Use the property of subtraction to solve for x. [tex]x+9=14[/tex]
Answer (2)
Start with the equation x + 9 = 14 .
Subtract 9 from both sides: x + 9 − 9 = 14 − 9 .
Simplify the equation: x = 14 − 9 .
Calculate the value of x : x = 5 .
Explanation
Understanding the Problem We are given the equation x + 9 = 14 and we want to solve for x using the subtraction property of equality. This property states that if we subtract the same number from both sides of an equation, the equation remains balanced.
Applying Subtraction Property of Equality To isolate x , we need to subtract 9 from both sides of the equation: x + 9 − 9 = 14 − 9
Simplifying the Equation Now, we simplify both sides of the equation: x = 14 − 9
Calculating the Value of x Finally, we perform the subtraction to find the value of x : x = 5
Examples
Imagine you're sharing a pizza with friends. The pizza has 14 slices, and you want to make sure everyone gets a fair share. If you start with 14 slices and then 9 slices are taken, you can use subtraction to figure out how many slices are left. In this case, 14 − 9 = 5 slices. This simple subtraction problem helps you determine the remaining amount, ensuring everyone gets their fair share.
To solve the equation x + 9 = 14 , subtract 9 from both sides using the property of subtraction, resulting in x = 5 .
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