+0  
 
-3
531
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avatar+140 

i need help on this problem. 

Find the ordered pair\((x,y)\)  that satisfies the system of equations  

 

\(\begin{align*} x+3y &= -4,\\ 3x -7y &= 36. \end{align*}\)

 Jun 19, 2020
edited by Creampuff  Jun 19, 2020
 #1
avatar+55 
+1

Subtract 3y from the first equation to get x = -3y - 4

 

Substitute x into the second equation to get -9y - 12 - 7y = 36

 

Simplify: -16y - 12 = 36   -->   -16y = 48   -->   y = -3

 

Solve for x using the first equation: x = 9 - 4 = 5

 

Your answer is ( 5 , -3 )

 Jun 19, 2020

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