Question

4x+3y=17 and 5x-2y=4 (elimination method)

Answer 1

Answer:

] 4x + 3y = 17

[2] 5x - 2y = 4

Graphic Representation of the Equations :

3y + 4x = 17 -2y + 5x = 4

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 5x = 2y + 4

[2] x = 2y/5 + 4/5

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

[1] 4•(2y/5+4/5) + 3y = 17

[1] 23y/5 = 69/5

[1] 23y = 69

// Solve equation [1] for the variable y

[1] 23y = 69

[1] y = 3

// By now we know this much :

x = 2y/5+4/5

y = 3

// Use the y value to solve for x

x = (2/5)(3)+4/5 = 2

Solution :

{x,y} = {2,3}