Q70. - Algebra 2

Question

Solve each equation. Check your solution.

 $x+3=2$

Step-by-Step Solution

Answer

The solution of given equation is $x=-1$.

Step 1 – Subtraction property of equality.

According to the subtraction property of equality, if $a=b$, then $a-c=b-c$, where $a,b,c$ are real values.

Step 2 – Given information.

The given equation is: 

$x+3=2$

Step 3 – Solve the given equation.

The given equation is:

$x+3=2$

Subtract $3$ from both sides of the above equation.

$\begin{array}{l}x+3-3=2-3\\ x=-1\end{array}$

Thus, the solution of given equation is $x=-1$.

Step 4 – Verify the solution.

If left hand side of the given equation is equal to the right hand side of the equation for $x=-1$ then it is the correct solution.

Substitute $x=-1$ in the given equation.

$\begin{array}{l}-1+3=2\\ 2=2\end{array}$

Left hand side is equal to the right hand side. Thus the solution $x=-1$ is correct.