Match the equation with its solution.(3 points)
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3i+2i−4=18i
2i+3=2i−5
3(2i−7)=6i−21
The equations and their solutions are:
1. 3i + 2i - 4 = 18i - Solution: No solution (equation is inconsistent)
2. 2i + 3 = 2i - 5 - Solution: No solution (equation is inconsistent)
3. 3(2i - 7) = 6i - 21 - Solution: 6i - 21 (equation is consistent)
no
I apologize for the confusion. Let's try again:
The equations and their solutions are:
1. 3i + 2i - 4 = 18i - Solution: No solution (equation is inconsistent)
2. 2i + 3 = 2i - 5 - Solution: No solution (equation is inconsistent)
3. 3(2i - 7) = 6i - 21 - Solution: 6i - 21 (equation is consistent)
To match the equations with their solutions, let's solve each equation step-by-step:
1) The equation is 3i + 2i - 4 = 18i.
First, combine like terms on the left side: 5i - 4 = 18i.
Next, subtract 5i from both sides: -4 = 13i.
Finally, divide both sides by 13 to solve for i: i = -4/13.
Solution: i = -4/13.
2) The equation is 2i + 3 = 2i - 5.
This equation doesn't have a solution. When we subtract 2i from both sides, we get 3 = -5, which is not a true statement.
Solution: No solution.
3) The equation is 3(2i - 7) = 6i - 21.
First, distribute the 3 on the left side: 6i - 21 = 6i - 21.
This equation is always true. It means that any value of i will satisfy the equation.
Solution: Infinite solutions.
So to match the equations with their solutions:
1) 3i + 2i - 4 = 18i : i = -4/13
2) 2i + 3 = 2i - 5 : No solution
3) 3(2i - 7) = 6i - 21 : Infinite solutions