mgb5e_ppt_2_4

mgb5e_ppt_2_4 - 2.4 Solving Linear Equations Solving Linear...

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§ 2.4 Solving Linear Equations

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Martin-Gay, Beginning Algebra, 5ed 2 Solving Linear Equations Solving Linear Equations in One Variable 1) Multiply both sides by the LCD to clear the equation of fractions if they occur. 2) Use the distributive property to remove parentheses if they occur. 3) Simplify each side of the equation by combining all like terms. 4) Get all variable terms on one side and all numbers on the other side by using the addition property of equality. 5) Get the variable alone by using the multiplication property of equality. 6) Check the solution by substituting it into original equation.
Martin-Gay, Beginning Algebra, 5ed 3 30 10 9 3 + = + y y Simplify. 7 7 7 21 y = - Simplify; divide both sides by 7. y = - 3 Simplify both sides. Solving Linear Equations Example: Solve the equation. 3( 3) 2 6 5 y y + = + Add –3y to both sides. 30 10 9 3 + + = + + y y Simplify; add –30 to both sides. 30 7 9 + + = + y Multiply both sides by 5. ( 29 6 2 5 ) 3 ( 3 + = + y y

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Martin-Gay, Beginning Algebra, 5ed 4 – 0.01(5 a + 4) = 0.04 – 0.01( a + 4) Solving Linear Equations Multiply both sides by 100. Example: Solve the equation. – 1(5 a + 4) = 4 – 1( a + 4)

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mgb5e_ppt_2_4 - 2.4 Solving Linear Equations Solving Linear...

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