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elena55 [62]
3 years ago
15

What is the solution of the system of equations? 2x-y=7 Y=2x+3

Mathematics
1 answer:
Arturiano [62]3 years ago
4 0

Answer:

No solution

Step-by-step explanation:

2x -y =7

y= 2x +3

  1. Substitute the y value. <em>2x-(2x+3)=7 or 2x -2x-3=7 </em>
  2. Eliminate opposites <em>2x <u>-2x</u>-3=7 >>>> -3=7</em>
  3. Answer <em>-3= 7</em> ( false)
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Gina, Sam, and Robby all rented movies from the same video store. They each rented some dramas, comedies, and documentaries. Gin
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[Question 1]
let d = number of dramas Gina rented, c = # of comedies, and t = # of documentaries:

[equation a] d + c + t = 11
[equation b] 2d + 3c + 2t = 27
[equation c] d + 2c + 2t = 19

if we subtract [a] from [c] we get:
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if we subtract [c]*2 from [b] we get:
[equation e] -c - 2t = -11 or
[equation e] c + 2t = 11

Now we can subtract [e] from [d] to solve for t:
t = 3

Now put in 3 for t in [d] or [e] to solve for c:
c + 2(3) = 11
c + 6 = 11
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So she rented 5 comedies and 3 documentaries which leaves 3 dramas (which is answer A)
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