Grade 12 Linear Systems Worksheet

Grade 12 Linear Systems Worksheet

Read each question carefully and show all your work. Use appropriate methods to solve linear systems.

1. Which of the following systems of equations has no solution?

2. For the system: \n 3x + 2y = 7 \n x - y = 1 \n What is the value of x?

1. A system of linear equations with no solution is called an   system.

2. When two lines intersect at a single point, the system has   solution(s).

3. If two equations in a system represent the same line, the system has   many solutions.

1. Solve the following system of equations by substitution or elimination. \n 2x + 3y = 12 \n x - y = 1

1. The solution to a system of linear equations is the point(s) where their graphs intersect.

2. A system of two linear equations can have exactly two solutions.

Graph the following system of equations and identify the solution. \n y = x + 2 \n y = -2x + 5

Solution: ( ,  )