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)