Question

Solve the simultaneous equations
4x3y=32
4x-y=16

Answer 1

Explanation:

Solve equation [2] for the variable y

[2] y = -4x + 16

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

[1] 4x + 3•(-4x+16) = 32

[1] -8x = -16

// Solve equation [1] for the variable x

[1] 8x = 16

[1] x = 2

// By now we know this much :

x = 2

y = -4x+16

// Use the x value to solve for y

y = -4(2)+16 = 8

Solution :

{x,y} = {2,8}