Correct

说明 vs 解释

/ shuōmíng vs jiěshì /
Strokes

Definition

说明 is a Verb or a Noun, and 解释 is a Verb, which means [to explain; to illustrate; to interpret; explanation].

Example

说明 means "just to explain clearly", while 解释 sometimes means "to explain a knotty problem or even to defend oneself". Besides, they are of different parts of speech.
1) In the four examples, 说明 and 解释 are not interchangeable;

2) 说明来意, 说明问题, 解释误会,解释明白 are all somewhat set phrases. (解释来意 can also be said, but is used in rather difficult cases);

3) 说明 and 解释 both words can be used at the same time, such as 这种解释很能说明问题 (the explanation can prove a lot);

4) Since 明 in 说明 and 明白, 清楚 in 解释明白, 解释清楚 are very similar in meaning, 说明 and 解释 in 解释明白 are not interchangeable.
1
Láifǎngzhě
来访者
shuōmíng
说明
lái
来意
hòu
  
,
bèi
ràng
jìn
tīng
客厅
  

The visitor explained his intention and was asked to come into the sitting room.

2
yòng
gōu
huà
jiù
shuōmíng
说明
le
zhège
这个
zhéxué
哲学
wèn
问题
  

He made the philosophical problem clear with a few words.

3
Zhè
zhǐ
shì
huì
误会
  
,
jiěshì
解释
xià
jiù
háng
le
  

This is a misunderstanding. little explanation will clear it up.

4
zěnme
怎么
jiěshì
解释
míngbái
明白
zhèyàng
这样
zuò
de
yòng
用意
  

She cannot understand her intention of doing so.

说明 and 解释 are interchangeable when the meaning is only a clear general analysis.
加以, 予以, 作, etc. can be used in front of the 说明 and 解释.
5
Qǐng
lǎoshī
老师
shuōmíng
说明
  
(
jiěshì
解释
  
)
xià
zhè
gōu
huà
de
si
意思
  

Please tell us the meaning of the sentence,

6
Wèishénme
为什么
yòng
zhèyàng
这样
de
fāng
方法
  
,
qǐng
jiā
加以
shuōmíng
说明
  
(
jiěshì
解释
  
)
  

Please tell us the reason why the method was emploved.

说明 as a Verb also means "to or confirm"; while 解释 has no such usages.
7
Diàochá
调查
jiēguǒ
结果
chōngfèn
充分
shuōmíng
说明
le
zhè
wèn
问题
de
yánzhòng
严重
xìng
  

The investigation result showed us fully the seriousness of the problem.

8
Jiēguǒ
结果
chōngfèn
充分
shuōmíng
说明
le
yǐnshí
饮食
合理
pèi
搭配
de
zhòngyào
重要
xìng
  

The results show clearly that balanced diet is very mportant.

说明 as a Noun means "directions, manual, or captions, synopsis".
9
bān
一般
shāngpǐn
商品
dōu
yīnggāi
应该
yǒu
附有
shǐyòng
使用
shuōmíng
说明
  

The manual is attached to the goods.

10
piàn
图片
xià
yǒu
shuōmíng
说明
  

There is a caption under the picture.

解释 can also function as subject or object, but does not have the meaning of 说明 as Noun.
11
Zhèzhǒng
这种
jiěshì
解释
shì
qíng
入情入理
de
  

The explanation is reasonable. (subject)

12
tīng
de
jiěshì
解释
  
,
jiù
依旧
rènwéi
认为
shì
故意
bāngzhù
帮助
  

He didn't follow my explanation and he thought I didn't help him advertently. (object)