Linear Equations

# Linear Equations - c are real numbers and a ≠ 0 It is...

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Linear Equations Linear sentences in one variable may be equations or inequalities. What they have in common is that  the variable has an exponent of 1, which is understood and so never written (except for teaching  purposes). They also can be represented on a graph in the form of a straight line. An  equation  is a statement that says two mathematical expressions are equal. A  linear equation  in  one variable is an equation with the exponent 1 on the variable. These are also known as  first- degree equations , because the highest exponent on the variable is 1. All linear equations eventually  can be written in the form  ax  +  b  =  c , where  a b , and
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Unformatted text preview: c are real numbers and a ≠ 0. It is assumed that you are familiar with the addition and multiplication properties of equations. • Addition property of equations: If a , b , and c are real numbers and a = b , then a + c = b + c. • Multiplication property of equations: If a , b , and c are real numbers and a = b , then ac = bc . The goal in solving linear equations is to isolate the variable on either side of the equation by using the addition property of equations and then to use the multiplication property of equations to change the coefficient of the variable to 1....
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