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nirvana33 [79]
3 years ago
10

Solve for x and y: x-3y=-8 3x+2y=31

Mathematics
2 answers:
Lady_Fox [76]3 years ago
6 0
x - 3y = -8
3x + 2y = 31
———————
3x - 9y = -24
3x + 2y = 31
———————
-11y = -55
y = 5

x - 3y = -8
x - 3(5) = -8
x - 15 = -8
x = 7

(x, y) = (7, 5)
uranmaximum [27]3 years ago
5 0
<span> x = 3y - 8
</span>
Plug this in for variable  x  in equation [2]<span>
</span><span><span>  [2] 3•(3y-8) + 2y = 31 </span><span>  [2] 11y = 55 </span></span>

 Solve equation [2] for the variable  y  

<span><span>  [2] 11y = 55</span>  <span>  [2] y = 5</span> </span>

// By now we know this much :

<span><span>  x = 3y-8</span> <span>  y = 5</span></span>

<span>// Use the  y  value to solve for  x  
</span>

<span>   x = 3(5)-8 = 7 </span>Solution :<span><span> {x,y} = {7,5}</span>  Processing ends successfully</span>
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