Question

System of equations
Y=-1/2x+4 3x-4y=12

Answer 1

{x,y} = {8,3}

Explanation:

// Solve equation [2] for the variable y

[2] 4y = 2x - 4

[2] y = x/2 - 1

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

[1] 3x - 4•(x /2-1) = 12

[1] x = 8

// Solve equation [1] for the variable x

[1] x = 8

// By now we know this much :

x = 8

y = x/2-1

// Use the x value to solve for y

y = (/2)(8)-1 = 3