Systems of Equations and Graphing

Which graph represents a system of equations with infinite solutions?

• 
• 
• 
• None of the above

Which graph represents a system of equations with no solution?

• 
• 
• 
• None of the above

When solving a system of equations algebraically, which statement results in infinite solutions?

• 4 = 7

• 2 = 2

• -3 = 3

• all of the above

When solving a system of equations algebraically, which statement results in no solution?

• 4 = 7

• -2 = 2

• -3 = 3

• all of the above

The solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

Where do these two lines intersect?

• (-8, -8)

• (8, 8)

• (8, -8)

• No solution

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

• Parallel lines

• the same line

• Intersecting lines

Solve the following system of equations using the substitution method: 2x + y = 7,
3x - 2y = 4

• x = 18/7 and y = -4/7

• x = 2/7 and y = 3/4

• x = -18/7 and y = 4/7

• x = 7/2 and y = 4/3

Graph the following system of equations: 2x - y = 4, x + y = 2

• The graph of the system of equations is a straight line that passes through the points (0, -4) and (2, 0) for the equation 2x - y = 4, and a straight line that passes through the points (0, 2) and (2, 0) for the equation x + y = 2. The two lines intersect at the point (2, 1).

• The graph of the system of equations is a straight line that passes through the points (0, -4) and (2, 0) for the equation 2x - y = 4, and a straight line that passes through the points (0, 2) and (2, 0) for the equation x + y = 2. The two lines intersect at the point (1, 1).

• The graph of the system of equations is a straight line that passes through the points (0, 4) and (2, 0) for the equation 2x - y = 4, and a straight line that passes through the points (0, -2) and (2, 0) for the equation x + y = 2. The two lines intersect at the point (1, 2).

• The graph of the system of equations is a straight line that passes through the points (0, 4) and (2, 0) for the equation 2x - y = 4, and a straight line that passes through the points (0, -2) and (2, 0) for the equation x + y = 2. The two lines intersect at the point (1, -1).

Solve the system algebraically

-7x - 2y = -13

x - 2y = 11