4x + 2(x – 3) = 4x + 2x – 11Part A: Solve the equation and write the number of solutions. Show all the steps. Part B: Name one property you used to solve this equation.

Question

asked Apr 2, 2023 118k views

1 Answer

LawMan · Answer 1 · 2023-04-09T05:05:16+0000

Part A:

The given equation is:

Combine like terms:

Using the distributive property, expand the expression:

Combine like terms:

Using the Substitution Property of Equality, it follows that:

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

Since the statement -6 = -11 is false, it follows that there is no solution to the equation

Therefore, the number of solutions is 0

Part B: One property used is the Subtraction Property of Equality