MA 214 Solving Systems Practice

Front

What is the solution to the system of equations: y = 4 and x - 4y = 5?

Back

x = 21, y = 4

Front

What does the inequality symbol y ≥ 3 represent on a graph?

Back

The region above and including the line y = 3.

Front

What is the first step in solving the system of equations: 5x + 2y = 5 and y = 3x + 8 using substitution?

Back

5x + 2(3x + 8) = 5

Front

If the inequality symbol is < or >, what type of line is used in the graph?

Back

Dotted line.

Front

What is the general form of a linear equation in two variables?

Back

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

Front

How do you determine if a point (x, y) is a solution to a system of equations?

Back

Substitute the values of x and y into each equation; if all equations are satisfied, it is a solution.

Front

What is the substitution method in solving systems of equations?

Back

It involves solving one equation for one variable and substituting that expression into the other equation.

Front

What does the graph of the inequality x > 3 look like?

Back

A dotted vertical line at x = 3, shading to the right.

Front

What is the significance of a solid line in graphing inequalities?

Back

It indicates that the points on the line are included in the solution set (≥ or ≤).

Front

What is the solution to the system of equations: 2x + 3y = 6 and y = 2 - rac{2}{3}x?

Back

x = 0, y = 2.