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whats the systems of equation using substitution? 3x+4y=29 & 7x+6y=41

 Oct 7, 2016
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Solve ONE of the questions for ONE of the variables ....then substitute THAT value for the variable into the SECOND equation to solve for the second variable.   Like this:

Solve for 'y'   3x +4y = 29   

4y = 29 - 3x

y = (29-3x) / 4         Substitute this into the SECOND equation for 'y'

 

7x + 6y = 41

7x + 6 ( 29-3x)/4  = 41     and solve for 'x'

7x + (174-18x)/4 = 41

7x + 43.5 - 4.5x = 41

2.5x = 41-43.5

2.5x = -2.5

x = -1              NOW,  take this value of 'x' and substitute into one of the equations to find the other variable ('y')

 

3x+4y = 29

3(-1) + 4y = 29      y=8

 Oct 7, 2016

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