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Sholpan [36]
3 years ago
7

3x + 4y = 27 5x - 3y = 16

Mathematics
2 answers:
maks197457 [2]3 years ago
5 0

Answer:

x = 5 , y = 3

Step-by-step explanation:

Solve the following system:

{3 x + 4 y = 27 | (equation 1)

5 x - 3 y = 16 | (equation 2)

Swap equation 1 with equation 2:

{5 x - 3 y = 16 | (equation 1)

3 x + 4 y = 27 | (equation 2)

Subtract 3/5 × (equation 1) from equation 2:

{5 x - 3 y = 16 | (equation 1)

0 x+(29 y)/5 = 87/5 | (equation 2)

Multiply equation 2 by 5/29:

{5 x - 3 y = 16 | (equation 1)

0 x+y = 3 | (equation 2)

Add 3 × (equation 2) to equation 1:

{5 x+0 y = 25 | (equation 1)

0 x+y = 3 | (equation 2)

Divide equation 1 by 5:

{x+0 y = 5 | (equation 1)

0 x+y = 3 | (equation 2)

Collect results:

Answer: {x = 5 , y = 3

Serhud [2]3 years ago
3 0

Answer:

The lines will cross at (5,3)

Step-by-step explanation:

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Please help me if you can. Please also write how you got the answer thank you.
vaieri [72.5K]

Answer:

The three numbers are 341, 342, and 343

Step-by-step explanation:

We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 1026. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 1026

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 1026

3X + 3 = 1026

3X + 3 - 3 = 1026 - 3

3X = 1023

3X/3 = 1023/3

X = 341

Which means that the first number is 341, the second number is 341 + 1 and the third number is 341 + 2. Therefore, three consecutive integers that add up to 1026 are 341, 342, and 343.

341 + 342 + 343 = 1026

We know our answer is correct because 341 + 342 + 343 equals 1026 as displayed above.

6 0
2 years ago
AM MARKING BRAINIEST!!!
xxMikexx [17]

Answer:

1.25

Step-by-step explanation:

3.75 divided by 3 = 1.25

5 0
3 years ago
Read 2 more answers
0.5 ft
algol13

Answer:

Huh I don’t understand this one but I got you

Step-by-step explanation:

5 0
3 years ago
What is m in this question
solmaris [256]
-16 because you need to subtract -4 from -12
7 0
3 years ago
Please help me solve for X​
Akimi4 [234]

Step-by-step explanation:

According to the given diagram,

By exterior angle property,

x=46°+30°

x=76°

4 0
3 years ago
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