Question

Solve the system of equations by substitution.
y=5x-13
4x + 3y = 18

Answer 1

{y,x} = {2,3}

System of Linear Equations entered :

[1] y=5x-13

[2] 4x+3y=18

Equations Simplified or Rearranged :

[1] y - 5x = -13

[2] 3y + 4x = 18

Graphic Representation of the Equations :

-5x + y = -13 4x + 3y = 18

Solve by Substitution :

// Solve equation [1] for the variable y

[1] y = 5x - 13

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

[2] 3•(5x-13) + 4x = 18

[2] 19x = 57

// Solve equation [2] for the variable x

[2] 19x = 57

[2] x = 3

// By now we know this much :

y = 5x-13

x = 3

// Use the x value to solve for y

y = 5(3)-13 = 2

Solution :

{y,x} = {2,3}

Step-by-step explanation