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39 votes
39 votes
Solve each euqation.
1.) 6w-33=3(4w-5)
2.) 6(x+5)-3x
3.) q+1/2=q-1/3

User Darshanie
by
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2 Answers

7 votes
7 votes

#1


\\ \sf\bull\longmapsto 6w-33=3(4w-5)


\\ \sf\bull\longmapsto 6w-33=12w-15


\\ \sf\bull\longmapsto 6w-12w=-15+33


\\ \sf\bull\longmapsto -6w=18


\\ \sf\bull\longmapsto w=-3

#2


\\ \sf\bull\longmapsto 6(x+5)=3x


\\ \sf\bull\longmapsto 6x+30=3x


\\ \sf\bull\longmapsto 3x=30


\\ \sf\bull\longmapsto x=10

#3


\\ \sf\bull\longmapsto q+(1)/(2)=q-(1)/(3)

It has no solutions


\\ \sf\bull\longmapsto q=\infty

User Flavio Ferrara
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3.0k points
10 votes
10 votes

Answer:

1)

  • 6w -33 = 3(4w - 5)
  • 6w - 33 = 12w - 15
  • 12w - 6w = 15 - 33
  • 6w = -18
  • w = -18/6
  • w = -3

2)

  • 6(x + 5) = 3x
  • 6x + 30 = 3x
  • 6x - 3x = -30
  • 3x = -30
  • x = -30/3
  • x = -10

3)

  • (q + 1)/2 = (q - 1)/3
  • 3(q + 1) = 2(q - 1)
  • 3q + 3 = 2q - 2
  • 3q - 2q = -2 - 3
  • q = -5
User Milean
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3.1k points