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Lerok [7]
3 years ago
5

Use substitution to solve the system 5x-3y=23 2x+y=7

Mathematics
1 answer:
Viefleur [7K]3 years ago
7 0
Because "y" is + in <span>2x+y=7, let's subtract 2x from both sides and end up with an expression for y:  y = 7 - 2x.  Substituting this into 5x - 3y = 23, 

5x - 3(7 - 2x) = 23.  Multiply out -3(7 - 2x):

5x - 21 + 6x = 23.  Combining 5x and 6x, 11x - 21 = 23, or 11x = 44.

Thus, x = 4.  Since y = 7 - 2x, subst. x = 4 results in the value of y:

y = 7 - 2(4) = 7 - 8 = -1.

The solution is (4,-1).</span>
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some friends went to a local movie theater and bought four large buckets of popcorn and six boxes of candy.The total for the sna
WARRIOR [948]

The total of 2 buckets of popcorn and 3 boxes of candy would be $23.25

To answer this question you need to form a set of simultaneous equations and solve them. We can do this by saying that a bucket of popcorn = P, and a box of candy = C. Then we can say:

4P + 6C = 46.50

P + C = 9.75

There are then two possible ways to solve; you can either say that C = 9.75 - P using the second equation and then substitute it into the first, or you can multiply the second equation by either 4 or 6 to cancel out P or C.

I’m going to multiply the second equation by 4:

4P + 4C = 39

Now we can subtract this for, the first equation:

4P + 6C = 46.50

4P + 4C = 39

2C = 7.50

C = 3.75

Now we can substitute this value of C into one of the equations to find P:

P + C = 9.75

P + 3.75 = 9.75

P = 6

And now to answer the question, you just multiply P by 2 and C by 3 and add them together, which gives you $23.25

I hope this helps! Let me know if you have any questions :)

6 0
3 years ago
Round 694,553 to the nearest hundred thousand.​
docker41 [41]

Answer:

pretty sure its 700,000

4 0
3 years ago
Four pets in “Among Us” cost $16. Mr. Maxine says, at that rate, he will be able to purchase all 10 pets for $35!!! Is he right?
Rus_ich [418]

Answer:

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7 0
3 years ago
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Neko [114]

Answer:

March is the first month

Step-by-step explanation:

If we make a graph. We can see that the quantity of sold water skis overpasses the quantity of snow skis in the month of March.

5 0
3 years ago
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Answer:

No

Step-by-step explanation:

$6 x 5 weeks = $30

$5 x 3 weeks = $15

$30+$15 = $45

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7 0
3 years ago
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