X + 2y = 10

3x + 4y = 8

x+2y=10; 3x+4y=8

Solution:

{ x, y } = { - 12, 11}

System of Linear Equations entered:

[1] x + 2y = 10

[2] 3x + 4y = 8

Graphic Representation of the Equations:

2y + x = 10 4y + 3x = 8

Solve by Substitution:

/ / Solve equation [1] for the variable x

[1] x = - 2y + 10

/ / Plug this in for variable x in equation [2]

[2] 3• (-2y + 10) + 4y = 8

[2] - 2y = - 22

/ / Solve equation [2] for the variable y

[2] 2y = 22

[2] y = 11

/ / By now we know this much:

x = - 2y + 10

y = 11

/ / Use the y value to solve for x

x = - 2 (11) + 10 = - 12

Solution:

{ x, y } = { - 12, 11}

x + 2y = 10 - x = 10-2y

3x + 4y = 8 - x=8/3 - 4y/3