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

See below

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