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