Solving Systems by Graphing and Substitution

Front

What is a system of equations?

Back

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

Front

What does it mean for a point to be a solution to a system of equations?

Back

It means that the point satisfies all equations in the system.

Front

How can you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into each equation and check if they hold true.

Front

What is the graphical method for solving systems of equations?

Back

Graph each equation on the same coordinate plane and find the intersection point.

Front

What is substitution in the context of solving systems of equations?

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 a system of equations by substitution?

Back

Isolate one variable in one of the equations.

Front

What does the term 'intersection' refer to in graphing systems of equations?

Back

The point where two lines cross, representing the solution to the system.

Front

What is the solution to the system of equations y = -x + 5 and y = 2x - 7?

Back

(4, 1)

Front

How do you solve for y in the equation 2x + 2y = 18?

Back

y = -x + 9.

Front

What is the solution to the system of equations y = -6x + 5 and -2x + y = 5?

Back

(0, 5)