Y = -3x + 10
Y = -2x + 6

The solution to this system is ( ? , ? )

(4, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -3x + 10

y = -2x + 6

Step 2: Solve for x

Substitution

Substitute in y:                         -3x + 10 = -2x + 6Add 3x on both sides:             10 = x + 6Isolate x:                                   4 = xRewrite:                                    x = 4

Step 3: Solve for y

Define equation:                    y = -2x + 6Substitute in x:                       y = -2(4) + 6Multiply:                                  y = -8 + 6Add:                                        y = -2