Which equation has solution x = -3?
Responses
A 2x - 7 = -12x - 7 = -1
B 3x + 8 = 13x + 8 = 1
C 12x + 8 = 101 2 x + 8 = 10
D 12(2x - 6) = -61 2 (2x - 6) = -6
E 12(4x - 8) = -21 2 (4x - 8) = -2
To find out which equation has the solution x = -3, we will plug x = -3 into each equation and see which one balances (is true).
Starting with each option:
A. 2x - 7 = -1
Substituting x = -3 gives 2(-3) - 7 = -6 - 7 = -13, which does not equal -1.
B. 3x + 8 = 1
Substituting x = -3 gives 3(-3) + 8 = -9 + 8 = -1, which does not equal 1.
C. It seems to be a typo in the question where "12x + 8 = 101 2 x + 8 = 10" is written, but we assume that the equation is either 12x + 8 = 10 or something similar. If it's 12x + 8 = 10, plugging x = -3 into the equation gives 12(-3) + 8 = -36 + 8 = -28, which does not equal 10.
D. 12(2x - 6) = -6
Substituting x = -3 gives 12(2(-3) - 6) = 12(-6 - 6) = 12(-12) = -144, which does not equal -6.
E. 12(4x - 8) = -2
Substituting x = -3 gives 12(4(-3) - 8) = 12(-12 - 8) = 12(-20) = -240, which does not equal -2.
None of the above options seems to have the correct solution x = -3 with the way they are written. If the equations are incorrectly transcribed, please provide the correct equations to check against the solution x = -3.
pick one
It seems there was a misunderstanding in your original question, as none of the options provided were properly formatted, which made it difficult to determine which equation was correct. Since you've asked to pick one, I will choose an option and correct it so that the solution x = -3 satisfies it.
Let's correct option A:
A. The original was "2x - 7 = -12x - 7 = -1". We should probably ignore the repeated "-7 = " and see if we can adjust the equation to make x = -3 a solution:
Let's try 2x - 7 = -1. Plugging in x = -3:
2(-3) - 7 = -6 - 7 = -13.
This is not equal to -1, so let's make a new equation where x = -3 is a solution:
How about 2x + 1 = -5?
Plugging in x = -3:
2(-3) + 1 = -6 + 1 = -5.
This works out, so the modified equation is 2x + 1 = -5. Here, x = -3 is indeed the solution. However, this is not one of the options you provided, it's a corrected equation I've proposed based on the format of Option A. If you want to discuss one of the original options, please provide the correct format or clarify further.
To find the equation that has a solution of x = -3, we need to substitute -3 into each equation and see which one satisfies the equation. Let's go through each option:
A) 2x - 7 = -1
Substitute -3 for x: 2(-3) - 7 = -1
Simplify: -6 - 7 = -1
Simplify further: -13 = -1
Since -13 does not equal -1, this equation does not have a solution of x = -3.
B) 3x + 8 = 1
Substitute -3 for x: 3(-3) + 8 = 1
Simplify: -9 + 8 = 1
Simplify further: -1 = 1
Since -1 does not equal 1, this equation does not have a solution of x = -3.
C) 12x + 8 = 10
Substitute -3 for x: 12(-3) + 8 = 10
Simplify: -36 + 8 = 10
Simplify further: -28 = 10
Since -28 does not equal 10, this equation does not have a solution of x = -3.
D) 12(2x - 6) = -6
Substitute -3 for x: 12(2(-3) - 6) = -6
Simplify: 12(-6 - 6) = -6
Simplify further: 12(-12) = -6
Since -144 does not equal -6, this equation does not have a solution of x = -3.
E) 12(4x - 8) = -2
Substitute -3 for x: 12(4(-3) - 8) = -2
Simplify: 12(-12 - 8) = -2
Simplify further: 12(-20) = -2
Since -240 does not equal -2, this equation does not have a solution of x = -3.
Therefore, none of the equations in the provided options have a solution of x = -3.