Systems Lesson 3 HW

Front

A system of two identical (overlapping) lines will have how many solutions?

Back

Infinite Solutions

Front

A system of two intersecting lines will have how many solutions?

Back

One Solution

Front

What is the first step in solving a system of equations by elimination?

Back

Get both equations in standard form and line up the like terms.

Front

What is the next step in solving this system by elimination: 2x + 3y = 9 and 5x + 3y = 21?

Back

Multiply one equation by -1.

Front

A system of two parallel lines will have how many solutions?

Back

No Solution

Front

What does it mean for two lines to be parallel in a system of equations?

Back

They have the same slope but different y-intercepts, meaning they never intersect.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel, they will never intersect, indicating no solution.

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.