Question

Solve the given system by substitution.

Answer 1

Answer:

(-2/3, -23/3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. 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

1. Add q on both sides:                    p = q + 7

Step 3: Redefine Systems

-4p + q = -5

p = q + 7

Step 4: Solve for q

Substitution

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

Step 5: Solve for p

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

Answer 2

-4(2) + 3 = -5
8 - 1 = 7