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Tamiku [17]
3 years ago
6

Determine the solution to the system of equations below: y = -3x + 6 and 3y = -2x - 3

Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0

Answer:

x = 3

y = -3

Step-by-step explanation:

We have two equations and are asked to solve for x and y.

y = -3x + 6

3y = -2x - 3

Substitute the y in the first equation in the second equation :

3(-3x + 6) = -2x - 3

Distribute :

-9x + 18 = -2x - 3

Solve for x by isolating it :

Subtract 18 from both sides :

-9x = -2x - 21

Add 2x to both sides :

-7x = -21

Divide -7 from both sides :

x = 3

Replace x in the first equation :

y = -3(3) + 6

y = -9 + 6

-9 + 6

y = -3

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Ilya [14]

The probabilty that he will score on two consecutive shots if the probability that his shot will score in a lacrosse game is 0.30 be 0.09.

Given that the probability that his shot will score in a lacrosse game is 0,30.

We are required to find the probability that he will score on two consecutive shots.

Probability is basically the calculation of likeliness of happening an event among all the events possible. It lies between 0 and 1.

Probability=Number of items/Total number of items.

Probabilty that he will score consecutively two times=Probability that he will hit one time*Probability that he will hit one time

=0.30*0.30

=0.09

Hence the probabilty that he will score on two consecutive shots if the probability that his shot will score in a lacrosse game is 0.30 be 0.09.

Learn more about probability at brainly.com/question/24756209

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5 0
2 years ago
Find the area of a square<br> with the 685 width and 685 length​
ELEN [110]

Answer:

469,225

Step-by-step explanation:

685² = 469,225

I hope this helps!

4 0
2 years ago
Angela is going on vacation to Mexico. She needs to buy new shirts for her trip. She buys 10 new shirts that cost her a total of
choli [55]

Angela bought 4 casual shirts, and 6 dressy shirts.

To find this, I used the equation ($18c) + ($25d) = $222, and filled in for c (casual) and d (dressy) until the outcomes were the same. Filling in for c and d, you'll get ($18 * 4) + ($25 * 6) = $222. Solving both sides, you'll get $72 + $150 = $222 or $222 = $222. Thus meaning she bought 4 casual shirts and 6 dressy shirts,

I hope this helps!

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3 years ago
Lauren made the plan shown for proving that quadrilateral ABCD with
ch4aika [34]

Answer:


Step-by-step explanation:

It is given that the quadrilateral ABCD has AB ≅ CD and BC ≅ DA is a parallelogram, then in order to prove opposite angles of the parallelogram are equal, we take ΔABC and ΔADC,

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Thus, by SSS rule, ΔABC ≅ ΔADC

By CPCT, ∠B=∠C

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3 years ago
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IrinaK [193]

Answer:

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I hope you find this information useful and interesting! Good luck!

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