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PSYCHO15rus [73]
3 years ago
10

Solve the simultaneous equation 3x + y = 8 x - 3y = 11

Mathematics
1 answer:
podryga [215]3 years ago
7 0

Answer:

x = 7 / 2, y = - 5 / 2

Step-by-step explanation:

3x + y = 8 ------> equation 1

3 ( 3x + y = 8 )

9x + 3y = 24 ------> equation 2

x - 3y = 11 ------> equation 3

Add equations 2 & 3,

9x + 3y = 24

x - 3y = 11

_________

10x + 0 = 35

10x = 35

x = 35 / 10

x = 3.5

Substitute x = 3.5 in equation 1,

3x + y = 8

3 ( 3.5 ) + y = 8

10.5 + y = 8

y = 8 - 10.5

y = - 2.5

x = 3.5

= 35 / 10

x = 7 / 2

y = - 2.5

= - 25 / 10

y = - 5 / 2

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You have no idea how much it would mean to me and make my day if you helped me with this question ! :)
rodikova [14]
So to do this, you would use the formula: 

Number of favorable outcomes
________________________

Total number of outcomes.


In the first question you are asked: Probability of an even number being spun. We can see that there are 4 even numbers, which is our favorable outcome and that over the number of outcomes, which is 8, would be 4/8 = 0.5 or 50%. Therefore the answer to #1 is 0.5 as a decimal or 50% as a percent. (Do it the way the directions tell you to).

In the second question you are asked the probability to spin a number greater than 3. This does not include 3, so you have 4, 5, 6, 7, and 8. That is 5 numbers. 5 numbers divided by the total number of outcomes is 5/8, which is equal to 0.625, or 62.5%. Therefore the answer to #2 is 0.625 as a decimal or 62.5% as a percent.

The third question asks for the probability that an odd number would be spun. We can see the odd numbers are: 1,3,5,7. This is 4 favorable outcomes divided by 8, the total number of outcomes. 4/8 is equal to 0.5 or 50%. Therefore the answer to #3 is 50% as a percent or 0.5 as decimal.

Hope this helps. Please rate, leave a thanks, and mark a brainliest answer. (Not necessarily mine). Thanks, it really helps!

8 0
3 years ago
Show that (x-5) is a factor of x^3-3x^2-13x+15
mario62 [17]

Answer:

sorry not in that grade

Step-by-step explanation:

6 0
3 years ago
6 Jenna bought n notebooks which cost 5 dollars each, and 3 pens which cost r dollars each. How much money did she spend?
lana66690 [7]
The answer should be 5n+3r
8 0
3 years ago
What is the unit rate for You create 18 centerpieces for a party in 6 hours. ​
Snezhnost [94]

Answer: The unit rate is 3 centerpieces per hour

Step-by-step explanation:

18centterpieces/6hrs =3

8 0
3 years ago
Figure LMNO is a parallelogram.
hodyreva [135]

Answer:

180 degrees

Step-by-step explanation:

Two angles are supplementary when they add up to 180 degrees. Therefore, the sum of Angle L and M's measures is equal to 180°.

6 0
3 years ago
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