Solving Systems by Substitution (easy)

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Front

What is substitution in solving systems of equations?

Back

Replacing one variable with an expression derived from another equation.

Front

If x = 4, what is y in the equation y = x + 8?

Back

y = 12, so the solution is (4, 12).

Front

What is the solution to the system y = -3 and y = x + 5?

Back

The solution is (-8, -3).

Front

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

Back

If the lines represented by the equations are parallel, they do not intersect.

Front

What does it mean if a system has infinitely many solutions?

Back

The equations represent the same line, so every point on the line is a solution.

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 solution to the system x = 2 and y = x - 2?

Back

The solution is (2, 0).

Front

What does it mean for a system to have one solution?

Back

The lines intersect at exactly one point.