14x+7y=-217;14x+3y=189 Solution :
{x,y} = {141/4,-203/2}
System of Linear Equations entered :
[1] 14x + 7y = -217
[2] 14x + 3y = 189
Graphic Representation of the Equations :
7y + 14x = -217 3y + 14x = 189
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Solve by Substitution :
// Solve equation [2] for the variable y
[2] 3y = -14x + 189
[2] y = -14x/3 + 63// Plug this in for variable y in equation [1]
[1] 14x + 7•(-14x/3+63) = -217
[1] -56x/3 = -658
[1] -56x = -1974
// Solve equation [1] for the variable x
[1] 56x = 1974
[1] x = 141/4 // By now we know this much :
x = 141/4
y = -14x/3+63// Use the x value to solve for y
y = -(14/3)(141/4)+63 = -203/2 Solution :
{x,y} = {141/4,-203/2}
