System Of Linear Equations

Which of the following is a system of linear equations in two variables?

• $2x–7y=8$

• $3x+5y=-2\ \ \ \ and\ \ \ \ \ \ \ \ x–4y=9$

• $x+9y=2\ \ \ \ \ and\ \ \ \ \ \ 2x–3y>12$

• $4x+1=8\ \ \ and\ \ \ \ \ 3y–7=11$

An ordered pair that satisfies both equations in a system of linear equations is called a _____ to the system of equations.

• solution

• consistent

• inconsistent

• dependent

Which of the following is the graph of a system of equations with infinitely many solutions?

• intersecting lines

• parallel lines

• coinciding lines

• perpendicular lines

Which of the following is the graph of a consistent and independent system of linear equations in two variables?

• 
• 
• 
• no graph

In a given system of linear equations, if the lines intersect ,then _________

• there is one solution to the system.

• there are infinitely many solutions to the system.

• there is no solution to the system.

• the two lines does not form a system.

When two lines have EQUAL slopes and SAME y- intercept, the graph of the equations are_______________.

• intersecting lines

• parallel lines

• coinciding lines

• horizontal lines

Which of the following ordered pair is a solution to the given system?

• (3,0)

• (-3,3)

• (3, -3)

• (3,3)

Which of the following statement is always true about system of linear equations?

• When two lines are parallel, the system has infinitely many solutions.

• When both variables are eliminated resulting in a true statement, the system has infinite number of solutions.

• When the slope and y-intercepts of the two equations in a system are the same, the lines are parallel.

• A system with independent equations forms an intersecting line.

Which of the following describes the graph of the system: $y=2x+4\ \ \ \ \ \ \ \ and\ \ \ \ \ \ y=4x+2$  

• the lines intersect at one point

• the lines do not intersect 

• the lines coincide

• cannot be graphed

Luisa says that the system y =-3x+ 2 and 2y = 15 – 6x has no solution. Which of the following reasons would support her statement?

I. The graph of the system of equations shows parallel lines.

II. The graph of the system of equations shows intersecting lines.

III. The two lines as described by the equations in the system have the same slope.

• I and II

• I and III

• II and III

• I , II and III