Question

HELPPPPPPP this is due tonight!!!

Answer 1

Given:

The equation is:

$4x+1+x+3=-11$

To find:

The solution for the given equation.

Solution:

We have,

$4x+1+x+3=-11$

The solution of the given equation with reasons is shown below:

Statement                                     Reason

(1) $4x+x+1+3=-11$          (1) Commutative property of addition

(2) $(4+1)x+4=-11$             (2) Distributive property of multiplication under

    $5x+4=-11$                            addition

(3) $5x+4-4=-11-4$         (3) Subtraction property of equality

    $5x=-15$

(4) $\dfrac{1}{5}\cdot 5x=\dfrac{1}{5}\cdot (-15)$               (4) Multiplication property of equality

   $x=-3$

Therefore, the solution for the given equation is $x=-3$.