Question

What is the solution to the equation 1/2 x + 3 = 2/3 x + 1​

Answer 1

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

$\frac{1}{2} x + 3 = \frac{2}{3} x + 1$

Subtract sides 3

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

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

Multiply sides by 6

$6 \times \frac{1}{2} x = 6 \times \frac{2}{3} x + 6 \times ( - 2)$

$3x = 4x - 12$

Subtract sides 4x

$- 4x + 3x = - 4x + 4x - 12$

$- x = - 12$

Negatives simplifies

$x = 12$

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

CHECK :

$\frac{1}{2} (12) + 3 = \frac{2}{3} (12) + 1$

$6 + 3 = 8 + 1$

$9 = 9$

Thus the solution is correct .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️