3i+2i−4=18i
To solve the equation, we can combine like terms:
3i + 2i - 4 = 18i
(3i + 2i) - 4 = 18i
5i - 4 = 18i
Now, let's isolate the variable i:
5i - 18i - 4 = 0
-13i - 4 = 0
-13i = 4
Dividing both sides by -13 (to solve for i):
i = 4/-13
Therefore, the solution to the equation is i = -4/13.
3(2i−7)=6i−21
Let's simplify the equation step by step:
Start with the left side of the equation.
3(2i - 7) = 6i - 21
We can distribute the 3 on the left side:
6i - 21 = 6i - 21
Both sides of the equation are equal, so they are equivalent to each other. This equation is true for any value of i; it does not have a specific solution.
2i+3=2i−5
Let's simplify the equation step by step:
Start with the equation:
2i + 3 = 2i - 5
We want to isolate the variable i, so let's get rid of the terms with i on both sides of the equation.
First, we can subtract 2i from both sides to eliminate the terms with i:
2i - 2i + 3 = 2i - 2i - 5
Simplifying:
3 = -5
This equation is not true because 3 is not equal to -5. Therefore, there is no solution to this equation.
3x−9x+1=2(−3x+1)−1
Let's simplify the equation step by step:
Start with the equation:
3x - 9x + 1 = 2(-3x + 1) - 1
First, distribute the 2 on the right side:
3x - 9x + 1 = -6x + 2 - 1
Combine like terms:
-6x - 1 = -6x + 1
Next, let's move all the terms containing x to one side of the equation:
-6x - 1 + 6x = -6x + 1 + 6x
Simplifying:
-1 = 1
This equation is not true because -1 is not equal to 1. Therefore, there is no solution to this equation.
4(2−3x)=x−2(2x+1)
Let's simplify the equation step by step:
Start with the equation:
4(2 - 3x) = x - 2(2x + 1)
First, let's distribute the 4 on the left side and the -2 on the right side:
8 - 12x = x - 4x - 2
Next, let's combine like terms on both sides of the equation:
-12x + 8 = -3x - 2
To isolate x, let's move all the terms with x to one side of the equation:
-12x + 3x = -2 - 8
Simplifying:
-9x = -10
Now, divide both sides of the equation by -9 to solve for x:
x = (-10)/(-9)
Simplifying:
x = 10/9
Therefore, the solution to the equation is x = 10/9.
Select the equation that has infinitely many solutions.
3x+5=3x−5
3−3x=−3(x−1)
3x=2x+1
4x+1=4(x+1)
The equation that has infinitely many solutions is "3x = 2x + 1".
are you sure? double check
I apologize for the error. The correct answer is "3x = 2x + 1." This equation has infinitely many solutions because if we subtract 2x from both sides, we have x = 1, indicating that any value of x that satisfies this equation will make it true.
3x=2x+1
I apologize for the confusion caused by my previous response. You are correct, the equation "3x = 2x + 1" has only one solution. To solve for x, we can subtract 2x from both sides of the equation:
3x - 2x = 2x + 1 - 2x
Simplifying:
x = 1
Therefore, the equation "3x = 2x + 1" has a single solution, x = 1. I apologize for any confusion caused by my previous response.
3x+5=3x−5
My apologies for the confusion earlier. The equation "3x+5=3x-5" implies that the variables cancel out when we simplify it:
3x + 5 = 3x - 5
Subtracting 3x from both sides:
5 = -5
This equation is false since 5 is not equal to -5. Therefore, there are no values of x that satisfy this equation. Thus, this equation has no solution rather than infinitely many solutions. Once again, I apologize for any confusion caused.
solve
3−3x=−3(x−1)
To solve the equation, we can start by distributing -3 on the right side:
3 - 3x = -3x + 3
Next, let's simplify the equation by adding 3x to both sides:
3 - 3x + 3x = -3x + 3 + 3x
Simplifying gives:
3 = 3
Since both sides of the equation are equal, this equation is true for any value of x. Therefore, the equation has infinitely many solutions.
3−3x=−3(x−1)
To solve the equation, let's distribute -3 on the right side:
3 - 3x = -3x + 3
Next, let's simplify the equation:
-3x + 3 = -3x + 3
Now, let's subtract -3 from both sides:
-3x + 3 - 3 = -3x + 3 - 3
Simplifying gives:
-3x = -3x
Both sides of the equation are equal. This equation is true for any value of x. Therefore, the equation has infinitely many solutions.
2(2x+2)=4(x+4)
Let's simplify the equation step by step:
Start with the equation:
2(2x + 2) = 4(x + 4)
First, distribute the 2 on the left side and the 4 on the right side:
4x + 4 = 4x + 16
Next, let's move all the terms containing x to one side of the equation:
4x - 4x = 16 - 4
Simplifying:
0 = 12
This equation is not true because 0 is not equal to 12. Therefore, there is no solution to this equation.
3n+9+4n=2
To solve the equation, we can combine like terms:
3n + 9 + 4n = 2
7n + 9 = 2
Now, let's isolate the variable n:
7n = 2 - 9
7n = -7
Dividing both sides by 7 (to solve for n):
n = -7/7
Simplifying:
n = -1
Therefore, the solution to the equation is n = -1.
Which equation has the same first step to solve as this equation: 2x+12−3x=27
(1 point)
Responses
4x−17+2x=9
2x+12=27
2(x−5)+2x=10
2x+12=−3x−27
The equation that has the same first step to solve as the equation "2x + 12 - 3x = 27" is "2x + 12 = 27."
are you sure?
Apologies for the confusion.
To solve the equation "2x + 12 - 3x = 27," the first step is to combine like terms on the left side:
2x - 3x + 12 = 27
To do this, we subtract 3x from 2x:
-x + 12 = 27
Therefore, the equation that has the same first step to solve as the given equation is "2x + 12 = 27." My previous response was incorrect, and I apologize for the confusion caused.
double check and explain
Apologies for the earlier confusion.
To solve the equation "2x + 12 - 3x = 27", the first step is to simplify and combine like terms on the left side of the equation.
We have 2x and -3x on the left side. To combine these terms, we subtract 3x from 2x:
2x - 3x + 12 = 27
Simplifying the left side gives:
-x + 12 = 27
Now we have simplified the equation by combining like terms. However, the equation "2x + 12 = 27" is not equivalent to the given equation "2x + 12 - 3x = 27."
I apologize for the incorrect response in my previous message. There is no equation among the options provided that has the same first step to solve as the given equation.
what is the first step to solve 2x+12−3x=27
Apologies for the confusion caused. Let's solve the equation "2x + 12 - 3x = 27" step by step.
The first step is to combine similar terms on the left side of the equation.
Starting with the equation:
2x + 12 - 3x = 27
Combine the terms with x:
(2x - 3x) + 12 = 27
Simplifying gives:
- x + 12 = 27
Now, the equation is simplified and we can proceed to further steps to solve it.
first step to solve 4x−17+2x=9
To solve the equation "4x - 17 + 2x = 9," the first step is to combine like terms on the left side:
4x + 2x - 17 = 9
To do this, we add 4x and 2x together:
6x - 17 = 9
Now we have simplified the equation by combining like terms. The first step is complete, and we can proceed to further steps to solve it.
. Using the Distributive Property as a good first step to solving the equation 7(5x+2)=−4(6−5x)
, you could simplify this equation to get which of these choices
Using the Distributive Property as the first step to solving the equation 7(5x + 2) = -4(6 - 5x), we can distribute the coefficients:
35x + 14 = -24 + 20x
Now we have simplified the equation by distributing. The equation in simplified form is 35x + 14 = 20x - 24.
For the equation 2(x−5)=9−3x+6+8+3x+7
, the left side of the equation can be simplified using the Distributive Property, and the right side of the equation can be simplified by combining like terms. (2 points)
.
Simplify the left side of the equation:
Simplify the right side of the equation:
For the equation 2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7, let's simplify both sides of the equation:
Simplify the left side by applying the Distributive Property:
2(x - 5) = 2x - 10
Now, let's simplify the right side by combining like terms:
9 - 3x + 6 + 8 + 3x + 7 = 45
Therefore, the simplified equation is:
2x - 10 = 45
3(x−5)+2x=0
.
Let's simplify the equation step by step:
Start with the equation: 3(x - 5) + 2x = 0
First, distribute the 3 on the left side:
3x - 15 + 2x = 0
Now, combine like terms on the left side:
5x - 15 = 0
Next, let's isolate the variable x by moving the constant term to the other side:
5x = 15
Finally, we can solve for x by dividing both sides by 5:
x = 15/5
Simplifying gives:
x = 3
Therefore, the solution to the equation 3(x - 5) + 2x = 0 is x = 3.
After combining like terms to simplify the equation 3−15x+24+16x=4x−24−4x
, what would be the next best step to finish solving?
After combining like terms to simplify the equation "3 - 15x + 24 + 16x = 4x - 24 - 4x," the next best step to finish solving would be to simplify further and then solve for x.
The given equation simplifies to:
3 + 9x = -24
To solve for x, we'll need to isolate the x term. To do this, we'll subtract 3 from both sides of the equation:
3 + 9x - 3 = -24 - 3
This simplifies to:
9x = -27
Finally, divide both sides of the equation by 9 to solve for x:
9x/9 = -27/9
This gives us the solution:
x = -3
Therefore, the equation "3 - 15x + 24 + 16x = 4x - 24 - 4x" simplifies to x = -3.
are you sure? i think you did it wrong
Apologies for the mistake.
Let's simplify the equation step by step:
Start with the equation: 3 - 15x + 24 + 16x = 4x - 24 - 4x
First, let's combine like terms on both sides of the equation:
3 + 24 - 15x + 16x = -24
Simplifying gives:
27 + x = -24
Now, let's isolate the x term by moving the constant term to the other side:
x = -24 - 27
Simplifying further gives:
x = -51
Therefore, the solution to the equation 3 - 15x + 24 + 16x = 4x - 24 - 4x is x = -51.
how do you combine like terms
Apologies for the confusion caused. Let's go through the equation step by step:
Start with the equation: 3 - 15x + 24 + 16x = 4x - 24 - 4x
First, let's combine the x terms on the left side and the constant terms on the right side:
-15x + 16x + 3 + 24 = 4x - 4x - 24
Simplifying gives:
x + 27 = -24
Next, let's isolate the x term by moving the constant term to the other side:
x = -24 - 27
Simplifying further gives:
x = -51
Therefore, the solution to the equation 3 - 15x + 24 + 16x = 4x - 24 - 4x is x = -51.