Posted by Erica on Sunday, March 10, 2013 at 2:11pm.
2 x + ( 1 / 2 ) y = 24 Multiply both sides by 10
20 x + ( 1 / 2 ) y * 10 = 24 * 10
20 x + 5 y = 240
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3 x + 5 y = 10
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20 x + 5 y = 240
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3 x - 20 x + 5 y - 5 y = 10 - 240
- 17 x = - 230 Divide both sides by - 17
- 17 x / - 17 = - 230 / - 17
x = 230 / 17
2 x + 1 / 2 y = 24
2 * 230 / 17 + ( 1 / 2 ) y = 24
460 / 17 + ( 1 / 2 ) y = 24 Subtract 460 / 17 to both sides
460 / 17 + ( 1 / 2 ) y - 460 / 17 = 24 - 460 / 17
( 1 / 2 ) y = 24 - 460 / 17
( 1 / 2 ) y = 24 * 17 / 17 - 460 / 17
( 1 / 2 ) y = 408 / 17 - 460 / 17
( 1 / 2 ) y = - 52 / 17 Multiply both sides by 2
y = - 104 / 17
Solutions :
x = 230 / 17 , y = - 104 / 17
using substitution:
multiply the 2nd by 2
4x + y = 48
y = 48-4x
sub into the 1st
3x + 5(48-4x) = 10
3x + 240 - 20x = 10
-17x = -230
x = 230/17
then y = 48-4(230/7) = -104/17
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