Solving Systems of Equations Flashcard

Front

A system of linear equations whose graphs are parallel lines have ___________ slopes and different _____________.

Back

same, y-intercepts

Front

What system of equations represents the situation: There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all?

Back

x + y = 15, 4x + 2y = 44

Front

Solve the System: 5x - y = 21, 2x + 3y = -12. What is the solution?

Back

(3, -6)

Front

Which of these represents point-slope form of a linear equation?

Back

y - y₁ = m(x - x₁)

Front

True or False: A system of two equations whose graphs intersect each other has one solution.

Back

True

Front

What is the definition of a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean for a system of equations to be inconsistent?

Back

It means there are no solutions; the lines are parallel.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines represent the solutions.

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.

Front

How do you determine if a system of equations has infinitely many solutions?

Back

If the equations represent the same line.