Question

1.)
$\frac{z}{ - 5} + 1 = 4$
2.) 3 (p+2) = 6p - 15
3.)
$\frac{h - 7}{2} = 3(h + 8)$
4.) 4t + 2 - 5 = 3(t + 7) - 9
5.) 2(q - 4) = 4(q - 8)​

Answer 1

Answer:

1. z = -15

2. p = 7

3. h = -11

4. t = 14

5. q = 12

Step-by-step explanation:

1.

$\frac{z}{-5}+1=4$

Add -1 both sides,

$\frac{z}{-5}+1-1=4-1\\\frac{z}{-5}=3$

Multiply both sides by -5,

$\frac{z}{-5}\times-5=3\times-5\\z=-15$

2.

Distribute 3 in $p+2$ and then add -6p and -6 both sides.

$3(p+2)=6p-15\\3\times p+3\times2 = 6p-15\\3p+6=6p-15\\3p-6p=-15-6\\-3p=-21\\p=\frac{-21}{-3}=7$

3.

$\frac{h-7}{2}=3(h+8)$

Multiply both sides by 2,

$\frac{h-7}{2}\times2=3(h+8)\times2\\h-7=6(h+8)\\h-7=6h+48$

Add -6h and 7 both sides,

$h-6h-7+7=6h-6h+48+7\\-5h=55\\h=\frac{55}{-5}\\h=-11$

4.

$4t+2-5=3(t+7)-9\\4t-3=3t+21-9\\4t-3=3t+12$

Add -3t and 3 both sides.

$4t-3t-3+3=3t-3t+12+3\\t=15$

5.

$2(q-4)=4(q-8)\\2q-8=4q-32$

Add -2q and 8 both sides.

$2q-8-4q+8=4q-4q-32+8\\-2q=-24\\q=\frac{-24}{-2}\\q=12$

Therefore,

1. z = -15

2. p = 7

3. h = -11

4. t = 14

5. q = 12