Question

Graph of this linear equation y=3/7x+8

Answer 1

Answer:

System of Linear Equations entered :

[1] y=-3/7x-8

[2] 3x-7y=1

Equations Simplified or Rearranged :

[1] y + 3x/7 = -8

[2] -7y + 3x = 1

// To remove fractions, multiply equations by their respective LCD

Multiply equation [1] by 7

// Equations now take the shape:

[1] 7y + 3x = -56

[2] -7y + 3x = 1

Graphic Representation of the Equations :

3x + 7y = -56 3x - 7y = 1

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 3x = 7y + 1

[2] x = 7y/3 + 1/3

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

[1] 7y + 3•(7y/3+1/3) = -56

[1] 14y = -57

// Solve equation [1] for the variable y

[1] 14y = - 57

[1] y = - 57/14

// By now we know this much :

y = -57/14

x = 7y/3+1/3

// Use the y value to solve for x

x = (7/3)(-57/14)+1/3 = -55/6

Solution :

{y,x} = {-57/14,-55/6}