System of Equations Practice

• x=5,y=−1

• x=−3,y=1

• No solution

• Infinitely many solutions

Tags

TEKS.MATH.9-12.II.C.1

What does it mean when a system of linear equations has "infinitely many solutions"?

• The lines intersect at exactly one point.

• The lines are parallel and never intersect.

• The lines are the same so they overlap at every point.

• The system has no solutions.

Tags

TEKS.MATH.9-12.II.C.1

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

Tags

TEKS.MATH.9-12.II.C.1

Solve the system of equations: 3x + 2y = 8 and 2x - y = 1.

• x = 2, y = 3

• x = 1, y = 4

• x = 3, y = 2

• x = 4, y = 1

Solve the system of equations: 3x - 2y = 4 and 2x + 3y = 1.

• x = -1 and y = 2

• x = 2 and y = -1

• x = 14/13 and y = -5/13

• x = 14/13 and y = -5/13

Graph the system of equations: y = -3x + 4 and y = 2x - 1.

• The graph of the system of equations is a single line.

• The graph of the system of equations is a pair of perpendicular lines.

• The graph of the system of equations is a pair of parallel lines.

• The graph of the system of equations is a pair of intersecting lines.

Graph the system of equations: y = 0.5x - 2 and y = -x + 3.

• (1, 0)

• (3, 2)

• (0, -2)

• (2, 1)

Solve the system of equations: 2x + 3y = 5 and 4x - y = 7.

• x = 13/7, y = 3/7

• x = 3/7, y = 1/7

• x = 5/7, y = 2/7

• x = 1/7, y = 4/7

Solve the system of equations: 5x + 2y = 9 and 3x - 4y = -6.

• x = 3/2 and y = 57/26

• x = -1 and y = 4

• x = 2 and y = 3

• x = 3/2 and y = 57/26

Graph the system of equations: y = -0.5x + 2 and y = 2x - 3.

• The graph of the system of equations is a line that intersects at the point (2, 0)

• The graph of the system of equations is a line that intersects at the point (0, 2)

• The graph of the system of equations is a line that intersects at the point (-1.5, 0)

• The graph of the system of equations is a line that intersects at the point (1.5, 0)