Solving Linear Systems by Graphing or Substitution

If the two lines are parallel when graphed, the linear system...

• has one solution.

• has no solution.

• has an infinite number of solutions.

If the two lines lie directly on top of each other when graphed, the linear system...

• has one solution.

• has no solution.

• has an infinite number of solutions.

If the two lines intersect when graphed, the linear system...

• has one solution.

• has no solution.

• has an infinite number of solutions.

Given the following system:

y=-2x+20

6x-5y=12

Use substitution & solve for x. Type just that ONE value that you get for x for your answer.

Solve by substitution:

y= -2x + 5

y= 2x - 11

• No solution

• (0, 0)

• (3, -1)

• (4, -3)

Find the x-intercept of the following equation:

3x - 6y = 12

Type your answer as an ordered pair (x, y).

What is the correct first step in solving this system by substitution?

x = 2y +11

-7x -2y = -13

• -7(2y+11) - 2y = -13

• -7x -2(2y +11) = -13

• 2y+11-2y = -13

Tags

CCSS.HSA.REI.C.6

What is the solution to the system shown?

• (-2, 4)

• (-4, 2)

• (-4, -2)

• (4, -2)

Solve the system using substitution. Type your answer in as an ordered pair (x, y).

5x + 4y = -14

y = -7x - 15

Describe how you would graph the line

y = -2x + 3.

• Starting at the origin, count down 2 units. Then, count up 3 and to the right 1.

• Starting at the origin, count to the right 3 units. Then, count down 2 and to the right 1.

• Starting at the origin, count up 3 units. Then, count down 2 and to the right 1.

• Starting at the origin, count left 2 units. Then, count up 3 and to the right 1.