Question

hi please help me with this practice it's a practice for upcoming final test of the year but this is just a practice version It's kind of just a little study please help me with it because I have the big test on Monday

Answer 1

Question 1:

We have the following equation

$a+\ 5.92=\ 12.29$

We are asked what is the solution to this equation.

Let us solve this equation for a

Subtract $5.92 to both sides of the equation and simplify

$\begin{gathered} a+\ 5.92-\ 5.92=\ 12.29-\ 5.92 \\ a=6.37 \end{gathered}$

As you can see, the solution to this equation is $6.37

The goal in such kind of questions is to separate the variable

Question 2:

We have the following equation

$\frac{42}{j}=6$

We need to solve the equation for variable j

In the first step, the variable j in the division gets multiplied to the other side of the equation

$\begin{gathered} \frac{42}{j}=6 \\ 42=6j \end{gathered}$

In the second step, the 6 gets divided to the other side of the equation

$\begin{gathered} 42=6j \\ \frac{42}{6}=j \\ 7=j \end{gathered}$

Therefore, the solution to the equation is 7