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SashulF [63]
3 years ago
8

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

Mathematics
1 answer:
Leni [432]3 years ago
5 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\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 .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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