SECONDARY ONE 6.1a Using Substitution to Solve a System.

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Transcript of SECONDARY ONE 6.1a Using Substitution to Solve a System.

Page 1: SECONDARY ONE 6.1a Using Substitution to Solve a System.

SECONDARY ONE 6.1a Using Substitution to Solve a System

Page 2: SECONDARY ONE 6.1a Using Substitution to Solve a System.

HOW TO CHANGE AN EQUATION SO IT HAS NO FRACTIONS

Multiply everything by the common denominator of the fractions.

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HOW TO CHANGE AN EQUATION SO IT HAS NO DECIMALSMultiply each number by 10, 100, or 1000, … so there are no numbers behind a decimal.

0.3y = 2 – 0.8x 1.1x = 3y – 0.4

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4 STEPS TO SOLVE A SYSTEM BY SUBSTITUTION

1. Solve one of the equations for one of its variables. 2. Substitute the expression from step 1 into the other equation and solve.

3. Substitute the value from step 2 into the equation form step 1 and solve.

4. Check the solution in each of the original equations.

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SOLVE BY SUBSTITUTION y = x + 1 2x + y = -2

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SOLVE BY SUBSTITUTION 2x + 2y = 3 x = 4y - 1

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SOLVE BY SUBSTITUTION 2x+y=9 y=5x+2

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SOLVE BY SUBSTITUTION