Exploring Systems in the Real World Answers

A system of linear equations includes the line that is created by the equation and the line through the points (3, 1) and (–5, –7), shown below. What is the solution to the system of equations?

Of the four choices given, which two, when written as a system, have a solution of (–4, 5)?

What is the solution to the system that is created by the equation and the graph shown below?

The linear equation is represented on the graph below. A second linear equation is represented by the data in the table.xy–4–30–12062What is the solution to the system of equations?

Twice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?

A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply.

The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x represent the larger number and y represent the smaller number. Which equations represent this situation?

A number is equal to the sum of half a second number and 3. The first number is also equal to the sum of one-quarter of the second number and 5. The situation can be represented by using the graph below, where x represents the second number. Which equations represent the situation?

A system of linear equations includes the line that is created by the equation , graphed below, and the line through the points (3, 1) and (4, 3). What is the solution to the system of equations?

A system of equations is created by using the line that is created by the equation and the line that is created by the data in the table below. xy–3–9–1–53357What is the y-value of the solution to the system?