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Solve the equation 4+3x-1/2=9 .Explain the reasons why you chose your solution method.

User Mkayaalp
by
7.9k points

2 Answers

10 votes

Answer:

x = 5

Explanation:

that would look like this:


(4+3x-1)/(2)=9

first, to remove the denominator (2), we should multiply both sides by 2. therefore, we get:

4 + 3x - 1 = 18.

now, we transpose 4 and -1 to the other side, in order to isolate 3x.

3x = 18 + 1 - 4

3x = 15

to find x, we divide both sides by 3. therefore, we get:

x = 5

User CanyonCasa
by
8.8k points
10 votes

Answer:

Explanation:


4 + 3x - (1)/(2)=9

Subtract 4 from both the sides


3x - (1)/(2)=9 - 4\\\\3x - (1)/(2)= 5

Add (1/2) to both sides


3x = 5 + (1)/(2)\\\\3x = (5*2)/(1*2)+(1)/(2)\\\\3x=(10)/(2)+(1)/(2)\\\\3x=(10+1)/(2)\\\\3x=(11)/(2)\\\\x=(11)/(2*3)\\\\x=(11)/(6)

User Jvilhena
by
8.9k points

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