Q71. - Algebra 2

Question

Solve each equation. Check your solution.

 $-4+2y=0$

Step-by-Step Solution

Answer

The solution of given equation is $y=2$.

Step 1 –Properties of equality.

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

According to the division property of equality, if $a=b$, then $\frac{a}{c}=\frac{b}{c}$, where $a,b,c$ are real values and $c\ne 0$.

Step 2 – Given information.

The given equation is:

$-4+2y=0$

Step 3 – Solve the given equation.

The given equation is:

$-4+2y=0$

Add $4$ on both sides of the above equation.

$\begin{array}{l}-4+2y+4=0+4\\ 2y=4\end{array}$

Divide both sides by $2$.

$\begin{array}{l}\frac{2y}{2}=\frac{4}{2}\\ y=2\end{array}$

Thus, the solution of given equation is $y=2$.

Step 4 – Verify the solution.

If left hand side of the given equation is equal to the right hand side of the equation for $y=2$ then it is the correct solution.

Substitute $y=2$ in the given equation.

$\begin{array}{l}-4+2\left(2\right)=0\\ -4+4=0\\ 0=0\end{array}$

Left hand side is equal to the right hand side. Thus the solution $y=2$ is correct.