By looking at a graph, name the three types of solutions that you can have in a system of equations....

By looking at a graph, name the three types of solutions that you can have in a system of equations.

Groupwork graded Groupwork worksheet 1-14Work on this while I check the homework

Let’s get practice using the equations from the homework and using the graphing calculator

Directions:Y = Y = Graph2nd, CALC, 5, ENTER, ENTER, ENTERWrite down the ordered pair

Warm up

Chapter 3 Section 2

1.) Multiply one or both equations to make the coefficients of one of the variables to be the same (one positive, one negative)

2.) Add the 2 equations by combining the like terms. (one of the variables will be eliminated)

3.) Solve for the remaining variable 4.) Substitute the answer you found in

step 3 into one of the original equations to find the other variable

1.) x +y = 3 2x -3y = 1

2.) 2x – 4y = 13 4x – 5 y = 8

3.) 3x – y = 13 2x + 2y = -10

Practice

Graphing Calculator

4.) 7x – 12y = -22 -5x + 8y = 14

5.) 9x – 5y = - 7 -6x +4y = 2

6.) x – 2y = 3 2x – 4y = 7

Whiteboards practice!!!!

1.) Solve one of the equations for one of its variables.

2.) Substitute the expression from Step 1 into the other equation for the appropriate variable (Hint: you should now have only 1 variable)

3.) Solve the equation for the variable remaining

4.) Substitute the answer you found in step 3 into one of the original equations to find the other variable

1.) 3x + 4y = -4 x + 2y = 2

2.) 3x – y = 13 2x + 2y = -10

3.) -x + 3y = 1 4x + 6y = 8

Pg 152 # 4-6

Pg 152-153 # 11-16, 38-40