Solving Systems of Equations

Front

How is a coordinate pair ordered?

Back

(x, y)

Front

What is the solution to the system of equations represented by the intersection of two lines?

Back

The point where the two lines intersect.

Front

What does it mean if a coordinate pair is a solution to a system of equations?

Back

It satisfies both equations in the system.

Front

Solve the system of equations: y = -x + 4 and y = 2x + 4.

Back

(0, 4)

Front

Is (1, 10) a solution to the system y = 7x + 5 and y = x + 9?

Back

No

Front

What is the graphical representation of a system of equations?

Back

Two or more lines on a coordinate plane.

Front

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

Back

It has at least one solution.

Front

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

Back

It has no solutions.

Front

What is the solution to the system of equations: y = 3x + 1 and y = -x + 5?

Back

(1, 4)

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for one variable and substituting it into the other equation.