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Learn how to solve a linear system by substitution, isolate variables, and check answers. Explore solving systems of equations graphically and solving systems of inequalities.
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Bell Work 2/6/15 Solve the system by substitution.
Yesterday’s Homework • Any questions? • Please pass your homework to the front. • Make sure the correct heading is on your paper. • Is your NAME on your paper? • Make sure the homework is 100% complete. • Incomplete work will NOT be accepted.
Heading 1/7/2020 Solving Systems by Substitution (not isolated) TSWBAT: solve a linear system by substitution when first having to isolate a term. Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.
Notes • Solving a System of Equations by Substitution 1. Solve one of the equations for x or y. - Get x or y by itself. 2. Substitute your new expression from Step 1 into the other equation and solve for the variable. 3. Plug that solved variable into the other equation from Step 1 and solve for the other variable. 4. Check your answers by plugging it into the original equations.
Notes Solve the system by substitution. Ex. 1) Solve for x or y. Step 3 2) Substitute into other equation. 3) Plug in answer into other equation. 4) Check answer!
Notes Now you try. Solve the system by substitution. Ex. 1) Solve for x or y. Step 3 2) Substitute into other equation. 3) Plug in answer into other equation. 4) Check answer!
Notes Solve the system by substitution. Ex. 1) Solve for x or y. Step 3 2) Substitute into other equation. 3) Plug in answer into other equation. 4) Check answer!
Notes Now you try. Solve the system by substitution. Ex. 1) Solve for x or y. Step 3 2) Substitute into other equation. 3) Plug in answer into other equation. 4) Check answer!
Summary • To solve a linear system by ___________ first ______ the easiest variable in one of the equations. Next plug that expression into the other ________ to solve for one variable. Finally plug that solution into any of the equations to find the other ________. • substitution • isolate • equation • variable
Today’s Homework • Rules for Homework • Pencil ONLY. • Must show all of your work. • NO WORK = NO CREDIT • Must attempt EVERY problem. • Always check your answers.
Homework 6.2B Solve the system by substitution.
Ticket Out the Door • Complete the Ticket Out the Door without talking!!!!! • Talking = time after the bell! • Put your NAME on the paper. • When finished, turn your paper face DOWN. • Solve the system by substitution.