Solving Systems of Equations Substitution Method Warmup Problems

Solving Systems of Equations Substitution Method

Warm-up Problems

Essential Question Describe in your own words how to solve a system of linear equations using substitution.

Activator: Solving for y and x. Ex. 1 1) Write the equation in terms of y. - 4 x + 2 y = 12 2) Write the equation in terms of x. 3 x + 5 y = 12

Ex. 1 Substitution: Solve for y first Solve the linear system. Check your solution. -x+y=1 2 x + y = – 2

Ex. 2 Substitution: Solve for x first Solve the linear system. Then check your solution. 2 x + 2 y = 3 x – 4 y = - 1

Class Discussion Substitution Method Name the variable you would solve for first. Explain. 3 x – y = – 9 2 x + 4 y = 8 x + 3 y = – 11 2 x – 5 y = 33 x – 3 y = 0 x – 2 y = 10

Checkpoint Substitution Method Solve the system of equations using substitution. 1. 3 x – y = – 9 2 x + 4 y = 8 2. x + 3 y = – 11 2 x – 5 y = 33 3. x – 3 y = 0 x – 2 y = 10

Ex. 3 Write and Use a Linear System MUSEUM ADMISSIONS In one day the National Civil Rights Museum in Memphis, Tennessee, admitted 321 adults and children and collected $1590. The price of admission is $6 for an adult and $4 for a child. How many adults and how many children were admitted to the museum that day?

Checkpoint 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?

Solving Systems of Equations Substitution Method Summarizing

Exit Ticket 3. Either solve the problem below or answer today’s essential question in full.