Question

4. Solve each of the following linear equations:
(a) 1/3(x + 7) = 1+1/5 (3x - 2)​

Answer 1

$\frac{1}{3} (x + 7) = 1 + \frac{1}{5} (3x - 2) \\ \frac{(x + 7)}{3} = 1 + \frac{(3x - 2)}{5} \\ \frac{(x + 7)}{3} = \frac{5 + 3x - 2}{5} \\ ( \frac{x + 7)}{3} = \frac{3x + 3}{5} \\ 5x + 35 = 9x + 9 \\ 35 - 9 = 9x - 5x \\ 26 = 4x \\ x = \frac{26}{4} \\ x = \frac{13}{2}$

Answer 2

Answer:

x=19

Step-by-step explanation:

x/3 + 7/3 = 2/5 (3x - 2)

7+x/3 = 6x/5 - 4/5

7 + x/3 = 6x - 4/5

7+5x=6x-12

5x = 6x - 12-7

5x = 6x-19

5x - 6x = -19

-x = -19

x=19