System of Equations 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 involves solving one equation for one variable and substituting that expression into the other equation.

Front

What is the first step in solving the system y = 2x + 1 and y = 4x - 1 by substitution?

Back

Set the two equations equal to each other: 2x + 1 = 4x - 1.

Front

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

Back

(1, 3)

Front

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

Back

Substitute the solution back into both original equations to see if both are satisfied.

Front

What is the solution to the system y = 4x - 10 and y = 3x - 5?

Back

(5, 10)

Front

What is the substitution method used for?

Back

To find the values of variables that satisfy all equations in a system.

Front

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

Back

(3, 8)

Front

What does it mean if two lines represented by equations are parallel?

Back

They have no solution because they never intersect.

Front

What is the solution to the system y = 8x + 1 and y = 6x + 3?

Back

(1, 9)