If 10x + w = 41 and w = 1, then 10x + 1 = 41.
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1 point
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Distributive Property
Substitution Property
Reflexive Property
Symmetric Property
Transitive Property
Substitution Property
Substitution Property of Equality.
To solve the equation 10x + w = 41 with w = 1, we need to substitute the value of w into the equation.
The Substitution Property states that if two quantities are equal, then one quantity can be substituted for the other in any expression.
In this case, we know that w = 1. So, we substitute the value of w into the equation:
10x + 1 = 41
Now, we have a simplified equation where we only have one variable, x. We can solve for x by isolating it on one side of the equation.
To do that, we can start by subtracting 1 from both sides of the equation to move the constant term to the other side:
10x + 1 - 1 = 41 - 1
This simplifies to:
10x = 40
Now, we have an equation with only one variable. We can solve for x by dividing both sides of the equation by 10 using the Division Property of Equality:
10x/10 = 40/10
Simplifying further:
x = 4
Therefore, the solution to the equation 10x + w = 41, with w = 1, is x = 4.