asked by guest
on Mar 16, 2025 at 8:41 pm
You asked:
Solve the system of equations:
3x+2y6x+2y=2xy=3xy
MathBot Answer:
The system of equations has 2 solutions.
x=0,y=0x=2,y=3
Solve 3x+2y=2xy for x. x=2y−32ySubstitute 2y−32y for x in 6x+2y=3xy and simplify. 6x+2y6(2y−32y)+2y2y−36y2=3xy=3(2y−32y)y=2y−32y(2y+3)Substitute 0 into 3x+2y=2xy to solve for x. 3xx=0=0This yields the following solution. x=0,y=0Substitute 3 into 3x+2y=2xy to solve for x. 3x+6−3xx=6x=−6=2This yields the following solution. x=2,y=3