bbb911
  • bbb911
2/3y -5/4y +8= -11/12y-4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
are we solving for y?
bbb911
  • bbb911
yes solving equations
anonymous
  • anonymous
\[\frac{ 2 }{ 3 }y - \frac{ 5 }{ 4 }y +8 = -\frac{ 11 }{ 12}y - 4\] is this the equation?

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bbb911
  • bbb911
yes
anonymous
  • anonymous
okay so the first thing we want to do is get all those fractions to have the same least common denominator, which is 12 so now we get: \[\frac{ 8 }{12 }y - \frac{ 15 }{ 12 }y + 8 = -\frac{ 11 }{ 12}y - 4\]
bbb911
  • bbb911
oky
anonymous
  • anonymous
lets get all the y's on one side and subtract/add the coefficients
anonymous
  • anonymous
\[\frac{ 4 }{ 12 }y + 8 = -4\]
anonymous
  • anonymous
subtract both sides by 8 \[\frac{ 4 }{12 }y = -12\]
anonymous
  • anonymous
4/12 is actually 1/3 so \[\frac{ 1 }{ 3 }y = -12\]
bbb911
  • bbb911
what i have is 4/12 y + -3/12y + 11/12 -12
anonymous
  • anonymous
you changed your fractions wrong
bbb911
  • bbb911
oh ok one sec
anonymous
  • anonymous
2/3 ---> 8/12 5/4 ----> 15/12
anonymous
  • anonymous
y = -36
bbb911
  • bbb911
to get 8/12 did you multipy the 4 to 2/3?
anonymous
  • anonymous
yes, we want that 3 to become a 12, but we have to multiply the top by 4 also so 2*4 = 8 and 3*4 = 12.... so we get 8/12
bbb911
  • bbb911
okay what do i do with the + 8
anonymous
  • anonymous
just move it to the other side by subtracting 8 from both sides. look at my steps above, i already solved the entire problem
bbb911
  • bbb911
and do i subract 8 from -11/12
anonymous
  • anonymous
no, -11/12 is a coefficient of y, so you can only subtract it from -4

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