A1-5.3 FLASHCARD Solving Systems by Substitution

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean to solve a system of equations by substitution?

Back

It means to solve one equation for one variable and then substitute that expression into the other equation.

Front

What is the first step in solving the system x = 7 - 2y and 2x + y = 5?

Back

Substitute x = 7 - 2y into the second equation.

Front

What is the solution to the system x = 7 - 2y and 2x + y = 5?

Back

(1, 3)

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the system x = -3y - 17 and 2x + 3y = -7?

Back

(10, -9)

Front

What does it mean if a system of equations has no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

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

Back

(2, 1)

Front

What is the graphical representation of a system of equations?

Back

It is the point(s) where the lines of the equations intersect on a coordinate plane.

Front

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

Back

(3, 1)