Question

Solve the following equation using the method of transposition:
16 = 4 + 3(t + 2)

Answer 1

In the method of transposition, we transpose the variables to one side and the constants to the other side. Then, we will simplify the expression and solve for the variable.

16 = 4 + 3(t + 2)

Step 1: Transpose the variable to one side and the constants to the other side.

$4+3(t+2)=16$

$\Rightarrow 3(t+2)=16-4$

$\Rightarrow t+2=\frac{(16-4)}{3}$

$\Rightarrow t=\frac{(16-4)}{3}-2$

Step 2: Simplify the expression and solve for the variable.
$t=\frac{(16-4)}{3}-2$
$=\frac{12}{3}-2=4-2=2$
$t=2$