Q2W7 Weekly Flashcard

Front

What is the Elimination Method in solving systems of equations?

Back

A method used to eliminate one variable by adding or subtracting equations, allowing for the solution of the remaining variable.

Front

What is the first step in using the Elimination Method for the system: 2x + 2y = -2 and 3x - 2y = 12?

Back

Add the like terms. The y terms will cancel out.

Front

How do you solve a system of equations using substitution?

Back

Isolate one variable in one equation and substitute it into the other equation.

Front

What is the solution to the system of equations 2y + x = -15 and x = 3y?

Back

(-9, -3)

Front

What does it mean to graph a system of equations?

Back

To plot the equations on a coordinate plane and find the point(s) where they intersect, which represents the solution.

Front

What is the solution to the system of equations represented by the graph?

Back

The point where the two lines intersect.

Front

What is the solution to the system of equations: y = 6x − 11 and −2x − 3y = −7?

Back

(1, 3)

Front

What is the best method to solve the system: y = 6x − 11 and −2x − 3y = −7?

Back

Substitution because a variable is isolated.

Front

What is a system of equations?

Back

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

Front

What does it mean for two equations to be consistent?

Back

They have at least one solution (the lines intersect).