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fenix001 [56]
2 years ago
6

Solve the simultaneous equation 2x+4y=1 3x+5y=7b

Mathematics
1 answer:
Lyrx [107]2 years ago
8 0

Step-by-step explanation:

  • 3x+5y=7b equation 1
  • 2x+4y=1

2x=-4y+1

  • x=(-4y+1)/2
  • x=(-4y+1)/2 in equation 1

3×(-4y+1)/2+5y=7b

(-12y+3)/2+5y=7b

(-12y+3+10y)/2=7b

(-12y+3)/2=7b

-12y+3=14b

-12y=14b-3

  • y=3-14b/12
  • y=3-14b/12 in x=(-4y+1)/2

x=(-4×{3-14b/12}+1)/2

x=(-3+14b)/3+1/2

x=14b/3×1/2

  • x=7b/3
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Answer:

55 degrees and 125 degrees

Step-by-step explanation:

Supplementary means that they add up to 180.

x + y = 180

Let's let x be the larger angle.

x = 15 + 2y

The above equation comes from the information given, that it's 15 more than twice the smaller angle.

Now let's use substitution.

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The smaller angle is 55. Plug this back in to the first equation to get x.

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Now that you have both, test them again just to be sure that they fit the given conditions.

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