Solving Systems of Equations

Front

The first step in solving using the substitution method is __________.

Back

get either variable by itself

Front

Which is the best method to use for the system: y = 6x − 11 and −2x − 3y = −7?

Back

Substitution because a variable is isolated.

Front

Solve this system by substitution: y = 6x − 11 and −2x − 3y = −7. What is the solution?

Back

(1, 4)

Front

Solve by matrices: 4x + 9y = 28 and -4x - y = -28. What is the solution?

Back

(7, 0)

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect

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 two lines to intersect on a graph?

Back

It means they have a common solution (x, y) that satisfies both equations.

Front

What is the substitution method?

Back

A method for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method?

Back

A method for solving systems of equations by adding or subtracting equations to eliminate one variable.

Front

What is a matrix in the context of solving systems of equations?

Back

A rectangular array of numbers used to represent a system of equations.