Maths-
General
Easy
Question
Check, whether the following equation has exactly one solution or infinitely many solution or no solution. 4x - 3 = 2x + 13
Hint:
When a given equation has only 1 value that can be substituted for the variable which will satisfy the given equation, the said equation has only 1 solution. i.e. after simplifying the equation, we will get a single value as the solution for x.
We will simplify the given equation and the number of values we get for the variable.
The correct answer is: The given equation i.e. 4x - 3 = 2x + 13 can be classified as an equation with only one solution.
Step-by-step solution:-
Simplifying the given equation i.e. 4x - 3 = 2x + 13, we get-
4x - 3 = 2x + 13
∴ 4x - 2x = 13 + 3 ...........................................................................(Taking variables and constants on either side of the equation)
∴ 2x = 16
∴ x = 8 …......................................................................... (Dividing both sides by 2)
Since after simplifying the given equation, we get a single value of x i.e. 8 that will satisfy the given equation, we can conclude that the given equation has 1 solution.
Final Answer:-
∴ The given equation i.e. 4x - 3 = 2x + 13 can be classified as an equation with only one solution.
Related Questions to study
Maths-
Describe the pattern in the numbers. Write the next number in the pattern.
5, − 2, − 9, − 16, …
Describe the pattern in the numbers. Write the next number in the pattern.
5, − 2, − 9, − 16, …
Maths-General
Maths-
Use the Law of Detachment to make a valid conclusion in the true situation. Alex goes to the park every Sunday evening. Today is Sunday.
Use the Law of Detachment to make a valid conclusion in the true situation. Alex goes to the park every Sunday evening. Today is Sunday.
Maths-General
Maths-
For which of the values of a and b will the following pair of linear equations has infinitely many solutions x + 2y = 1; (a - b)x + (a + b)y = a + b - 2
a) a = - 3 , b = 1
b) a = 3 , b = 1
c) a = 2 , b = 2
d) None of the above
For which of the values of a and b will the following pair of linear equations has infinitely many solutions x + 2y = 1; (a - b)x + (a + b)y = a + b - 2
a) a = - 3 , b = 1
b) a = 3 , b = 1
c) a = 2 , b = 2
d) None of the above
Maths-General
Maths-
Describe the pattern in the numbers. Write the next number in the pattern.
3, 1, 1/3, 1/9, …
Describe the pattern in the numbers. Write the next number in the pattern.
3, 1, 1/3, 1/9, …
Maths-General
Maths-
In An academic contest, the Correct answer earns 12 points and the incorrect answer loses 5 points. In the final round, School A starts with 165 points and gives the same number of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied. Find
b) How many answers did each school get correct in the final round?
In An academic contest, the Correct answer earns 12 points and the incorrect answer loses 5 points. In the final round, School A starts with 165 points and gives the same number of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied. Find
b) How many answers did each school get correct in the final round?
Maths-General
Maths-
Classify the linear equations x = 2y and, y = 2x as having one solution, no solution or infinitely many solutions.
Classify the linear equations x = 2y and, y = 2x as having one solution, no solution or infinitely many solutions.
Maths-General
Maths-
In An academic contest, the Correct answer earns 12 points and the incorrect answer loses 5 points. In the final round, School A starts with 165 points and gives the same number of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied. Find
a) Frame the equation which models the scoring in the final round and the outcome of the contest?
In An academic contest, the Correct answer earns 12 points and the incorrect answer loses 5 points. In the final round, School A starts with 165 points and gives the same number of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied. Find
a) Frame the equation which models the scoring in the final round and the outcome of the contest?
Maths-General
Maths-
Use the Law of Detachment to make a valid conclusion in the true situation. If two lines are perpendicular, they form a right angle.
Use the Law of Detachment to make a valid conclusion in the true situation. If two lines are perpendicular, they form a right angle.
Maths-General
Maths-
Classify the linear equations x - 3y = 3 , 3x - 9y = 2 as having one solution , no solution or infinitely many solutions .
Classify the linear equations x - 3y = 3 , 3x - 9y = 2 as having one solution , no solution or infinitely many solutions .
Maths-General
Maths-
Describe the pattern in the numbers. Write the next number in the pattern.
1, 3/4, 1/2, 1/4, …
Describe the pattern in the numbers. Write the next number in the pattern.
1, 3/4, 1/2, 1/4, …
Maths-General
Maths-
Classify the equation 2x + 1 - 4 = -2x - 3 as having one solution , no solution or infinitely many solutions .
Classify the equation 2x + 1 - 4 = -2x - 3 as having one solution , no solution or infinitely many solutions .
Maths-General
Maths-
The Price of Stock A at 9 A.M was 12.73 .Since then the price has been increasing at the rate of Rs 0.06 per hour. At noon , the price of stock B was Rs 13.48 .It begins to decrease at the rate of Rs 0.14 per hour. If the stocks continue to increase and decrease at the same rates, in how many hours will the prices of the stocks be the same?
The equation is defined as a mathematical statement with at least two terms containing variables or numbers that are equal.
Let's take an example:
Assume the hours are "h" when attempting to equalize,
As per the given question, we can write the equation as:
12.73 + 0.06h = 13.48 - 0.14h
Rearrange the terms of h in the above equation,
0.06h + 0.14h = 13.48- 12.73
In the above equation, combine the corresponding terms,
0.2h = 0.75
Divide both sides by 0.2
h = 0.75/0.2
h = 3.75
Thus, the stock prices will be the same in 3.75 hours.
The Price of Stock A at 9 A.M was 12.73 .Since then the price has been increasing at the rate of Rs 0.06 per hour. At noon , the price of stock B was Rs 13.48 .It begins to decrease at the rate of Rs 0.14 per hour. If the stocks continue to increase and decrease at the same rates, in how many hours will the prices of the stocks be the same?
Maths-General
The equation is defined as a mathematical statement with at least two terms containing variables or numbers that are equal.
Let's take an example:
Assume the hours are "h" when attempting to equalize,
As per the given question, we can write the equation as:
12.73 + 0.06h = 13.48 - 0.14h
Rearrange the terms of h in the above equation,
0.06h + 0.14h = 13.48- 12.73
In the above equation, combine the corresponding terms,
0.2h = 0.75
Divide both sides by 0.2
h = 0.75/0.2
h = 3.75
Thus, the stock prices will be the same in 3.75 hours.
Maths-
Use the Law of Detachment to make a valid conclusion in the true situation. If two angles have the same measure, then they are congruent
Use the Law of Detachment to make a valid conclusion in the true situation. If two angles have the same measure, then they are congruent
Maths-General
Maths-
Classify the equation 3x - x + 4 = 4(2x - 1) as having one solution , no solution or infinitely many solutions .
Classify the equation 3x - x + 4 = 4(2x - 1) as having one solution , no solution or infinitely many solutions .
Maths-General
Maths-
The Population of one town is 43,425. About 125 people move out of the town each month. Each month 200 people on average move into town. A nearby town has a population of 45000. It has no one moving in and an average of 150 people moving away every month. In about how many months will the population of the towns be equal ?
The Population of one town is 43,425. About 125 people move out of the town each month. Each month 200 people on average move into town. A nearby town has a population of 45000. It has no one moving in and an average of 150 people moving away every month. In about how many months will the population of the towns be equal ?
Maths-General
