Unit 7 Review

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation to find the values of both variables.

Front

Solve the system of equations by substitution: y = 2x - 15, y = 4x - 23

Back

(4, -7)

Front

Solve the equation by substitution: -2x + 5y = 11, -2x + 6y = 14

Back

(2, 3)

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.

Front

Solve the system of equations by elimination: -8x - 3y = -20, 8x - 2y = 0

Back

(1, 4)

Front

What does it mean if a system of equations has infinite solutions?

Back

It means that the equations represent the same line, and there are countless points (x, y) that satisfy both equations.

Front

Solve the system of equations by substitution: y = 8x - 3, y = 3

Back

(0, 3)

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved simultaneously.

Front

What is the graphical interpretation of a system of equations?

Back

The solutions to a system of equations can be represented as the points where the graphs of the equations intersect.

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution, meaning the lines intersect at one point or are the same line.