Question

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

Answer 1

• 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

$\bold{x=12}$

Answer 2

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