simultaneous equation
5x +2y = 14 and 2x+ 5y=7
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System of Linear Equations entered :
[1] 5x - 2y = 14
[2] 2x - 5y = 11
Graphic Representation of the Equations :
-2y + 5x = 14 -5y + 2x = 11
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 2x = 5y + 11
[2] x = 5y/2 + 11/2
// Plug this in for variable x in equation [1]
[1] 5•(5y/2+11/2) - 2y = 14
[1] 21y/2 = -27/2
[1] 21y = -27
// Solve equation [1] for the variable y
[1] 21y = - 27
[1] y = - 9/7
// By now we know this much :
x = 5y/2+11/2
y = -9/7
// Use the y value to solve for x
x = (5/2)(-9/7)+11/2 = 16/7
Solution :
{x,y} = {16/7,-9/7} hope help full to you
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