Solving Systems of Linear Equations - All 3 Methods

Front

What is a system of linear equations?

Back

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

Front

What does it mean to solve a system of linear equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Front

What are the three methods to solve systems of linear equations?

Back

1. Graphing Method 2. Substitution Method 3. Elimination Method

Front

How do you graph a linear equation?

Back

Identify the y-intercept and use the slope to find another point, then draw a line through the points.

Front

What is the substitution method?

Back

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

Front

What is the elimination method?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Front

Solve the system: y = 2/3x - 2 and y = -x + 3.

Back

(3, 0)

Front

Solve the system: 3x + 2y = 16 and 7x + y = 19.

Back

(2, 5)

Front

Solve: y = 8x + 1 and y = 6x + 3.

Back

(1, 9)

Front

What is the cost equation for Palanzio’s Pizzeria?

Back

y = 6.80 + 0.90x, where y is the total cost and x is the number of toppings.