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[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
 one year ago
 one year 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
 one year ago
 one year ago

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abayomi12Best ResponseYou've already chosen the best response.0
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)
 one year ago

mathsloverBest ResponseYou've already chosen the best response.0
\[\large{\color{red}{2x+y=5}}\] \[\large{\color{blue}{\textbf{Solve for x in this eqn}}}\]
 one year ago

mathsloverBest ResponseYou've already chosen the best response.0
@tej18 what do you get after solving for x in 2x+y=5
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.1
OMG......... what is that @abayomi12
 one year ago

tej18Best ResponseYou've already chosen the best response.0
i dont get it @mathslover
 one year ago

mathsloverBest ResponseYou've already chosen the best response.0
2x+y=5 2x=5y solve for x
 one year ago

abayomi12Best ResponseYou've already chosen the best response.0
teji u still don't get the answer that all the answer i just solved there
 one year ago

tej18Best ResponseYou've already chosen the best response.0
@mathslover so x= 5/2  y/2??
 one year ago

mathsloverBest ResponseYou've already chosen the best response.0
x=(5y)/2 put this in 2nd eqn
 one year ago

mathsloverBest ResponseYou've already chosen the best response.0
solve for y then you will get your answer
 one year ago

tej18Best ResponseYou've already chosen the best response.0
i m confused @mathslover
 one year ago

mathsloverBest ResponseYou've already chosen the best response.0
\[\large{x=\frac{5y}{2}}\] \[\large{x+3y=0}\] \[\large{\frac{5y}{2}+3y=0}\] \[\large{\frac{5y+2y}{2}=0}\] \[\large{5+y=0}\]
 one year ago

mathsloverBest ResponseYou've already chosen the best response.0
oops sorry : \[\large{\frac{5y+6y}{2}=0}\] \[\large{5+5y=0}\]
 one year ago

tej18Best ResponseYou've already chosen the best response.0
oh kk thanks! @Kaederfds
 one year ago

Sulli_limBest ResponseYou've already chosen the best response.0
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
 one year ago
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