Answered

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Steps to Solve an Equation:

1. Isolate the variable.
2. Use inverse operations.
3. Maintain equality.

Example:
Solve for the unknown.
a + 15 = 10

Sagot :

GinnyAnswer
Sure! Let's go through the detailed steps to solve the equation [tex]\( a + 15 = 10 \)[/tex].

### Step 1: Isolate the variable
To solve for [tex]\( a \)[/tex], we need to isolate it on one side of the equation. Currently, [tex]\( a \)[/tex] is on the left side and it is being added to 15.

### Step 2: Use inverse operation
To isolate [tex]\( a \)[/tex], we should undo the addition of 15. The inverse operation of addition is subtraction. Therefore, we should subtract 15 from both sides of the equation to maintain the equality.

Original equation:
[tex]\[ a + 15 = 10 \][/tex]

Subtract 15 from both sides:
[tex]\[ a + 15 - 15 = 10 - 15 \][/tex]

### Step 3: Simplify
After performing the subtraction on both sides, we get:

[tex]\[ a = 10 - 15 \][/tex]

Now, we simply calculate the right-hand side:

[tex]\[ a = -5 \][/tex]

### Solution
The value of [tex]\( a \)[/tex] that satisfies the equation [tex]\( a + 15 = 10 \)[/tex] is:

[tex]\[ a = -5 \][/tex]

This is the step-by-step solution to isolate the variable and solve the equation.
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