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 substitution mean in the context of solving equations?

Back

Substitution is the process of replacing a variable in one equation with an expression from another equation.

Front

How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable. 4. Substitute back to find the first variable.

Front

What is the solution to the system of equations y = -1x - 5 and 4x - 8y = 4?

Back

(-3, -2)

Front

What is the solution to the system of equations y = 7x + 9 and 2y + 2x = -18?

Back

(-2, -5)

Front

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

Back

(10, -9)

Front

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

Back

(-3, -9)

Front

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

Back

(3, 8)

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does 'm' represent in the slope-intercept form of a linear equation?

Back

The slope of the line, indicating how steep the line is.