anonymous
  • anonymous
solve by substitution. x/3 + y/2 = 4 x/2 - y = -1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
please help guys ! =(
dumbcow
  • dumbcow
First get y by itself in bottom equation -> y = 1+x/2 Then replace this for y in top equation ->x/3 + (1+x/2)/2 = 4 solve for x by combining fractions using common denominators...
anonymous
  • anonymous
and can you help me with the combining fractions part?

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dumbcow
  • dumbcow
1+x/2 needs denominator of 2 -> 2/2 + x/2 = (x+2)/2
dumbcow
  • dumbcow
(x+2)/2 * 1/2 = (x+2)/4 with me?
anonymous
  • anonymous
yes, now what?
dumbcow
  • dumbcow
Then x/3 + (x+2)/4 = 4 to add these we need denominator of 12 ->(x/3)*(4/4) + (x+2)/4*(3/3) = 4x/12 + 3(x+2)/12 = (4x + 3x + 6)/12
dumbcow
  • dumbcow
(7x+6)/12 = 4 multiply by 12 on both sides ->7x + 6 = 48 x = 6
dumbcow
  • dumbcow
did you follow that?
anonymous
  • anonymous
yes thank you so much. now how do i figure out y?
dumbcow
  • dumbcow
plug in 6 for x into that equation above remember whn we solved for y initially ->y = 1+x/2 replace x with 6 ->y = 1+(6/2) = 1+3=4

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