<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
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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>
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