Answer:
{x,y}={
3
13
,
3
1
}
Step-by-step explanation:
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System of Linear Equations entered :
[1] x + 2y = 5
[2] x - y = 4
Graphic Representation of the Equations :
2y + x = 5 y + x = 4
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = y + 4
// Plug this in for variable x in equation [1]
[1] (y +4) + 2y = 5
[1] 3y = 1
// Solve equation [1] for the variable y
[1] 3y = 1
[1] y = 1/3
// By now we know this much :
x = y+4
y = 1/3
// Use the y value to solve for x
x = (1/3)+4 = 13/3
Solution :
{x,y} = {13/3,1/3}
