Question

e)3/4x-1/2=0 f)0,2x-10=0 g) -10x+0,2=5 h)24x+1=9

Answer 1

$e)\quad \dfrac{3}{4}\cdot \text{x}-\dfrac{1}{2} = 0\Rightarrow \dfrac{3}{4}\cdot \text{x} = \dfrac{1}{2} \Rightarrow \text{x} = \dfrac{\dfrac{1}{2}}{\dfrac{3}{4}} \Rightarrow \text{x} = \dfrac{1}{\not2}\cdot \dfrac{\not4}{3}^{2} \Rightarrow \boxed{\text{x} = \dfrac{2}{3}}\\ \\ f)\quad 0,2\cdot\text{x}-10= 0 \Rightarrow 0,2\cdot \text{x}=10 \Rightarrow \text{x} = \dfrac{10}{0,2} \Rightarrow \text{x} = \dfrac{10}{\dfrac{1}{2}} \Rightarrow\\ \Rightarrow \text{x} = 10\cdot 2 \Rightarrow \boxed{\text{x} = 20}$

[tex] g)\quad -10\text{x}+0,2 = 5 \Rightarrow -10x = 5-0,2 \Rightarrow -10\text{x} = 4,8 \Rightarrow \text{x} = \dfrac{4,8}{-10} \Rightarrow \\ \\ \Rightarrow \text{x} = \dfrac{\dfrac{48}{10}}{-10} \Rightarrow \text{x} = -\dfrac{48}{10\cdot 10} \Rightarrow \text{x} = -\dfrac{48}{100} \Rightarrow \boxed{\text{x} = -\dfrac{12}{25}}[/tex]

$h)\quad 24\text{x}+1=9 \Rightarrow 24\text{x} = 9-1 \Rightarrow 24\text{x} = 8 \Rightarrow \text{x} = \dfrac{8}{24} \Rightarrow \boxed{\text{x} = \dfrac{1}{3}}$