Solving Systems and Linear Equations and Inequalities

Solve for x and y by Substitution.

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

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• 
• 

Solve by elimination 4x-6y= -6 -2x-12y= -12

• (0,1)

• (1,0)

• (1,1)

• (2,1)

Which of the following points is a solution to the system of linear inequalities represented by the graph?

• (-3, 1)

• (0, 3)

• (2, 1)

• (-5, 1)

Which of the following ordered pairs ( x, y ) satisfies the system of inequalities above?

• (-2, -1)

• (-1, 3)

• (1,5)

• (2,-1)

​ ​ (a)   ​ ​ (b)  

The graph shows two lines representing the equations y = -x + 4 and -2x + y = 3.

Which ordered pair is in the solution set for the system of inequalities y > -x + 4 and -2x + y < 3

• (4,3)

• (4,-2)

• (1,6)

• (2,5)

A system of linear inequalities is shown. Inequality 1: y > -2x + 5 Inequality 2: y ≤ -x/3 + 5 Which statement is true for the point (0,3)?

• A. The point (0,3) is a solution for inequality 2 but not for inequality 1.

• B. The point (0,3) is not a solution for this system of linear inequalities.

• C. The point (0,3) is the only solution for this system of linear inequalities.

• D. The point (0,3) is one of many solutions for this system of linear inequalities.

Is (2, -1) a solution to the system?

• Yes

• No

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines