Question

solve each equation

1. $10 = x + 6$
2. $8y = 48$
3. $q - 12 = 1$
4. $18 = \frac{a}{3}$
5. $\frac{t}{3} = 7$
6. $11 = m - 4$
7. $t - 19 = 2$
8. $1 + s = 3$
9. $24 = 4c$
10. $\frac{y}{5} = 9$

Explanation:

Step1: Isolate $z$ by subtracting 6

$10 - 6 = z + 6 - 6$
$z = 4$

Step2: Isolate $y$ by dividing by 8

$\frac{8y}{8} = \frac{48}{8}$
$y = 6$

Step3: Isolate $q$ by adding 12

$q - 12 + 12 = 1 + 12$
$q = 13$

Step4: Isolate $a$ by multiplying by 2

$18 \times 2 = \frac{a}{2} \times 2$
$a = 36$

Step5: Isolate $t$ by multiplying by 3

$\frac{t}{3} \times 3 = 7 \times 3$
$t = 21$

Step6: Isolate $m$ by adding 4

$11 + 4 = m - 4 + 4$
$m = 15$

Step7: Isolate $t$ by adding 19

$t - 19 + 19 = 2 + 19$
$t = 21$

Step8: Isolate $x$ by subtracting 1

$1 + x - 1 = 3 - 1$
$x = 2$

Step9: Isolate $c$ by dividing by 4

$\frac{24}{4} = \frac{4c}{4}$
$c = 6$

Step10: Isolate $v$ by multiplying by 5

$\frac{v}{5} \times 5 = 9 \times 5$
$v = 45$

Answer:

1. $z=4$
2. $y=6$
3. $q=13$
4. $a=36$
5. $t=21$
6. $m=15$
7. $t=21$
8. $x=2$
9. $c=6$
10. $v=45$