Review - Flashcard #12 Algebra 3

Front

What is the solution to the system of equations: y=8x+1 and y=6x+3?

Back

(1, 9)

Front

Solve for x and y in the equations: y = 2x + 1 and y = 4x - 1.

Back

(1, 3)

Front

What is the value of z in the system of equations?

Back

z = -1

Front

What is the value of y in the system of equations?

Back

y = 0

Front

Solve the system: y=6x-11 and -2x-3y=-7.

Back

(2, 1)

Front

What is the definition of 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 be consistent?

Back

A consistent system has at least one solution.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines represent the solutions.

Front

What is the substitution method in solving systems of equations?

Back

Substituting one equation into another to find the variable values.

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate a variable.