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Sec 1.3 Solve Linear Equations
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581lF87NqIzWaILR6I3aaIzmKI/uqI9yKJAa0o8KaZAecmKR5pyREqmSJimTIqmT4uiQNimUHumU LumT6iiVYqmVVmnDZJVQPANsMmXu4dmYOkOZnql6pimZqqmZsimarimctmmcvqmc1imd3mmakkJ1 hUhfBmafCqafDuafDqqgFmqgHiqgJiqhIuqiKqqhAmpAAAA7 ------=_NextPart_01C90E9D.21DFF6F0 Content-Location: file:///C:/EC8252A1/Ch1Sec33A_files/slide0003.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Ch 1 Sec 3
Goals
nGoal 1: To solve linear equations
nGoal 2: To use linear equations= to solve real-life problems
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Definition
nAn equation is a statement in which two expressions are equal.
nA linear equation in= one variable is an equation that can be written in the form ax =3D b where a and b are constants and  a ¹ 0.
nA number is a solution of an equation if the statement is true when the number is substituted for the variable.
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Definition
nTwo equations are  equivalent <= span style=3D'position:absolute;top:33.72%;left:4.5%;width:95.49%;height:34.88%= '>equations if they have the same solutions.
nWe solve equations by changing the= m = to simpler equivalent equations.
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Transformations That Produce Equiv= alent Equations
<= span class=3DBB style=3D'position:absolute;left:-4.1%;top:.61em'>nAdditi= on Property of Equality - Add the same number to both sides
<= span class=3DB1B style=3D'position:absolute;left:-4.23%;top:.74em'>nIf a= =3Db, then a+c =3D b+c.
<= span class=3DBB style=3D'position:absolute;left:-4.71%;top:.61em'>nSubtr= action Property of Equality - Subtract the same number from both = sides
<= span class=3DB1B style=3D'position:absolute;left:-4.23%;top:.74em'>nIf a= =3Db, then a - c =3D b - c.
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Transformations That Produce Equiv= alent Equations
<= span class=3DBB style=3D'position:absolute;left:-4.52%;top:.61em'>nMulti= plication Property of Equality - Multiply both sides by the same non= zero number
<= span class=3DB1B style=3D'position:absolute;left:-4.23%;top:.74em'>nIf a= =3Db and c¹0, then ac = =3D bc.
<= span class=3DBB style=3D'position:absolute;left:-4.33%;top:.61em'>nDivis= ion Property of Equality - Divide both sides by the same nonzero number
<= span class=3DB1B style=3D'position:absolute;left:-4.23%;top:.74em'>nIf a= =3Db and c¹0, then a÷c =3D b÷c.
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Example 1 Solve (Variable= on One Side)
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Example 2 Solve (Variable= on Both Sides)
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