Question

4.

Answer 1

Answer:

a) 36

b) 8.5

c) 5/2

d) 6

e) 9

f) 8

Step-by-step explanation:

a) $x \div 3 =12$

Multiply both sides by 3

$x \div 3 =12\\3*(x \div 3) = 12*3\\x=36$

b) $2x+3=20$

Subtracting 3 from both sides

$2x+3-3=20-3\\2x=20-3\\2x=17\\x=\frac{17}{2}\\x=8.5$

c) $\frac{4}{3}x=\frac{10}{3}$

Multiply both sides by 3/4

$\frac{4}{3}x*\frac{3}{4} =\frac{10}{3} *\frac{3}{4}\\x=\frac{5}{2}$

d) $-4x=-24$

Divide both sides by -4

$-4x=-24\\\frac{-4x}{-4}=\frac{-24}{-4}\\x=6$

e) $2(x-4)=10$

Divide both sides by 2

$2(x-4)=10\\\frac{2(x-4)}{2}=\frac{10}{2}\\x-4=5\\Adding \ 4 \ on \ both \ sides\\x-4+4=5+4\\x=9$

f) $-0.5x+1.1=-2.9$

Subtracting 1.1 on both sides

$-0.5x+1.1-1.1=-2.9-1.1\\-0.5x=-4\\Divide \ both \ sides \ by \ -0.5\\\frac{-0.5x}{-0.5}=\frac{-4}{-0.5}\\x=8$