Warm Up Solve for 3x + 2(x – 1), when x = 3

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Presentation transcript:

Warm Up Solve for 3x + 2(x – 1), when x = 3 Solve the linear system by graph and check method. 3x + y = 5 2x – y = 10

7.2 Solving Linear Systems by Substitution Algebra 1 7.2 Solving Linear Systems by Substitution

Substitution Method 3x + y = 5 2x – y = 10

Substitution Method x = 2y 2x + 6y = 15

Which variable do we solve for? 3x – y = -9 2x + 4y = 8 x + 3y = -11 2x – 5y = 33 x – 3y = 0 y – 2x = 10

Which variable do we solve for? When using substitution, you will get the same solution whether you solve for y first or x first. You should begin by solving for the variable that is easier to isolate (usually the variable that has a coefficient of 1).

Use substitution to solve the linear system. Practice Examples Use substitution to solve the linear system. 2x + y = 4 -x + y = 1 3x – y = 0 5y = 15

Write and Use a Linear System In one day a movie theater collected $4275 from 675 people. The price of admission is $7 for an adult and $5 for a child. How many adults and how many children were admitted to the movie theater that day?