I'm confused with transitive property, substitution postulate, addition postulate, and subtraction postulate. What are they? and What are the differences between them?
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http://library.thinkquest.org/2647/algebra/post.htm
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if x =3 and y= -4, find the value of 8x - 10y
if x =3 and y= -4, find the value of 8x - 10y
The transitive property, substitution postulate, addition postulate, and subtraction postulate are principles or rules used in algebra to solve equations and make logical deductions. Here's an explanation of each:
1. Transitive Property: This property states that if two quantities are equal to a third quantity, then they are equal to each other. In other words, if a = b and b = c, then a = c. The transitive property allows you to make substitutions in equations or inequalities.
2. Substitution Postulate: The substitution postulate states that you can replace a quantity in an equation or inequality with an equivalent quantity and the equation or inequality will still hold true. It allows you to substitute known values or expressions into equations to find unknowns.
3. Addition Postulate: The addition postulate states that if two equal quantities are added to the same quantity, then the sums are equal. In other words, if a = b, then a + c = b + c. This postulate allows you to add or subtract the same value on both sides of an equation.
4. Subtraction Postulate: The subtraction postulate is similar to the addition postulate but deals with subtraction instead. It states that if two equal quantities are subtracted from the same quantity, then the differences are equal. In other words, if a = b, then a - c = b - c. This postulate allows you to subtract or add the same value on both sides of an equation.
To find the value of 8x - 10y when x = 3 and y = -4, we can substitute the given values into the expression:
8x - 10y = 8(3) - 10(-4)
= 24 + 40
= 64
Therefore, the value of 8x - 10y, when x = 3 and y = -4, is 64.