Solving System of Equations

Front

What is the first step in solving a system of equations using the substitution method?

Back

Get either variable by itself.

Front

What is the solution to the system of equations 3x + 2y = 16 and 7x + y = 19?

Back

(2, 5)

Front

How can you find the solution to a system of equations graphically?

Back

By graphing the lines and identifying the point of intersection.

Front

What is the general form of a linear equation in two variables?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a coordinate pair represent in a Cartesian plane?

Back

A point defined by its x (horizontal) and y (vertical) values.

Front

How do you determine if a system of equations has no solution?

Back

If the lines are parallel and never intersect.

Front

What is the significance of the point of intersection in a system of equations?

Back

It represents the solution to the system, where both equations are satisfied.

Front

What is the cost equation for a large pizza at Palanzio’s Pizzeria with x toppings?

Back

y = 6.80 + 0.90x.

Front

What is the cost equation for a large cheese pizza at Guido’s Pizza with x toppings?

Back

y = 7.30 + 0.65x.

Front

How do you set up a system of equations to compare costs from two different pizzerias?

Back

By equating their cost equations and solving for x.