x+y=10, y+z=12,z+x=15 then x=?
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kishankumar81:
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x+y=10;x+z=15;y+z=12
Solution :
{x,y,z} = {13/2,7/2,17/2}
System of Linear Equations entered :
[1] x + y = 10 [2] x + z = 15 [3] y + z = 12
Solve by Substitution :
// Solve equation [3] for the variable z
[3] z = -y + 12
// Plug this in for variable z in equation [2]
[2] x + (-? +12) = 15 [2] x = 3
// Solve equation [2] for the variable x
[2] x = ? + 3
// Plug this in for variable x in equation [1]
[1] (y +3) + y = 10 [1] 2y = 7
// Solve equation [1] for the variable y
[1] 2y = 7 [1] y = 7/2
// By now we know this much :
x = y+3 y = 7/2 z = -y+12
// Use the y value to solve for x
x = (7/2)+3 = 13/2
// Use the y value to solve for z
z = -(7/2)+12 = 17/2
Solution :
{x,y,z} = {13/2,7/2,17/2}
System of Linear Equations entered :
[1] x + y = 10 [2] x + z = 15 [3] y + z = 12
Solve by Substitution :
// Solve equation [3] for the variable z
[3] z = -y + 12
// Plug this in for variable z in equation [2]
[2] x + (-? +12) = 15 [2] x = 3
// Solve equation [2] for the variable x
[2] x = ? + 3
// Plug this in for variable x in equation [1]
[1] (y +3) + y = 10 [1] 2y = 7
// Solve equation [1] for the variable y
[1] 2y = 7 [1] y = 7/2
// By now we know this much :
x = y+3 y = 7/2 z = -y+12
// Use the y value to solve for x
x = (7/2)+3 = 13/2
// Use the y value to solve for z
z = -(7/2)+12 = 17/2
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