Solve each system of equations by using either substitution or elimination.

• -2x-6y=0
• 3x+11y=4

Solve to find a combination of the columns that equals b: u - v - w = b₁; v + w = b₂; w = b₃.

Solve each system of equations.

• $x+z=7$
• $2 y-z=-3$
• $-x-3 y+2 z=11$

Solve each system of equations by using substitution.

• 2x+4y=6
• 7x=4+3y

Solve each system of inequalities by graphing.

• $y<2 x-3$
• $y \leq \frac{1}{2} x+1$

Solve each system of equations.

• 3x + y + z = 4
• 2x + 2y + 3z = 3
• x + 3y + 2z = 5

Solve each system of equations by graphing.

• 5x-11=4y
• 7x-1=8y

Graph each system of inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the given function for this region.

• $y \geq 1$
• $2 \leq x \leq 4$
• $x-2 y \geq-4$
• $f(x, y)=3 y+x$

Solve each system of equations by using either substitution or elimination.

• 7y-2x=10
• -3y+x=-3

Graph each system of inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the given function for this region.

• $y \geq 2$
• $1 \leq x \leq 5$
• $y \leq x+3$
• $f(x, y)=3 x-2 y$

Solve each system of equations by graphing.

• 3x-7y=-6
• x+2y=11

Solve each system of equations by using substitution.

• 6c+3d=12
• 2c=8-d

Solve each system of equations.

• 2r + s + t = 14
• -r - 3s + 2t = -2
• 4r - 6s + 3t = -5

Solve each system of inequalities by graphing.

• 4x-3y<7
• 2y-x<-6