Answer:
infinitely many solutions
-3x + 7y = -16 . . . (1)
-9x + 5y = 16 . . . .(2)
(1) x 3 => -9x + 21y = -48 . . . (3)
(2) - (3) => -16y = 64 . . . (4)
Required equivalent system of equations is
-9x + 5y = 16
-16y = 64
Answer:
61 bags of lettuce
Step-by-step explanation:
Let's create two equations representing the cost of bags of lettuce:
Val's Veggies: 250 + 1.50x = V
Sally's Salads: 100 + 4.00x = S
If you buy 60 bags of lettuce from either store, the answers will be equivalent:
If x = 60
250 + 1.50x = V
250 + 90 = V
340 = V
100 + 4.00x = S
100 + 240 = S
340 = S
Now that both equations are equivalent, all we need to do to tip the balance and make Val's Veggies cheaper is purchase one more bag of lettuce:
x = 61
250 + 1.50x = V
250 + 91.50 = V
341.50 = V
100 + 4.00x = S
100 + 244 = S
344 = S
Since V represents the price of a bag of lettuce at Val's Veggies and V is now less than S (Sally's Salads), Val's Veggies is now the cheaper option.
Therefore, 61 bags of lettuce must be purchased in order for Val's Veggies to be the cheaper option.
I can help! Do you have an example problem that I can show you step by step?
Correct answer is B
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