Solve the following system of equations graphically.

1. 2x + 3y =2; x -2y=8

2. x -2y =2; 4x -2y = 5

3. 2x+ 3y = 4; 4x + 6y =12

4. 3x – y =5; 6x-2y=10

5. 2x+y =6; 6x +3y =18

6. 2y –x=9; 4y-2x =20

There are 3232 forwards and 8080 guards in leo's basketball league. leo must include all players on a team and wants each team to have the same number of forwards and the same number of guards. if leo creates the greatest number of teams possible, how many guards will be on each team?

Find the directions in which the function increases and decreases most rapidly at upper p 0p0. then find the derivatives of the function in these directions. f(x,y)equals=x squared plus xy plus y squaredx2+xy+y2, upper p 0p0left parenthesis 1 comma negative 4 right parenthesis

Aladder that is 20 ft. long against the side of a building. f the angle formed between the ladder and the ground is 75 degrees, how far is the bottom of the ladder from the base of the building?