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slavikrds [6]
3 years ago
7

14x+7y=217 14x+3y=189

Mathematics
1 answer:
Eva8 [605]3 years ago
4 0
<span> 14x+7y=-217;14x+3y=189 </span>Solution :<span><span> {x,y} = {141/4,-203/2}</span>  </span>System of Linear Equations entered :<span><span>  [1] 14x + 7y = -217 </span><span>  [2] 14x + 3y = 189 </span></span>Graphic Representation of the Equations :<span> 7y + 14x = -217 3y + 14x = 189 </span>Skip Ad
Solve by Substitution :

// Solve equation [2] for the variable  y  
 

<span> [2] 3y = -14x + 189 [2] y = -14x/3 + 63</span>

// Plug this in for variable  y  in equation [1]

<span><span>  [1] 14x + 7•(-14x/3+63) = -217 </span><span>  [1] -56x/3 = -658 </span><span>  [1] -56x = -1974 </span></span>

// Solve equation [1] for the variable  x  

<span><span>  [1] 56x = 1974</span>  <span>  [1] x = 141/4</span> </span>

// By now we know this much :

<span><span>  x = 141/4</span> <span>  y = -14x/3+63</span></span>

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

<span>   y = -(14/3)(141/4)+63 = -203/2 </span>Solution :<span><span> {x,y} = {141/4,-203/2}</span>  </span>
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