The system of equations that we have are:
3x - 2y = -8 ________(1)
y = 3/2x - 2 ________(2)
Multiply both sides in (2) by 2x:
=> 2xy = 3 - 4x ______(3)
From (1), make y the subject of the formula:
3x + 8 = 2y
=> y = 3x/2 + 4
Put this into (3):
2x(3x/2 + 4) = 3 - 4x
Open the bracket:
[tex]3x^2\text{ + 8x = 3 - 4x}[/tex]Collect like terms:
[tex]3x^2\text{ + 8x + 4x = 3}[/tex][tex]3x^2\text{ + 12x - 3 = 0}[/tex]We
