Question

An equation is shown below:4x + 2(x − 3) = 4x + 2x − 11Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)Part B: Name one property you used to solve this equation. (4 points)Can you answer part b and part a in written format please?

Answer 1

Given

4x + 2(x − 3) = 4x + 2x − 11

Find

Solve the equation and write the number of solutions

Name one property you used to solve this equation.

Explanation

First we solve the bracket by using distributive property

$\begin{gathered} 4x+2\left(x−3\right)=4x+2x−11 \\ 4x+2x-6=4x+2x-11 \end{gathered}$

now add like terms on each side

$6x-6=6x-11$

now take the like terms on one side

$\begin{gathered} 6x-6x=-11+6 \\ 0=-5 \end{gathered}$

which is not true

so this equation has no solution

property used to solve this equation is distributive property

Final Answer

Therefore,

Part A - no solution

Part B - Distributive Property