Question

Solving Equations with the Variable on Each Side
Justify each step.
a.
b.
1. 4k-3=2k + 5
4k-3-2k= 2k +5 - 2k
2k-3 = 5
2k-3+3=5+3
2k=8
2k_8
2 2
k=4
C.
d.
e.
f.

Answer 1

Answer:

See below

Step-by-step explanation:

4k - 3 = 2k + 5                      Given

4k - 3 -2k = 2k + 5 - 2k         Addition (added -2k to both sides )

4k - 2k - 3 = 2k - 2k + 5        Commutative  (changed the order of the terms)

2k - 3 =  0 + 5                         Addition/ Identity

 2k - 3 = 5                               Addition

 2k - 3 + 3 = 5 + 3                 Addition (added 3 to both sides)

  2k + 0 = 8                            Addition

  2k =  8                                 Identity