3x - 4y = 11 ; y = -x+6 with substitution

(5, 1)

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 equations by substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x - 4y = 11

y = -x + 6

Step 2: Solve for x

Substitution

Substitute in y [1st Equation]:                                                                           3x - 4(-x + 6) = 11[Distributive Property] Distribute -4:                                                                3x + 4x - 24 = 11Combine like terms:                                                                                         7x - 24 = 11[Addition Property of Equality] Isolate x term:                                                7x = 35[Division Property of Equality] Isolate x:                                                         x = 5

Step 3: Solve for y

Substitute in x [2nd Equation]:                                                                        y = -5 + 6Add:                                                                                                                   y = 1

Just a second zzz