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anonymous
 one year ago
**GOLD MEDAL WILL BE GIVEN TO WHO HELPS :) **
Choose the equivalent system of linear equations that will produce the same solution as the one given below.
4x  y = 11
2x + 3y = 5
A) 4x  9y = 19
10y = 30
B) 4x + 3y = 5
2y = 6
C) 7x  3y = 11
9x = 6
D) 12x  3y = 33
14x = 28
anonymous
 one year ago
**GOLD MEDAL WILL BE GIVEN TO WHO HELPS :) ** Choose the equivalent system of linear equations that will produce the same solution as the one given below. 4x  y = 11 2x + 3y = 5 A) 4x  9y = 19 10y = 30 B) 4x + 3y = 5 2y = 6 C) 7x  3y = 11 9x = 6 D) 12x  3y = 33 14x = 28

This Question is Closed

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1multiply the first equation by 3 , then add them together...

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1The basic rules are, you can multiply an equation by a constant value rearrange equations and add equations together...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@DanJS what do you mean multiply them?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1If you multiply an entire equation by a constant number, the equation is unchanged... \[3*[4xy=11]\]

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1So when you do that then add the two together, a variable goes to zero and drops out

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1The result after multiplying the first by 3 is there, and now add the two together... 12x  3y = 33 2x + 3y = 5 

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1you want to find a number you can multiply each equation by, so that when added together, you have a variable drop out. In this case 3y + 3y = 0y

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@DanJS so I would have to do this to each one ?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1Here i will do each basic step for this example.....

DanJS
 one year ago
Best ResponseYou've already chosen the best response.14x  1y = 11 2x + 3y = 5 If added together, you just will get 6x + 2y = 6

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1ok, so think of some number you can multiply one of the equations by , so that when added will result in zero for one variable...

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1if you multiply the first by 3, you will have a 3y in the first and a +3y in the second

DanJS
 one year ago
Best ResponseYou've already chosen the best response.13*[4x  y = 11] 1*[2x + 3y = 5]  that is the same as the original, you can multiply both sides of the equation by a number

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@DanJS yes I see! so it would leave me with Answer B correct??

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1If you carry out what is above.. you get 12x  3y = 11 2x + 3y = 5  That was the point, now when added the y term goes to zero

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1sorry 12x  3y = 33 2x + 3y = 5 

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1now add them together, both sides of the equals

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1right !, remember those two basic rules... and the goal of getting a variable to go to zero like the Y did here

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1Multiplying an equation by a constant number, and Adding two equations together... that is it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@DanJS this really helped, thank you for explaining this to me!

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1I could type all the dumb script rules in, but those are the ideas

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1Say you have one that has terms on the Y like this ... 3y = 10 ... 2y = 41

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1How to get those to add and cancel out... multiply the first by +2 Multiply the second by 3

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1just take care of the X and right side of the = when you multiply through and add too

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@DanJS wow you make this very easy, definitely writing these in my notes! thank you so much!

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1welcome, practice.. hehe
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