<span><span> {x,y} = {20,13/10}</span>
</span>System of Linear Equations entered :<span><span> [1] x + 150y = 215
</span><span> [2] x + 120y = 176
</span></span>Graphic Representation of the Equations :<span> 150y + x = 215 120y + x = 176
</span>Solve by Substitution :
// Solve equation [2] for the variable x
<span> [2] x = -120y + 176
</span>
// Plug this in for variable x in equation [1]
<span><span> [1] (-120y+176) + 150y = 215
</span><span> [1] 30y = 39
</span></span>
// Solve equation [1] for the variable y
<span><span> [1] 30y = 39</span>
<span> [1] y = 13/10</span> </span>
By now we know this much :
<span><span> x = -120y+176</span>
<span> y = 13/10</span></span>
<span>Use the y value to solve for x
</span>
<span> x = -120(13/10)+176 = 20 </span>Solution :<span><span> {x,y} = {20,13/10}</span> </span>
