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Bieber896
 one year ago
can someone help me on substituting and eliminating systems of equations?! I'm so confused
Bieber896
 one year ago
can someone help me on substituting and eliminating systems of equations?! I'm so confused

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3Post the full problem please

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3since x is fully isolated, you can replace the x in the second equation with 3y8 so `5y=19+4x` turns into `5y=19+4(3y8)`

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3do you see how to solve for y?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3get all the y terms to one side so subtract 12y from both sides to get the y terms to the left side

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3good, then combine like terms on the right side

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3what comes next

Bieber896
 one year ago
Best ResponseYou've already chosen the best response.1divide both sides by 7?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3\[\Large 7y = 13\] \[\Large \frac{7y}{7} = \frac{13}{7}\] \[\Large y = \frac{13}{7}\] Notice how the two negatives divide to make a positive result

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3I'd leave it as a fraction because the decimal result is only an approximation

Bieber896
 one year ago
Best ResponseYou've already chosen the best response.1so then do I plug that in to the next equation?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3yes, you'll plug that into `x=3y8` to find x

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3or x = 17/7 so the solution as an ordered pair is \(\LARGE \left( \frac{17}{7}, \frac{13}{7}\right)\)

Bieber896
 one year ago
Best ResponseYou've already chosen the best response.1ok thanks so much ! can we just do one more?!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3y is equal to 3x+3 AND it's also equal to 2x+1

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3since y is equal to those two things, we can set the two equal to each other basically we're performing a substitution

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3y=2x+1 3x+3 = 2x+1 ... replace y with 2x+1 solve for x to get x = ??

Bieber896
 one year ago
Best ResponseYou've already chosen the best response.1so do I have to get rid of one of the variables?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3move the 2x over you do this by subtracting 2x from both sides

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3now subtract 3 from both sides to move that 3 to the right side

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3which is the same as x = 2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3now plug that into either equation to find y

Bieber896
 one year ago
Best ResponseYou've already chosen the best response.1so the solution is (2,3)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3yes it's (2,3)

Bieber896
 one year ago
Best ResponseYou've already chosen the best response.1thank you both so much for your help @jim_thompson5910 @tekman1298
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