For which equation is the order of steps to first divide both sides by 2 and then to subtract 10 from both sides?
The equation for which the order of steps is to first divide both sides by 2 and then subtract 10 from both sides can be represented by:
2x + 10 = 30.
To solve this equation, we will first divide both sides by 2:
(2x + 10)/2 = 30/2
x + 5 = 15.
Next, we will subtract 10 from both sides:
x + 5 - 10 = 15 - 10
x - 5 = 5.
The order of steps to first divide both sides by 2 and then subtract 10 from both sides is typically used for linear equations. It does not specifically apply to any particular equation. However, an example of a linear equation where the steps can be applied is:
2x + 10 = 30
In this equation, the steps would be:
Step 1: Divide both sides by 2
(2x + 10) / 2 = 30 / 2
x + 5 = 15
Step 2: Subtract 10 from both sides
(x + 5) - 10 = 15 - 10
x - 5 = 5
Therefore, the equation after dividing both sides by 2 and then subtracting 10 from both sides is x - 5 = 5.
To determine the equation for which the order of steps is to first divide both sides by 2 and then subtract 10 from both sides, we can follow these steps:
1. Start with a general equation: "Ax + B = C."
2. Divide both sides of the equation by 2: "(Ax + B) / 2 = C / 2."
3. Simplify the equation by dividing each term by 2: "Ax/2 + B/2 = C/2."
4. Subtract 10 from both sides of the equation: "Ax/2 + B/2 - 10 = C/2 - 10."
Based on these steps, the equation that matches the given order of steps is:
Ax/2 + B/2 - 10 = C/2 - 10