Sign In
Ask Question
Kathy Jacobs
Mathematics
2 January, 17:08
What is the solution of the equation 17 = 3x - 4?
+2
Answers (
2
)
Tamia Clements
2 January, 17:10
0
Answer: 7
Explanation:
1. 17 = 3x - 4.
According to the order of operations in algebraic equations, one must first subtract or add any given number to both sides. This is because the main goal when solving is to "isolate" the variable, or in other words keep it "single" on one side of the equals sign.
2. So, next one must add the - 4 to both sides (this is because the opposite of - 4 is + 4 or positive 4)
17 = 3x - 4
+4 + 4
The 2 fours on the right cancel each other out (because - 4 plus positive 4 is equal to zero). And when one adds 17 + 4, the equations looks like this:
21 = 3x
3. Now, in order to undo the operation of 3 times x, one must do the opposite of multiplying, which is division. So, one now must divide by 3 one both sides like the following:
21 = 3x
:3 : 3
The 3s on the right cancel each other out, and 21 divided by 3 is 7:
7 = x
Thus, 7 is equal to x.
Comment
Complaint
Link
Aidyn Hutchinson
2 January, 17:13
0
x = 7
Step-by-step explanation:
Simplifying
17 = 3X + - 4
Reorder the terms:
17 = - 4 + 3X
Solving
17 = - 4 + 3X
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-3X' to each side of the equation.
17 + - 3X = - 4 + 3X + - 3X
Combine like terms: 3X + - 3X = 0
17 + - 3X = - 4 + 0
17 + - 3X = - 4
Add '-17' to each side of the equation.
17 + - 17 + - 3X = - 4 + - 17
Combine like terms: 17 + - 17 = 0
0 + - 3X = - 4 + - 17
-3X = - 4 + - 17
Combine like terms: - 4 + - 17 = - 21
-3X = - 21
Divide each side by '-3'.
X = 7
Simplifying
X = 7
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Find an answer to your question 👍
“What is the solution of the equation 17 = 3x - 4? ...”
in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
What are perfect trios as a whole number?
Answers (1)
Can 7/12 be simplified
Answers (1)
Write down a set of 5 numbers, such that the mean=median=mode=8
Answers (1)
The equation y = 35.25x + 40 gives the labor cost y of repairing a car if it takes x hours to repair the car. Which statement is true? For every hour of labor, the cost decreases by $40. For every hour of labor, the cost decreases by $35.25.
Answers (1)
What property is illustrated in the question 9 + 13=13+9
Answers (1)
New Questions in Mathematics
In two years the value of a car chnaged from 14,000 to 11,200 what is the percent of change
Answers (1)
What is the difference 4 1/3 - (-2/3)
Answers (1)
Elaine is painting a fence. she knows that she needs 1 gallon of paint for each 10 feet of fencing. The fencing will enclose a rectangular yard that is 3 yards long and 2 yards wide. how much paint does Elaine need?
Answers (1)
What is the square root of 2/9?
Answers (1)
What is 75% of 200?
Answers (1)
Home
»
Mathematics
» What is the solution of the equation 17 = 3x - 4?
Sign In
Sign Up
Forgot Password?