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shelby1290
 one year ago
Solve by elimination. Check each solution.
a) 38 = 2x  5y
75 = 7x  3y
b) 6x + 5y = 22
3y= 4x + 36
shelby1290
 one year ago
Solve by elimination. Check each solution. a) 38 = 2x  5y 75 = 7x  3y b) 6x + 5y = 22 3y= 4x + 36

This Question is Closed

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.0make one of the terms have the same number in both equations and then subtract.....

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0@theopenstudyowl how do you do that?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1shall we start on this problem first? a) 38 = 2x  5y 75 = 7x  3y

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1so... let's eliminate the x first we do this through multiplication.. the first equation must be negative because when we add numbers... for example if I have 7x +7x the x cancels out... so looking at the x term only we have 2x and 7x.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1I need to multiply the first equation by 7 and multiply the second equation by 2 because our goal is to create the same number and if we're going to add..at least one of the numbers must be negative to get rid of our x.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[7(38=2x5y)\] \[2( 75 = 7x  3y )\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1so can you distribute the 7 in the first equation and the 2 in the second equation ?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0lol sorry i was having wifi problems

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1oh that's ok... my isp provider is bad too :P

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434511952976:dw

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434512046087:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1I can check the second one without pen and paper... I need a calculator for the first xD

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[266=14x+35y\] \[150=14x6y\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1now we can add these two equations together.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1you will notice that the x's disappear and that's what we want.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1OH My bad what is 266+150 and 35y6y

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1we need to use addition because we want the 14x+14x to cancel out. yes that's correct 266+150=116 and yes 35y6y=29y

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1we need to use addition so that the 14x and the 14x cancel out... we need to use addition for the first and second equation... you're doing good so far :)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1116=29y now we just need division

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434512501123:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1very good! :) luckily that was the hard part of doing this problem... once we have one of our variables we can just solve for x We can choose to substitute y=4 in one of these equations 38 = 2x  5y 75 = 7x  3y I think using the first equation will be easier 38 = 2x  5(4)

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434512671123:dw

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0lol i really don't know what i just did there ^

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1that's good :) if you have x = 9 and y = 4 plug it back into those two equations... if you have 38=38 it's correct... and you have the right x and y values.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.138 = 2x  5y 75 = 7x  3y try plugging in x = 9 and y = 4 to see if 38=38 and 75=75

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1then you know that your x and y values are correct.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.138 = 2(9)  5(4) 38=18+20 38=38 75 = 7(9)  3(4) 75= 63+12 75=75 so our answer is correct :) x = 9 and y = 4

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0so x=9 and y=4 are our final answers?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0@UsukiDoll do i have to follow the same steps for part b?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1but you need to rearrange the second equation... b) 6x + 5y = 22 3y= 4x + 36

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1you just have to subtract 4x on both sides and switch places I'll do that part for you 3y4x=4x4x+36 3y4x=36 4x+3y=36 so now you have 6x+5y=22 4x+3y=36

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1we could get rid of the x again see we already have a negative sign on the second equation .. so we multiply the 4 throughout the first equation and 6 throughout the second equation 4(6x+5y=22) 6(4x+3y=36)

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0okay and then distribute?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434515008507:dw

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434515088427:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.124x+20y=88 24x+18y=216 yes.. now we use addition to get rid of the x

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0do i add all of them or just 24x + (24x)

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434515403562:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1yes the x cancels out.. you don't have to write 0 ... just 38y=304 and then we use division to have y = ?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1alright... since we have y=8, we can choose to place y=8 in the first or second equation... 6x+5y=22 4x+3y=36

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0is it easier to substitute into the 1st of 2nd equation? i was going to go with the 2nd but im not sure

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1substitution method works too, but your question is asking elimination method, so we're forced to do it that way.

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0i'm not very good at elimination lol

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0and i have my final exam tmrrw oh boyyyyy

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1elimination method for these equations means that we either need the x to cancel or the y to cancel... so we need to use multiplication and figure out what number do I need to multiply to have at least one of the x's and y's to be the same. we need to have at least one positive number and one negative number so when we add the x or the y should cancel.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1so getting back to 6x+5y=22 4x+3y=36 since we have y = 8 we can choose one of these equations and solve for x

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0ok i'll go with the 2nd one

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.14x+24=36 so we subtract 24 on both sides

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434516225078:dw

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0idk why but i got confused

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1well we need to shift the 24 to the right, so to do that I need to subtract because I want to get rid of the 24 on the left

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.12424 is 0 so the 24 is no longer on the left side... but I do have 24 on the right side which is what I need 4x=3624

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434516414467:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1alright so now we have x = 3 and y = 8

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1now we can check 6x+5y=22 4x+3y=36 x=3 and y=8 must satisfy both of these equations

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434516608979:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1the second one seems easier to check 4(3)+3(8) = 36 12+24=36 36=36 6(3)+5(8)=22 18+40=22 22=22 yay!

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0@UsukiDoll thanks for all of the help and remaining patient with me. I'm so nervous for my final exam tomorrow. I'm not the best at math at all!

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1:)...mathematics is always cumulative and requires a ton of practice.

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0yes i know and now the jokes on me for not doing my homework each night lol

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1just try your best :)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1does your teacher use curved grading?

shelby1290
 one year ago
Best ResponseYou've already chosen the best response.0what's curved grading?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1instead of grading A B C D F.. curved grading is used to give more students who think they are going to fail , better grades... so a 80100 will end up being an A instead of 90100 being an A on regular grading.
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