Systems of Equations & Inequalities Review

What is the value of the y-coordinate of the solution to the system of equations

x - 2y = 1

x + 4y = 7

• 1

• -1

• 3

• 4

Which of the systems below has the same solution as the following system:

-6x + 5y = 1

6x + 4y = -10

• -12x + 10y = 1

  6x + 4y = -10

• -30x -30y = 30

  40x + 5y = 10

• 6x + 5y = -1

  6x + 4y = 10

• -6x + 5y = 1

  18x + 12y = -30

Solve the following system of equations:

2x + 3y = 17

y - 1= 4x

• (-1,-3)

• (1,5)

• (1,3)

• (2,4)

What is the solution to the system of equations?

2x - 3y = 4

6y = 4x + 15

• No Solution

• Infinite Solutions

• (3, -8)

• (-7, 19)

Which is a point in the solution set of

 $y\ >-x\ +\ 1$   and  $2x\ -\ y>4$  ?

• (0,1)

• (-1,2)

• (2,-4)

• (5,5)

Match the system to the graph.

• y ≤ 3x and y ≤ -2x + 4

• y > 3x and y > -2x + 4

• y < 3x and y > -2x + 3

• y > 3x and y < -2x + 4

What is the solution to the system?

5x + 6y = -10

3x - 2y = -6

• (-2,0)

• (0,-2)

• (2,0)

• (0,2)

Solve the system.

2(x + 4y) = -12 - 3x

3x + 5y + 7 = 0

• (1, -10)

• No solution

• (-4, 1)

• (1, 10)

Solve the system of equations:
 $\frac{1}{2}\left(4x+2y\right)=19$  
 $-3x+3y=-33$  

•  $(10,-1)$  

•  $(-1,10)$  

•  $(3,-4)$  

•  $(6,7)$  

Solve the system.

−7x + 6y = 29

10x + y = 16

• (1, 6)

• (−1,−3)

• (−3, −1)

• (−1, 3)