Question

Solve the system of linear equations by elimination. x+4y=6 −x−2y=−4

Answer 1

(x , y) = (2 , 1)

Explanation:

// Solve equation [1] for the variable x

[1] x = -4y + 6

// Plug this in for variable x in equation [2]

[2] -(-4y+6) - 2y = -4

[2] 2y = 2

// Solve equation [2] for the variable y

[2] 2y = 2

[2] y = 1

// By now we know this much :

x = -4y+6

y = 1

// Use the y value to solve for x

x = -4(1)+6 = 2