Question

Solve both equations 8x + 7y = 39 4x – 14y = –68

Answer 1

{x,y}={ 1/2, 5)

Explanation:

[1] 8x + 7y = 39

[2] 4x - 14y = -68

Solve equation [2] for the variable x

[2] 4x = 14y - 68

[2] x = 7y/2 - 17

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

[1] 8•(7y/2-17) + 7y = 39

[1] 35y = 175

// Solve equation [1] for the variable y

[1] 35y = 175

[1] y = 5

// By now we know this much :

x = 7y/2-17

y = 5

// Use the y value to solve for x

x = (7/2)(5)-17 = 1/2

Answer 2

x=1/2, y=5

Explanation:

This can be solved using substitution!

Hope this helped!