For which equation is the order of steps to first divide both sides by 6 and then to add 8 to both sides?(1 point) Responses 8(x − 6) = 48 8 left parenthesis x minus 6 right parenthesis equals 48 6(x + 8) = 48 6 left parenthesis x plus 8 right parenthesis equals 48 6x − 8 = 48 6 x minus 8 equals 48 6(x − 8) = 48
The equation for which the order of steps is to first divide both sides by 6 and then add 8 to both sides is:
6(x + 8) = 48
The equation for which the order of steps is to first divide both sides by 6 and then add 8 to both sides is: 6(x - 8) = 48.
To determine the equation where the order of steps involves first dividing both sides by 6 and then adding 8 to both sides, we need to look for the equation where 6 is being divided and 8 is being added.
From the given options, the equation that fits this criteria is:
6(x − 8) = 48
In this equation, we first divide both sides by 6 to isolate the x-term:
(x − 8) = 8
After dividing by 6, we then add 8 to both sides:
(x − 8) + 8 = 8 + 8
This simplifies to:
x = 16
Therefore, the correct equation is 6(x − 8) = 48.
For which equation is the order of steps to first divide both sides by 2 and then to subtract 10 from both sides?(1 point)
The equation for which the order of steps is to first divide both sides by 2 and then subtract 10 from both sides is not provided in the options given. Could you please provide the available options or the equation you have in mind?
Responses 2x + 10 = 16 2 x plus 10 equals 16 10(x + 2) = 16 10 Left Parenthesis x plus 2 Right Parenthesis equals 16 2(x + 10) = 16 2 Left Parenthesis x plus 10 Right Parenthesis equals 16 2(x − 10) = 16
The equation for which the order of steps is to first divide both sides by 2 and then subtract 10 from both sides is:
2(x + 10) = 16
What is the solution of the equation −4(z + 12) = 36 when solving for z ? (1 point)
To solve the equation −4(z + 12) = 36 for z, we need to isolate the z term. Let's go through the steps:
−4(z + 12) = 36
First, distribute -4 to (z + 12):
-4z - 48 = 36
Next, we'll add 48 to both sides to isolate the z term:
-4z = 36 + 48
-4z = 84
Finally, divide both sides by -4 to solve for z:
z = 84 / -4
Simplifying the expression:
z = -21
Therefore, the solution to the equation −4(z + 12) = 36 is z = -21.