6x-5y=15 x=y+3 find x and y

(0, -3)

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 Subtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

6x - 5y = 15

x = y + 3

Step 2: Solve for y

Substitution

Substitute in x:                                                                                                  6(y + 3) - 5y = 15Distribute 6:                                                                                                    6y + 18 - 5y = 15Combine like terms:                                                                                        y + 18 = 15[Subtraction Property of Equality] Subtract 18 on both sides:                     y = -3

Step 3: Solve for x

Define original equation:                                                                               x = y + 3Substitute in y:                                                                                                   x = -3 + 3Add:                                                                                                                   x = 0

The slope of the function is 0.5.