Question

Solve for the value of x and y when 3x+2y=24 , x+y=9
step wise explanation plz

Answer 1

{x,y} = {2,9}

Explanation:

Solve equation [2] for the variable y

[2] 2y = -6x + 30

[2] y = -3x + 15

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

[1] 3x + 2•(-3x+15) = 24

[1] -3x = -6

// Solve equation [1] for the variable x

[1] 3x = 6

[1] x = 2

// By now we know this much :

x = 2

y = -3x+15

// Use the x value to solve for y

y = -3(2)+15 = 9