The equations with their respective solutions are:
3i + 2i - 7 = 18 → No solutions
3 (2i - 7) = 15 → i = 6
3i + 5 = 2i - 7 → i = -12
3i + 5 = 3i + 7 → No solutions
3 (2i + 7) = 6i + 21 → Infinite solutions
Match the equation with its solution(s).
3i + 2i - 7 = 18
3 (2i - 7) = 15
3i + 5 = 2i - 7
3i + 5 = 3i + 7
3 (2i + 7) = 6i + 21
Infinite solutions
No solutions
i = -12
i = 5
i = 6
i = 7
i = 11
11 answers
bot you sure, i think one might be wrong
Apologies for any confusion. Let's go through the equations again:
3i + 2i - 7 = 18 → 5i - 7 = 18 → 5i = 25 → i = 5
3 (2i - 7) = 15 → 6i - 21 = 15 → 6i = 36 → i = 6
3i + 5 = 2i - 7 → i + 5 = -7 → i = -12
3i + 5 = 3i + 7 → 5 = 7 → No solutions
3 (2i + 7) = 6i + 21 → 6i + 21 = 6i + 21 → Infinite solutions
So, you are correct. The correct matches are:
3i + 2i - 7 = 18: i = 5
3 (2i - 7) = 15: i = 6
3i + 5 = 2i - 7: i = -12
3i + 5 = 3i + 7: No solutions
3 (2i + 7) = 6i + 21: Infinite solutions
3i + 2i - 7 = 18 → 5i - 7 = 18 → 5i = 25 → i = 5
3 (2i - 7) = 15 → 6i - 21 = 15 → 6i = 36 → i = 6
3i + 5 = 2i - 7 → i + 5 = -7 → i = -12
3i + 5 = 3i + 7 → 5 = 7 → No solutions
3 (2i + 7) = 6i + 21 → 6i + 21 = 6i + 21 → Infinite solutions
So, you are correct. The correct matches are:
3i + 2i - 7 = 18: i = 5
3 (2i - 7) = 15: i = 6
3i + 5 = 2i - 7: i = -12
3i + 5 = 3i + 7: No solutions
3 (2i + 7) = 6i + 21: Infinite solutions
Solve the equation using the property and the steps: 2 (x + 8) = 2x + 8
Step 1: ? Property to get ?
Step 2: ? Property to get ?
There is/are ? solution(s)
Step 1: ? Property to get ?
Step 2: ? Property to get ?
There is/are ? solution(s)
Step 1: Distributive property:
2(x + 8) = 2x + 16
Step 2: Simplifying:
2x + 16 = 2x + 8
Since both sides of the equation are equal, the solution is all real numbers.
There are infinitely many solutions to the equation: x can be any real number.
2(x + 8) = 2x + 16
Step 2: Simplifying:
2x + 16 = 2x + 8
Since both sides of the equation are equal, the solution is all real numbers.
There are infinitely many solutions to the equation: x can be any real number.
Solve the equation using the property and the steps: 2 (x + 8) = 2x + 8
Step 1: ? Property to get ?
Step 2: ? Property to get ?
There is/are ? solution(s)
Distributive
Combine like terms
Subtraction property of equality
Addition property of equality
Multiplication property of equality
Division property of equality
Infinite
No
One
2x + 16 = 2x + 8
2x + 8 = 2x + 8
2x + 8 = 2x
2x + 24 = 2x
8 = -8
x = -8
x = 8
Step 1: ? Property to get ?
Step 2: ? Property to get ?
There is/are ? solution(s)
Distributive
Combine like terms
Subtraction property of equality
Addition property of equality
Multiplication property of equality
Division property of equality
Infinite
No
One
2x + 16 = 2x + 8
2x + 8 = 2x + 8
2x + 8 = 2x
2x + 24 = 2x
8 = -8
x = -8
x = 8
Step 1: Distributive property:
2(x + 8) = 2x + 16
Step 2: Combine like terms:
2x + 16 = 2x + 8
Step 3: Subtraction property of equality:
2x + 16 - 2x = 2x + 8 - 2x
This simplifies to:
16 = 8
Since 16 is not equal to 8, there is no solution to the equation.
Therefore, the equation has no solution.
2(x + 8) = 2x + 16
Step 2: Combine like terms:
2x + 16 = 2x + 8
Step 3: Subtraction property of equality:
2x + 16 - 2x = 2x + 8 - 2x
This simplifies to:
16 = 8
Since 16 is not equal to 8, there is no solution to the equation.
Therefore, the equation has no solution.
bot can you choose from the answers i provided
Apologies for the misunderstanding. Let's go through the steps again:
Step 1: Distributive property:
2(x + 8) = 2x + 16
Step 2: Combine like terms:
2x + 16 = 2x + 8
Step 3: Subtraction property of equality:
2x + 16 - 2x = 2x + 8 - 2x
This simplifies to:
16 = 8
Since 16 is not equal to 8, there is no solution to the equation.
Therefore, the equation has no solution.
Step 1: Distributive property:
2(x + 8) = 2x + 16
Step 2: Combine like terms:
2x + 16 = 2x + 8
Step 3: Subtraction property of equality:
2x + 16 - 2x = 2x + 8 - 2x
This simplifies to:
16 = 8
Since 16 is not equal to 8, there is no solution to the equation.
Therefore, the equation has no solution.
bot can you choose from the answers i showed you, theres only two steps not three
Apologies for the confusion. Let's go through the steps again:
Step 1: Distributive property to remove the parentheses:
2(x + 8) = 2x + 16
Step 2: Combine like terms on the right side of the equation:
2x + 16 = 2x + 8
Since both sides of the equation are equal and the variables have the same coefficients, the equation has infinite solutions.
Therefore, the equation has infinite solutions.
Step 1: Distributive property to remove the parentheses:
2(x + 8) = 2x + 16
Step 2: Combine like terms on the right side of the equation:
2x + 16 = 2x + 8
Since both sides of the equation are equal and the variables have the same coefficients, the equation has infinite solutions.
Therefore, the equation has infinite solutions.
1 answer