Solve the system of equations by substitution:

y=4x-10
y=x+2

Plug in x + 2 for y
x + 2 = 4x - 10
Subtract x
2 = 3x - 10
Add 10, 12 = 3x, x = 4
Plug into second equation
y = 4 + 2, y = 6
Solution: x = 4, y = 6... or (4,6)

(4, 6)

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 = 4x - 10

y = x + 2

Step 2: Solve for x

Substitution

Substitute in y:                           4x - 10 = x + 2Subtract x on both sides:          3x - 10 = 2Add 10 on both sides:                3x = 12Divide 3 on both sides:             x = 4

Step 3: Solve for y

Define equation:                     y = x + 2Substitute in x:                        y = 4 + 2Add:                                         y = 6