Block 3 Systems with Substitutions

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 equations?

Back

Replacing one variable with an expression involving another variable.

Front

How do you determine if a solution is correct for a system of equations?

Back

Substitute the solution back into the original equations to see if they hold true.

Front

What is the graphical representation of a system of equations?

Back

The point(s) where the graphs of the equations intersect.

Front

What is the solution to the system: y = x, 3x - 2y = 3?

Back

(3,3)

Front

What is the solution to the system: y = x + 5, 4x + y = 20?

Back

(3,8)

Front

Solve the system: y = 4x - 10, y = 3x - 5.

Back

(5,10)

Front

What is the solution to the system: y = 3x - 8, y = 4 - x?

Back

(3,1)

Front

What is the first step in using substitution to solve a system of equations?

Back

Isolate one variable in one of the equations.