Module 5 Flashcardizz

Front

Solve the system of equations: y = 8x + 1 and y = 6x + 3

Back

(1, 9)

Front

What is the solution to the system of equations?

Back

(6, -2)

Front

Solve the following systems of equations using substitution: y = 8 and y = -4x + 4

Back

(-1, 8)

Front

When adding the equations in this system, what will happen?

Back

The y's will be eliminated.

Front

Determine if there is a solution for the system: -4x - 6y = 6 and 4x + 6y = -4

Back

No solution.

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 system of equations to have no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What is the substitution method in solving systems of equations?

Back

Replacing one variable with an expression from another equation.

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

The equations represent the same line, so every point on the line is a solution.