Question

3x+5y= 8
2х - 5y = 22

Solve system of equations

Answer 1

The answer should be: {x,y}={6,-2}

Answer 2

{x,y}={6,-2}

Explanation:

System of Linear Equations entered :

[1] 3x + 5y = 8

[2] 2x - 5y = 22

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 2x = 5y + 22

[2] x = 5y/2 + 11

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

[1] 3•(5y/2+11) + 5y = 8

[1] 25y/2 = -25

[1] 25y = -50

// Solve equation [1] for the variable y

[1] 25y = - 50

[1] y = - 2

// By now we know this much :

x = 5y/2+11

y = -2

// Use the y value to solve for x

x = (5/2)(-2)+11 = 6

Graphic Representation of the Equations :