X+2y=3

3x-2y=5

What is the solution to system of equations?

x=2, y=1/2

x+2y=3; 3x-2y=5

Solution:

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

System of Linear Equations entered:

[1] x + 2y = 3

[2] 3x - 2y = 5

Graphic Representation of the Equations:

2y + x = 3 - 2y + 3x = 5

Solve by Substitution:

/ / Solve equation [1] for the variable x

[1] x = - 2y + 3

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

[2] 3• (-2y+3) - 2y = 5

[2] - 8y = - 4

/ / Solve equation [2] for the variable y

[2] 8y = 4

[2] y = 1/2

/ / By now we know this much:

x = - 2y+3

y = 1/2

/ / Use the y value to solve for x

x = - 2 (1/2) + 3 = 2

Solution:

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

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