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You cannot change two existing, completed equations so that they are equal to each other. However, when working with two equations, you may set them equal to each other to solve a system of equations. An example is the system of 2x+5y=103x-5p=10 You may now combine the two, as they both are equal to ten. This results in the eqation of 2x+5y=3x-5p You may simplify this to 5y=x-5p This brings you one step closer to solving, and one may complete the system with some additional information.
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How can you solve problems involving equivalent expressions?
In the same way that you would solve equations because equivalent expressions are in effect equations
What is a statement that two numberical or variable expressions are equal?
equivalent equations
What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
What are the advantages of using equations?
Equations make complicated math procedures easier to accomplish and simpler to understand.
What is the difference between equivalent expressions and equivalent equations?
An expression does not equate to anything. An equation is equal to something. Expression: x+2 Equation: x+4=2x Equivalent expressions: x+2 and 2x-2 if x=4 Equivalent equations: x+4=2x and -x+10=2x if x=4
