Answer:
The solution to the equation:
[tex]\frac{3}{5}x_{}+2=5.6[/tex]is
[tex]x=3[/tex]Explanation:
Given the equation:
[tex]\frac{3}{5}x_{}+2=5.6[/tex]To solve this, first subtract 2 from both sides of the equation:
[tex]\begin{gathered} \frac{3}{5}x+2-2=5.6-2 \\ \\ \frac{3}{5}x=3.6 \end{gathered}[/tex]Next, mutiply both sides of the equation by the reciprocal of the coefficient of the unknown variable x.
The coefficient of x is 3/5, and the reciprocal of 3/5 is 5/3.
So
[tex]\begin{gathered} \frac{3}{5}x\times\frac{5}{3}=3.6\times\frac{5}{3} \\ \\ x=\frac{3.6\times5}{3} \\ \\ =\frac{18}{3} \\ \\ =6 \end{gathered}[/tex]The solution is therefore, x = 6