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tej18

  • 2 years ago

[6.03] What is the value of the y variable in the solution to the following system of equations? 2x + y = 5 x + 3y = 0 −1 1 3 −3

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  1. tej18
    • 2 years ago
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    i really need help :0

  2. abayomi12
    • 2 years ago
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    Let x = xylophones and y = yachts. Fred is buying xylophones and yachts. He does not pay attention to how much each costs, rather he just pays for all of them in one go. When he visits the shop on Monday, he buys two xylophones and one yacht for a total price of $9. He then thanks the salesman and goes home. The next day he buys three xylophones and four yachts for a total price of $26. Fred is now deeply curious as to how much his xylophones and yachts would have cost him individually, so he sets up a set of simultaneous equations in an attempt to find an answer to the ultimate question... 2x + y = 9 3x + 4y = 26 Transpose equation 1 and substitute into 2: y = 9 - 2x 3x + 4(9 - 2x) = 26 3x + 36 - 8x = 26 -5x = -10 x = 2 y = 9 - 4 y = 5 So it turns out that xylophones cost $2 each and yachts cost $5 each. ANSWERS: 3. Parallel 4. -6 + x 8. -1 9. (9, -1) 10. Multiply the first equation by -2 11. 42 12. 22.95 + 0.08m = 27.95 + 0.06m 13. 70 14. d = 3(r – 30) and d = 2(r + 30) 15. 3 hours 16. (5, 1) 17. Green area: 2x + y > 2 and x − y < 6 Yellow area: 2x + y > 2 and x − y > 6 18. Answer shown in part 2 (very long answer)

  3. mathslover
    • 2 years ago
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    \[\large{\color{red}{2x+y=5}}\] \[\large{\color{blue}{\textbf{Solve for x in this eqn}}}\]

  4. mathslover
    • 2 years ago
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    @tej18 what do you get after solving for x in 2x+y=5

  5. sauravshakya
    • 2 years ago
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    OMG......... what is that @abayomi12

  6. tej18
    • 2 years ago
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    ikr! @sauravshakya

  7. tej18
    • 2 years ago
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    i dont get it @mathslover

  8. mathslover
    • 2 years ago
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    2x+y=5 2x=5-y solve for x

  9. tej18
    • 2 years ago
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    ohh

  10. abayomi12
    • 2 years ago
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    teji u still don't get the answer that all the answer i just solved there

  11. tej18
    • 2 years ago
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    @mathslover so x= 5/2 - y/2??

  12. mathslover
    • 2 years ago
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    x=(5-y)/2 put this in 2nd eqn

  13. mathslover
    • 2 years ago
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    solve for y then you will get your answer

  14. tej18
    • 2 years ago
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    i m confused @mathslover

  15. mathslover
    • 2 years ago
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    \[\large{x=\frac{5-y}{2}}\] \[\large{x+3y=0}\] \[\large{\frac{5-y}{2}+3y=0}\] \[\large{\frac{5-y+2y}{2}=0}\] \[\large{5+y=0}\]

  16. mathslover
    • 2 years ago
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    oops sorry : \[\large{\frac{5-y+6y}{2}=0}\] \[\large{5+5y=0}\]

  17. tej18
    • 2 years ago
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    so y=0? @mathslover

  18. tej18
    • 2 years ago
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    @mathslover

  19. Kaederfds
    • 2 years ago
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    i got y = (-1)

  20. tej18
    • 2 years ago
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    oh kk thanks! @Kaederfds

  21. Sulli_lim
    • 2 years ago
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    Answer: -1 2x+y=5 x+3y=0 So, x=-3y Substitute x=-3y into 2x+y=5 2(-3y)+y=5 -6y+y=5 -5y=5 y=-1

  22. mathslover
    • 2 years ago
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    5y=-5 y=-1 @tej18

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