Joan is selling handmade necklaces at a local art fair. She paid $230 to reserve her booth. The cost of supplies for each necklace averages $2. So her cost, y, for x necklaces is represented by y= $230+2x. If she sells her necklaces for $12, her revenue, y, is represented by y=12x.

The solution system of this system is the break even point, the point beyond which she starts making a profit.

Use the system of equations to find how many necklaces joan needs to sell to break even.

Question

Joan is selling handmade necklaces at a local art fair. She paid $230 to reserve her booth. The cost of supplies for each necklace averages $2. So her cost, y, for x necklaces is represented by y= $230+2x. If she sells her necklaces for $12, her revenue, y, is represented by y=12x.

The solution system of this system is the break even point, the point beyond which she starts making a profit. 

Use the system of equations to find how many necklaces joan needs to sell to break even.