Question

5x - 3y = 8 , 3x + 5y = 2​

Answer 1

Explanation:

] 5x - 3y = 8

[2] 3x + 5y = 8

Graphic Representation of the Equations :

-3y + 5x = 8 5y + 3x = 8

Solve by Substitution :

// Solve equation [2] for the variable y

[2] 5y = -3x + 8

[2] y = -3x/5 + 8/5

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

[1] 5x - 3•(-3x/5+8/5) = 8

[1] 34x/5 = 64/5

[1] 34x = 64

// Solve equation [1] for the variable x

[1] 34x = 64

[1] x = 32/17

// By now we know this much :

x = 32/17

y = -3x/5+8/5

// Use the x value to solve for y

y = -(3/5)(32/17)+8/5 = 8/17