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WARM UP

Write a system of linear equations with exactly one solution. Use substitution to solve your system.

QUICK REVIEW!!!

Explain how you can determine if 2 lines are parallel. Provide an example of 2 parallel lines.

Explain how you can determine if 2 lines are perpendicular. Provide an example of 2 perpendicular lines.

SOLVING SYSTEMS WITH ONE SOLUTIONSubstitution allows you to create a one-variable equation.

Solve the system using substitution.

y = x + 2

y = - x + 4

SOLVING SYSTEMS WITH ONE SOLUTIONSolve the system using substitution.

y = 2x

7x – y = 15

EXAMPLEMiss B’s chalkboard is a rectangle that is 4 times

longer than it is wide (l = 4w). The perimeter of the chalkboard is 30 ft (2l + 2w = 30). Find the dimensions of Miss B’s chalkboard.

Without using substitution, decide whether each system has no solution or infinitely many solutions. (Hint: Write each equation in slope-intercept form and compare).

a. y = 4x b. 5x – y = 1

2x – 0.5y = 0 5x – y = 7

CLASSWORK/ HOMEWORK

6-2 worksheet