Solve the following system of equations and show all your work y=2x^2 y=3x-1

( 1/2 ; 1/2 ) and ( 1 ; 2 )

Step-by-step explanation:

y = 2x²1

y = 3x-12

2x²=3x-1

2x²-3x+1 = 0

(2x-1)(x-1) = 0

x = 1/2 or x = 1

y = 1/2 or y = 2

42

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

2x³ - x² - 4x + 9

x = 3

Step 2: Evaluate

Substitute in x:                    2(3)³ - 3² - 4(3) + 9Exponents:                          2(27) - 9 - 12 + 9Multiply:                               54 - 9 - 12 + 9Subtract:                              45 - 12 + 9Subtract:                              33 + 9Add:                                     42