Question

frame equations and solve to find the value of the unknown
a) 4 times X added to 2 gives 10
b)three fourth of a number plus 2 gives 10
c)a number is multiplied by 3 and 7 taken away from the product to get the result 17

Answer 1

$$\begin{gathered} \left(\mathrm{a}\right). \\ 4\mathrm{x}+2=10 \\ \Rightarrow 4\mathrm{x}=10-2 \\ \Rightarrow 4\mathrm{x}=8 \\ \Rightarrow \mathrm{x}=\frac{8}{4}=2 \\ \left(\mathrm{b}\right). \\ \mathrm{Let}\mathrm{the}\mathrm{unknown}\mathrm{number}=\mathrm{x} \\ \frac{3}{4}\mathrm{x}+2=10 \\ \Rightarrow \frac{3\mathrm{x}}{4}=10-2 \\ \Rightarrow \frac{3\mathrm{x}}{4}=8 \\ \Rightarrow 3\mathrm{x}=32 \\ \Rightarrow \mathrm{x}=\frac{32}{3} \\ \left(\mathrm{c}\right) \\ \mathrm{Let}\mathrm{the}\mathrm{unknown}\mathrm{number}=\mathrm{x} \\ 3\mathrm{x}-7=17 \\ \Rightarrow 3\mathrm{x}=17+7 \\ \Rightarrow 3\mathrm{x}=24 \\ \Rightarrow \mathrm{x}=\frac{24}{3} \\ \Rightarrow \mathrm{x}=8 \end{gathered}$$