Solve the following system of equations. Give the answer as an ordered pair.

2x - y = 6 5x + 3y = 26

Answer: 5x+3y=26; 6x+7y=21

Solution:

{x, y} = {7,-3}

System of Linear Equations entered:

[1] 5x + 3y = 26

[2] 6x + 7y = 21

Graphic Representation of the Equations:

3y + 5x = 26 7y + 6x = 21

Solve by Substitution:

/ / Solve equation [2] for the variable y

[2] 7y = - 6x + 21

[2] y = - 6x/7 + 3

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

[1] 5x + 3• (-6x/7+3) = 26

[1] 17x/7 = 17

[1] 17x = 119

/ / Solve equation [1] for the variable x

[1] 17x = 119

[1] x = 7

/ / By now we know this much:

x = 7

y = - 6x/7+3

/ / Use the x value to solve for y

y = - (6/7) (7) + 3 = - 3

Solution:

{x, y} = {7,-3}