Substation method
3x + 4y=-22
7x+y=7

(2, -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

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -22

7x + y = 7

Step 2: Rewrite Systems

7x + y = 7

Subtract 7x on both sides:                    y = 7 - 7x

Step 3: Redefine Systems

3x + 4y = -22

y = 7 - 7x

Step 4: Solve for x

Substitution

Substitute in y:                        3x + 4(7 - 7x) = -22Distribute 4:                             3x + 28 - 28x = -22Combine like terms:                -25x + 28 = -22Subtract 28 on both sides:     -25x = -50Divide -25 on both sides:       x = 2

Step 5: Solve for y

Define equation:                     7x + y = 7Substitute in x:                        7(2) + y = 7Multiply:                                   14 + y = 7Subtract 14 on both sides:      y = -7