Let x be pencils and y be pens

**Mrs. Smith bought 4 pencils and 3 pens for $5.60**

**4x+3y=5.60**

** Mr. Brown bought 2 pencils and 3 pens of the same kind for $4.60**

**2x+3y=4.60**

**4x+3y=5.60**

-(**2x+3y=4.60)=-2x-3y=-4.60**

**add this to the other equation to eliminate y**

**4x+3y=5.60**

**-2x-3y=-4.60**

**2x=1.00**

**x=0.50 pencils cost 50 cents**

**to find y plug x=.50 into one of the equations**

**4(.50)+3y=5.60**

**2+3y=5.60**

Subtract 2 from both sides

3y=3.60

Divide both sides by 3

Y=1.20

Pencils cost $1.20