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 minus 8 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
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
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) 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 2 Left Parenthesis x minus 10 Right Parenthesis equals 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
To determine the equation for which the order of steps is to first divide both sides by 6 and then add 8 to both sides, we need to look for an equation that has the steps performed in the correct order.
Let's consider the given options:
1) 8(x - 6) = 48
2) 6(x - 8) = 48
3) 6(x + 8) = 48
4) 6x - 8 = 48
For option 1, the equation is already in the correct form, so no further steps are required.
For option 2 and option 3, the first step required is to divide both sides by 6. Therefore, they do not follow the correct order of steps.
Option 4 is the correct equation because the first step is to divide both sides by 6. Dividing both sides by 6, we get:
(6x - 8) / 6 = 48 / 6
Simplifying this, we have:
x - (8 / 6) = 8
Now, the second step is to add 8 to both sides:
x - (8 / 6) + 8 = 8 + 8
Simplifying further, we get:
x - 4/3 + 8 = 16/3
Combining like terms, we have:
x + 20/3 = 16/3
Finally, subtracting 20/3 from both sides, we obtain:
x = -4/3
Therefore, the correct equation that follows the order of steps to first divide both sides by 6 and then add 8 to both sides is 6x - 8 = 48.