Question

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Answer 1

Answer:

(1) 4x - 9 = 2x + 7

4x - 2x = 7 + 9

2x = 16

x = 16 ÷ 2

x = 8

(2) 5y + 18 = 11 - 2y

5y + 2y = 11 - 18

7y = 7

x = 7 ÷ (- 7)

x = - 1

(3) 21 - 3 (x - 7) = x + 20

21 - 3x + 21 = x + 20

- 3x + 21 + 21 = x + 20

- 3x + 42 = x + 20

- 3x - x = 20 - 42

- 4x = - 22

x = - 22 ÷ (- 4)

x = 5.5

(4) 3 (y - 7) - 2 (3y - 4) = (2 - 5y)

3y - 21 - 6y + 8 = 2 - 5y

3y - 6y - 21 + 8 = 2 - 5y

- 3y - 13 = 2 - 5y

- 3y + 5y = 2 + 13

2y = 15

x = 15 ÷ 2

x = 7.5

(5) 3 (t - 5) - 16t = 12 - 2 (t - 3)

3t - 15 - 16t = 12 - 2t + 6

3t - 16t - 15 = 12 + 6 - 2t

- 13t - 15 = 18 - 2t

- 13t + 2t = 18 + 15

- 11t = 33

t = 33 ÷ (- 11)

t = - 3

(6) $\frac{3x}{4} - \frac{(x-4)}{3} = \frac{5}{3}$

$\frac{9x}{12} - \frac{4(x-4)}{12} = \frac{5}{3}$

$\frac{9x}{12} - \frac{4x+16}{12} = \frac{5}{3}$

$\frac{9x-4x+16}{12} = \frac{5}{3}$

$9x - 4x+16=\frac{5}{3}$ × $12$

$5x + 16 = 20$

$5x = 20-16$

$5x = 4$

$x = \frac{4}{5}$

$x=0.8$

Hope it helps