Solve the system of equations by substitution.

y=5x-13

4x + 3y = 18

{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}

Explanation