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3 years ago

Solve the system of equations by substitution. What is the product of x and y from the solution? 2x + 3y = 12 5x − y = 13

Mathematics

1 answer:

Darina [25.2K]3 years ago

5 0

2x + 3y = 12 (1st)

5x − y = 13 (2nd) ---> y = 5x - 13

Substitute y = 5x - 13 into (1st) equation

2x + 3(5x - 13) = 12

2x + 15x - 39 = 12

17x - 39 = 12

17x = 51

x = 3

substitute x = 7 into y = 5x - 13

y = 5x - 13

y = 5(3) - 13

y = 15 - 13

y = 2

Answer

solution x = 3 and y = 2

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Naddik [55]

Answer:

the linkage between both the number of months and the amount charged is proportional to both loans from Hank and Lynn.

Step-by-step explanation:

The relationship between the number of months and the total cost paid proportionally is shown below:-

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When Hank bought his car, he paid $2,000 in advance, and he needs to pay $200 each month.

Thus, forward to x months the total cost paid (C(h)) is

C(h) = 2000 + 200x ... (i)

So, that relationship is proportional, but not proportional directly.

When Lynn purchased her vehicle, she didn't pay any cash immediately front and she needs to pay $275 every month.

So, after x months the total amount paid (C(l)) is

C(l) = 275x ..... (ii)

This is, therefore, a direct proportionality that is also proportional.

Furthermore the linkage between both the number of months and the amount charged is proportional to both loans from Hank and Lynn.

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4 years ago

Chole spent a night at her friend's house. She left at 7.00pm . She soon came back home 12 hours later . How many total of hours

DIA [1.3K]

Ok so we have 7:00 pm and she spends 12 more hours over.
Now lets count up 12 hours
=19
You could also just do 7+12! :)
So therefore, she spend 19 hours had her friends house! :D
Hope this helps!

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4 years ago

Maria has eight black marbles, fourteen clear marbles, and twelve blue marbles in a bag. If she picks two marbles at random, wit

horrorfan [7]

Answer:

$\boxed{0.15}$

Step-by-step explanation:

Part 1: Solve for the total amount of marbles

To solve for the probability of certain events, a population is needed to derive this information from. In order to find this population, add up the amounts of each marble.

8 + 14 + 12 = 34 marbles

Part 2: Determine the probabilities

Now, given the amounts of marbles, simply multiply the ratios of blue marbles to total marbles and the ratio of clear marbles to total marbles to get the combined probability.

$\frac{12}{34}*\frac{14}{33} = \frac{28}{187} \approxeq 0.1497 \approxeq 0.15 * 100 = 15$

The probability of these events occurring simultaneously is 15%.

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3 years ago

Order the group of quadratic functions from widest to narrowest graph <br> y=3^2, y=5^2, y=7^2

Sedbober [7]

Y = 7^2
y = 5^2
y = 3^2

if wide is the greatest and narrow means smallest then i hope its right

Ur Welcome and if its wrong plz let me know and i will fix it,
xXharleyquinn04Xx

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3 years ago

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Answer:

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