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forsale [732]
3 years ago
14

Solve the following simultaneous equations : with the help of steps1. x + 2y = 1, 3x - y = 17​

Mathematics
1 answer:
IRISSAK [1]3 years ago
6 0

Answer:

x = 5, y = -2

Step-by-step explanation:

<u>Given equations:</u>

  • x + 2y = 1
  • 3x - y = 17​

<u>From the first equation we get:</u>

  • x = 1 -2y

<u>Substitute x in the second equation, find y:</u>

  • 3x - y = 17
  • 3*(1-2y) - y = 17
  • 3 - 6y - y = 17
  • -7y = 17 - 3
  • -7y = 14
  • y = -14/7
  • y = -2

<u>Find x:</u>

  • x = 1 - 2y
  • x = 1 - 2*(-2)
  • x = 1 + 4
  • x = 5
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Y is directly proportional to x when y=30, x=6
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Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

\therefore \:  y \:  \alpha \:  \: x \\ \therefore \:  y =  kx ...(1) \\ plug \: y = 30 \: and \: x = 6  \: in \: eq \: (1)\\ 30 = k \times 6 \\ k =  \frac{30}{6}  \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\  \huge \red{ \boxed{y = 60}}

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3 years ago
Please help me with this
elena-s [515]

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Lowest common multiple (LCM) of 6 and 4.

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Jay wants to buy 4 shirts which were originally priced at $15.95 each. He purchased the 4 shirts at a 20% off sale and pays a 6.
Murrr4er [49]

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The number of cars at a dealership dropped from 64 to 48 after a weekend sale.
tigry1 [53]

Answer: B. 25%

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Tems11 [23]

Answer:

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