4.13-4.14 Solving Systems by Substitution (Original)

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

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

How do you solve for y in the equation y = 2x - 3?

Back

To find y, substitute a value for x into the equation.

Front

What is the solution to the system: x = 6 and y = 2x - 3?

Back

(6, 9)

Front

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

Back

(3, 8)

Front

What is the solution to the system: y = 4x + 3 and 2x - 3y = 21?

Back

(-3, -9)

Front

What is the solution to the system: y = x - 4 and y = -x + 2?

Back

(3, -1)

Front

What is the solution to the system: y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on a coordinate plane.