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Varvara68 [4.7K]
2 years ago
13

Solve the equation 3x-y=28 3x+y=14

Mathematics
1 answer:
Elis [28]2 years ago
3 0

Answer:

  (x, y) = (7, -7)

Step-by-step explanation:

You can eliminate y by adding the two equations:

  (3x -y) +(3x +y) = (28) +(14)

  6x = 42 . . . . simplify

  x = 7 . . . . . . divide by 6

You can eliminate x by subtracting the two equations:

  (3x +y) -(3x -y) = (14) -(28)

  2y = -14 . . . . simplify

  y = -7 . . . . . . divide by 2

The solution is (x, y) = (7, -7).

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Please don't leave half an answer for the points!
vovikov84 [41]

Answer:

  1. T . . . labeling shown below
  2. U
  3. R
  4. S

Step-by-step explanation:

Matrix multiplication of A(a rows, b columns) and B(b rows, c columns) will result in a product matrix of AB(a rows, c columns). This fact can be used to reduce the number of candidates for each product.

For the given factor tiles, the resulting product dimensions will be ...

  [2, 3]  [3, 2]  [2, 2]   ⇒  Q, R, S

  [2, 3]  [3, 3]  [3, 2]   ⇒   T, U, V

  [3, 3]   ⇒   W

1. For this 2×3 product, candidates are Q and T. The upper left term for the product in Q is (2)(3) +(1)(7) +(0)(8) = 13. The appropriate choice is T.

2. For this 3×3 product, candidates are U and W. The upper left term for the product in U is 9(2) +1(2) +9(5) +5(1) = 18 +2 +45 +5 = 70. The appropriate choice is U.

3. For this 3×2 product, candidates are R and V. The upper left term for the product in R is 1(4) +2(0) +4(1) = 4 +0 +4 = 8. The appropriate choice is R.

4. For this 2×2 product, there is only one candidate: S.

5 0
2 years ago
Delia drives 220 km in 2 hours. Calculate her average speed in km/hrs.
alexira [117]
110 because avg speed is total distance over total time
8 0
2 years ago
WILL MARK AS BRAINLIEST PLEASE HELP!!!
neonofarm [45]

Step-by-step explanation:

2x = y-10

Rewrite as: 2x + 10 = y

Therefore:

2x+10 = y

2x +7 = 2y

Subtract the equations:

 2x + 10 = y

- 2x + 7 = 2y

______________

          3 = -y

Therefore y = -3

Substiture y = -3 into the second equation:

2x + 7 = 2(-3)

2x + 7 = -6

2x = -13

x= -6.5

Answer : (-6.5, -3)

3 0
3 years ago
Read 2 more answers
N-78+_=37_N= WHAT IS N?
Lesechka [4]
115 is n that’s the answer
5 0
3 years ago
A group of 72 children completed a survey on what kind of sport they like. The choices were: Chess, Swimming, and Football. Ever
Svetach [21]

Answer:

19/72

Step-by-step explanation:

To calculate the probability that a randomly-chosen child from this group likes either Chess or Swimming but not Football?

We already know the number that liked chess only which is 10, we have to solve for those that liked swimming only which is

8+7+16+x = 40

x which represent swimming only is

40-31 = 9

Thus probability = 10/72 + 9/72 = 19/72

3 0
3 years ago
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