PLSS HELP Solve each system using SUBSTITUTION. Remember to check!

2) y = –2x – 1

y = 3x – 16

(3, -7)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define Systems

y = -2x - 1

y = 3x - 16

Step 2: Solve for x

Substitution

Substitute in y:                     -2x - 1 = 3x - 16Add 2x on both sides:         -1 = 5x - 16Add 16 on both sides:         15 = 5xDivide 5 on both sides:       3 = xRewrite:                                x = 3

Step 3: Solve for y

Define equation:                    y = -2x - 1Substitute in x:                       y = -2(3) - 1Multiply:                                  y = -6 - 1Subtract:                                 y = -7

Step 4: Graph Systems

We can check the solution set to the systems of equations.

Where the 2 lines intersect is the solution set to the systems of equations.

The 2 lines and our algebraically solved solution sets are the same.

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.