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solve the system of equations and enter the solution as an ordered pair.

 

7x-3y+5=16

4y=3x+17

 Mar 6, 2019
edited by raziel305  Mar 6, 2019
edited by raziel305  Mar 6, 2019
 #1
avatar+106533 
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7x-3y+5=16   ⇒  7x - 3y  = 11       (1)

4y=3x+17   ⇒     -3x + 4y  = 17     (2)

 

Multiply the first equation through by 4  and the second through by 3....and we have

 

28x -12y  = 44

-9x + 12y  = 51       add these

 

19x  = 95     divide both sides by  19

 

x = 5

 

And using (1)  we can find y 

 

7(5) - 3y = 11

35 - 3y = 11        add 3y to both sides and subtract 11 from both sides

 

24 = 3y      divide both sides by 3

 

8 = y

 

So

(x , y) = ( 5, 8)

 

 

cool cool cool

 Mar 6, 2019

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