gracelinesther
gracelinesther gracelinesther
  • 12-05-2020
  • Mathematics
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If 2a-3=5 and 3b+1=2, then find 3b-2a

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markuse2324 markuse2324
  • 12-05-2020

Answer:

9

Step-by-step explanation:

Solve for a:

[tex]2a-3=5\\2a=8\\a=4\\[/tex]

Solve for b:

[tex]3b+1=2\\3b=\frac{1}{3} \\b=\frac{1}{3}[/tex]

Substitute:

[tex]a=4, b=\frac{1}{3} \\3b+2a\\3(\frac{1}{3} )+2(4)\\1+8\\9[/tex]

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