Question

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

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

Answer 1

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}

Explanation: