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Paraphin [41]
4 years ago
11

Hi.

Mathematics
1 answer:
pickupchik [31]4 years ago
3 0

Answer: 41. A) 0      42. B) 1/12       43. B) 16

<u>Step-by-step explanation:</u>

The pattern is: multiply the bottom row and subtract the top number.

Sample: 3 x 2 - 5 = 1

              5 x 3 - 6 = 9

              2 x 1 - 1 = 1

41) 7 x 13 - x = 91

         91 - x = 91

                x = 0

42)   1/2 x 1/2 - 1/6 = x

             1/4    - 1/6 = x

          3/12 - 2/12 = x

                     1/12 = x

Check the fractions. I had to guess what the denominators are because the image is blurry.                          

43)  8 x 3 - 8 - x

          24 - 8 = x

                16 = 0

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vladimir2022 [97]

Answer:

The solution of the system is (5, 20).

Step-by-step explanation:

y = 4x and 3x + 2y = 55 are simultaneous equations. To find the unknowns, we have to solve these equations simultaneously.

The first can be rewritten as

4x – y = 0.

Therefore, we have:

4x – y = 0

3x + 2y = 55

Multiplying the first equation by 2 all through, we have

8x – 2y = 0.

So we can now combine the second equation with the first multiplied by 2.

8x – 2y = 0

3x + 2y = 55

Adding these equations we have:

11x = 55

Divide both sides by 11 and we have

x = 5

Substitute x = 5 in equation 1, we have

4(5) – y = 0

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Therefore, x = 5 and y = 20.

The solution of the system is (5, 20).

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