Ludovica creates flashcards for her vocabulary words. she creates 3 more cards per verb than per noun. ludovica creates 2 fewer than twice as many flashcards per verb as she creates per noun.
how many flashcards does ludovica create per noun and how many per verb?

5 per noun, 8 per verb

Step-by-step explanation:

start by defining what each variable is

v = n+3

v = 2n-2

substitute v for one of the equations above

n+3 = 2n-2

subtract n from both sides

3 = n-2

add 2 to each side

5 = n

so there are 5 flashcards per noun

substitute 5 in for n in both equations

v = 5+3

and

v = 2(5)-2

solve both equations

v = 8 and v = 8

so there are 8 flashcards per verb

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)