Solving Systems of Equations

Front

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

Back

Intersect

Front

What is the first step in solving a system of equations by elimination/matrices?

Back

Get both equations in standard form and line up the like terms.

Front

Solve for x and y: y = 2/3x - 2, y = -x + 3

Back

(3,0)

Front

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

Back

get either variable by itself

Front

Solve the following systems of equations using substitution: 2y + x = -15, x = 3y

Back

(-9, -3)

Front

What are the two main methods for solving systems of equations?

Back

Substitution and elimination.

Front

In the elimination method, what do you aim to eliminate?

Back

One of the variables (x or y).

Front

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

Back

There is no solution; the lines are parallel.

Front

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

Back

There are infinitely many solutions; the lines coincide.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.