Could you reasonably use the Subtraction Property of Equality as justification when solving 8 x-3=29 ? Explain, then solve the equation.
yes. subtract -3 from both sides, and you have
8x = 32
To determine if the Subtraction Property of Equality can be used to solve the equation 8x - 3 = 29, we first need to understand what the Subtraction Property of Equality states. The Subtraction Property of Equality says that if you subtract the same value from both sides of an equation, the equation remains true.
In this equation, we have 8x - 3 on one side and 29 on the other side. To isolate the variable x, we want to get rid of the constant term (-3) on the left side. To do that, we can use the Subtraction Property of Equality to subtract -3 from both sides of the equation.
By subtracting -3 from both sides, we have:
8x - 3 - (-3) = 29 - (-3)
Simplifying the equation, we get:
8x = 32
Now, the equation is simplified to 8x = 32, where x is being multiplied by 8. To solve for x, we can use the Division Property of Equality, which states that if you divide both sides of an equation by the same value, the equation remains true.
Dividing both sides of the equation by 8, we have:
8x/8 = 32/8
Simplifying further, we get:
x = 4
Hence, the solution to the equation 8x - 3 = 29 is x = 4. We were able to use the Subtraction Property of Equality to simplify the equation before applying the Division Property of Equality to solve for x.