Solve the given system by substitution.

(-2/3, -23/3)

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

-4p + q = -5

p - q = 7

Step 2: Rewrite Systems

p - q = 7

Add q on both sides:                    p = q + 7

Step 3: Redefine Systems

-4p + q = -5

p = q + 7

Step 4: Solve for q

Substitution

Substitute in p:                    -4(q + 7) + q = -5Distribute -4:                        -4q - 28 + q = -5Combine like terms:            -3q - 28 = -5Isolate q term:                     -3q = 23Isolate q:                              q = -23/3

Step 5: Solve for p

Define equation:                    p - q = 7Substitute in q:                       p - (-23/3) = 7Simplify:                                  p + 23/3 = 7Isolate p:                                 p = -2/3