Question

Solve the system of linear equations by elimination

5х + 6у = 50
x - 6у = - 26

Answer 1

{x,y} = {4,5}

Explanation:

// Solve equation [2] for the variable x

[2] x = 6y - 26

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

[1] 5•(6y-26) + 6y = 50

[1] 36y = 180

// Solve equation [1] for the variable y

[1] 36y = 180

[1] y = 5

// By now we know this much :

x = 6y-26

y = 5

// Use the y value to solve for x