6x=-58-11y;-4x=2-11y Solution :
{x,y} = {-6,-2}
System of Linear Equations entered :
[1] 6x + 11y = -58
[2] -4x + 11y = 2
Graphic Representation of the Equations :
11y + 6x = -58 11y - 4x = 2
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Solve by Substitution :
// Solve equation [2] for the variable y
[2] 11y = 4x + 2
[2] y = 4x/11 + 2/11// Plug this in for variable y in equation [1]
[1] 6x + 11•(4x/11+2/11) = -58
[1] 10x = -60
// Solve equation [1] for the variable x
[1] 10x = - 60
[1] x = - 6 // By now we know this much :
x = -6
y = 4x/11+2/11// Use the x value to solve for y
y = (4/11)(-6)+2/11 = -2 Solution :
{x,y} = {-6,-2}