Solve the equation by subsitiution
x+7y=-2
3x+y=34

(12, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)Terms/CoefficientsSolving systems of equation using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x + 7y = -2

3x + y = 34

Step 2: Rewrite Systems

x + 7y = -2

[Subtraction Property of Equality] Subtract 7y on both sides:                       x = -2 - 7y

Step 3: Redefine Systems

x = -2 - 7y

3x + y = 34

Step 3: Solve for y

Substitution

Substitute in x [2nd Equation]:                                                                         3(-2 - 7y) + y = 34[Distributive Property] Distribute 3:                                                                 -6 - 21y + y = 34[Addition] Combine like terms:                                                                        -6 - 20y = 34[Addition Property of Equality] Add 6 on both sides:                                    -20y = 40[Division Property of Equality[ Divide -20 on both sides:                              y = -2

Step 4: Solve for x

Substitute in y [1st Equation]:                                                                           x + 7(-2) = -2Multiply:                                                                                                             x - 14 = -2[Addition Property of Equality] Add 14 on both sides:                                   x = 12

X = 12! Hope this helps

The answer is poppy pants69