Y = -3x - 2 and 5x + 2y = 15

(-19, 55)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -3x - 2

5x + 2y = 15

Step 2: Solve for x

Substitution

Substitute in y:                     5x + 2(-3x - 2) = 15Distribute 2:                          5x - 6x - 4 = 15Combine like terms:            -x - 4 = 15Isolate x term:                      -x = 19Isolate x:                               x = -19

Step 3: Solve for y

Define original equation:                    y = -3x - 2Substitute in x:                                     y = -3(-19) - 2Multiply:                                                y = 57 - 2Subtract:                                               y = 55

Well in order to lose a pound you would have to burn 1,500 calories. the more calories you burn the more weight you lose. in order to lose 2 pounds you would have to run 4 hours and 28 minutes.