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 the context of solving systems of equations?

Back

Replacing one variable with an expression derived from another equation.

Front

If x = y + 1 and x - y = 3, what is the solution?

Back

No Solution

Front

If y = -3 and y = x + 5, what is the solution?

Back

(-8,-3)

Front

If x = 3 and y = 4x, what is the solution?

Back

(3,12)

Front

What does it mean if a system has no solution?

Back

The lines represented by the equations are parallel and never 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

If x = 2 and y = x - 2, what is the solution?

Back

(2,0)

Front

What is the first step in solving a system by substitution?

Back

Isolate one variable in one of the equations.