Question

Exercise 3: Show that each of the following values for the given variable is a solution to thegiven equation. Show the calculations that lead to your answer.(a) 5x + 2 = 12for x = 2(b) = 6for x = 15(C) x2 – 2x = 8for x = 4

Answer 1

`\begin{gathered} (a) \\ \text{The equation is}\Rightarrow5x+2=12,and\text{ x=2} \\ So,\text{ for left hand side}\Rightarrow\text{5}*2+2=10+2=12 \\ \text{Left hand side=right hand side}\Rightarrow x=2\text{ is the solution for given equation.} \\ (b) \\ \text{The equation is}\Rightarrow(x-3)/(2)=6,\text{and x=15} \\ So,\text{ for left hand side}\Rightarrow(15-3)/(2)=(12)/(2)=6 \\ \text{Left hand side=right hand side}\Rightarrow x=15\text{ is the solution for given equation.} \\ (c) \\ \text{The equation is}\Rightarrow x^2-2x=8,\text{and x=4} \\ So,\text{ for left hand side}\Rightarrow4^2-2*4=16-8=8 \\ \text{Left hand side=right hand side}\Rightarrow x=4\text{ is the solution for given equation.} \end{gathered}`