Question

-2.1a + 7.3 = 1.4a - 10.2

Answer 1

The given equation is:

$-2.1a+7.3=1.4a-10.2$

Step by step solution:

1. Add 10.2 to both sides:

$\begin{gathered} -2.1a+7.3+10.2=1.4a-10.2+10.2 \\ -2.1a+17.5=1.4a \end{gathered}$

2. Add 2.1a to both sides:

$\begin{gathered} -2.1a+17.5+2.1a=1.4a+2.1a \\ 17.5=3.5a \end{gathered}$

3. Divide both sides by 3.5

$\begin{gathered} \frac{17.5}{3.5}=\frac{3.5a}{3.5} \\ \text{Simplify} \\ 5=a \end{gathered}$

Then a=5