Solve the following equations.
1. $x - 2 = 7$
2. $y + 3 = 10$
3. $6 = z + 2$
4. $\tfrac{3}{7} + x = \tfrac{17}{7}$
5. $6x = 12$
6. $\frac{t}{5} = 10$
7. $\frac{2x}{3} = 18$
8. $1.6 = \frac{y}{15}$
9. $7x - 9 = 16$
10. $14y - 8 = 13$
11. $17 + 6p = 9$
12. $\frac{x}{3} + 1 = \tfrac{7}{15}$
1. $x - 2 = 7$
$x - 2 = 7$
=> $x = 7 + 2$
=> $x = 9$
2. $y + 3 = 10$
$y + 3 = 10$
=> $y = 10 - 3$
=> $y = 7$
3. $6 = z + 2$
$z + 2 = 6$
=> $z = 6 - 2$
=> $z = 4$
4. $\tfrac{3}{7} + x = \tfrac{17}{7}$
$x = \tfrac{17}{7} - \tfrac{3}{7}$
=> $x = \tfrac{14}{7}$
=> $x = 2$
5. $6x = 12$
$x = \frac{12}{6}$
=> $x = 2$
6. $\frac{t}{5} = 10$
$t = 10 \times 5$
=> $t = 50$
7. $\frac{2x}{3} = 18$
$2x = 18 \times 3$
=> $2x = 54$
=> $x = \frac{54}{2}$
=> $x = 27$
8. $1.6 = \frac{y}{15}$
$y = 1.6 \times 15$
=> $y = 24$
9. $7x - 9 = 16$
$7x = 16 + 9$
=> $7x = 25$
=> $x = \frac{25}{7}$
10. $14y - 8 = 13$
$14y = 13 + 8$
=> $14y = 21$
=> $y = \frac{21}{14}$
=> $y = \tfrac{3}{2}$
11. $17 + 6p = 9$
$6p = 9 - 17$
=> $6p = -8$
=> $p = \frac{-8}{6}$
=> $p = -\tfrac{4}{3}$
12. $\frac{x}{3} + 1 = \tfrac{7}{15}$
$\frac{x}{3} = \tfrac{7}{15} - 1$
=> $\frac{x}{3} = \frac{7-15}{15}$
=> $\frac{x}{3} = -\tfrac{8}{15}$
=> $x = -\tfrac{8}{15} \times 3$
=> $x = -\tfrac{8}{5}$
निम्नलिखित समीकरणों को हल करें।
1. $x - 2 = 7$
2. $y + 3 = 10$
3. $6 = z + 2$
4. $\tfrac{3}{7} + x = \tfrac{17}{7}$
5. $6x = 12$
6. $\frac{t}{5} = 10$
7. $\frac{2x}{3} = 18$
8. $1.6 = \frac{y}{15}$
9. $7x - 9 = 16$
10. $14y - 8 = 13$
11. $17 + 6p = 9$
12. $\frac{x}{3} + 1 = \tfrac{7}{15}$
1. $x - 2 = 7$
$x - 2 = 7$
=> $x = 7 + 2$
=> $x = 9$
2. $y + 3 = 10$
$y + 3 = 10$
=> $y = 10 - 3$
=> $y = 7$
3. $6 = z + 2$
$z + 2 = 6$
=> $z = 6 - 2$
=> $z = 4$
4. $\tfrac{3}{7} + x = \tfrac{17}{7}$
$x = \tfrac{17}{7} - \tfrac{3}{7}$
=> $x = \tfrac{14}{7}$
=> $x = 2$
5. $6x = 12$
$x = \frac{12}{6}$
=> $x = 2$
6. $\frac{t}{5} = 10$
$t = 10 \times 5$
=> $t = 50$
7. $\frac{2x}{3} = 18$
$2x = 18 \times 3$
=> $2x = 54$
=> $x = \frac{54}{2}$
=> $x = 27$
8. $1.6 = \frac{y}{15}$
$y = 1.6 \times 15$
=> $y = 24$
9. $7x - 9 = 16$
$7x = 16 + 9$
=> $7x = 25$
=> $x = \frac{25}{7}$
10. $14y - 8 = 13$
$14y = 13 + 8$
=> $14y = 21$
=> $y = \frac{21}{14}$
=> $y = \tfrac{3}{2}$
11. $17 + 6p = 9$
$6p = 9 - 17$
=> $6p = -8$
=> $p = \frac{-8}{6}$
=> $p = -\tfrac{4}{3}$
12. $\frac{x}{3} + 1 = \tfrac{7}{15}$
$\frac{x}{3} = \tfrac{7}{15} - 1$
=> $\frac{x}{3} = \frac{7-15}{15}$
=> $\frac{x}{3} = -\tfrac{8}{15}$
=> $x = -\tfrac{8}{15} \times 3$
=> $x = -\tfrac{8}{5}$