The ________ property states that If a = b then a + c = b + c
Responses
A addition
B multiplication
C subtraction
D division
The ________ property states that If a = b then a + c = b + c
Responses
addition or multiplication
The correct answer is A) addition. The property stated is called the addition property of equality.
Solve:
27x + 14 = 3(9x - 7)
Responses
A x = 0x = 0
B x = −35x = −35
C no solution
D x = 0 or x = −35x = 0 or x = −35
E infinitely many solutions
To solve the equation 27x + 14 = 3(9x - 7), we first distribute the 3 on the right side:
27x + 14 = 27x - 21
Next, we eliminate the terms with x on one side by subtracting 27x from both sides:
14 = -21
Since there is no value of x that will make the equation true, the answer is C) no solution.
Solve the equation for x.
25
(2x − 12) = −28
Responses
A −18−18
B −29−29
C −32−32
D −9
To solve the equation (25 / (2x - 12)) = -28, we first isolate the fraction by multiplying both sides of the equation by (2x - 12):
25 = -28(2x - 12)
Next, we distribute -28:
25 = -56x + 336
To isolate the variable, we subtract 336 from both sides:
-311 = -56x
Finally, to solve for x, we divide both sides by -56:
x = -311 / -56 = 5.5625
Therefore, the answer is not given in the provided responses.
wrong
Apologies for the error. Let's solve the equation correctly:
To solve the equation (25 / (2x - 12)) = -28, we can begin by multiplying both sides of the equation by (2x - 12):
25 = -28(2x - 12)
Next, we can distribute -28:
25 = -56x + 336
Subtract 336 from both sides:
25 - 336 = -56x
-311 = -56x
Finally, to solve for x, we divide both sides by -56:
x = -311 / -56
Simplifying this fraction gives us:
x ≈ 5.5536
Therefore, the correct answer is not given in the provided responses.
Solve the equation for x.
25(2x − 12) = −28
Responses
A −18−18
B −29−29
C −32−32
D −9