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Liono4ka [1.6K]
3 years ago
15

What is the soution to the equation 1/2 x + 3 = 2/3 x + 1 a.1/3 b.2/3 c.2 d.12

Mathematics
2 answers:
mihalych1998 [28]3 years ago
5 0
  • Answer:

\boxed{\bold{x=12}}

  • Step-by-step explanation:

  • Subtract 3 from both sides

\bold{\frac{1}{2}x+3-3=\frac{2}{3}x+1-3}

  • Simplify

\bold{\frac{1}{2}x=\frac{2}{3}x-2}

  • Subtract \bold{\frac{2}{3}x } from both sides

\bold{\frac{1}{2}x-\frac{2}{3}x=\frac{2}{3}x-2-\frac{2}{3}x}

  • Simplify

\bold{-\frac{1}{6}x=-2}

  • Multiply both sides by -6

\bold{\left(-\frac{1}{6}x\right)\left(-6\right)=\left(-2\right)\left(-6\right)}

  • Simplify

\bold{x=12}

sleet_krkn [62]3 years ago
4 0

Answer:

d

Step-by-step explanation:

To eliminate the fractions in the equation multiply all term on both sides by the lowest common multiple of 2 and 3, that is 6

3x + 18 = 4x + 6 ← equation with no fractions

Subtract 4x from both sides

- x + 18 = 6 ( subtract 18 from both sides )

- x = - 12 ( multiply both sides by - 1 )

x = 12 → d

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