Lear equation.

6x + 8y = - 24

3

X

6x-8y=-3; 10x+4y=8

Solution:

{x, y} = {1/2,3/4}

System of Linear Equations entered:

[1] 6x - 8y = - 3

[2] 10x + 4y = 8

Graphic Representation of the Equations:

-8y + 6x = - 3 4y + 10x = 8

Solve by Substitution:

/ / Solve equation [2] for the variable y

[2] 4y = - 10x + 8

[2] y = - 5x/2 + 2

/ / Plug this in for variable y in equation [1]

[1] 6x - 8• (-5x/2+2) = - 3

[1] 26x = 13

/ / Solve equation [1] for the variable x

[1] 26x = 13

[1] x = 1/2

/ / By now we know this much:

x = 1/2

y = - 5x/2+2

/ / Use the x value to solve for y

y = - (5/2) (1/2) + 2 = 3/4

Solution:

{x, y} = {1/2,3/4}

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