Writing and Solving Systems Answers

The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smaller number is –3. Which equations represent this situation?

Two linear equations are represented by using the tables below.The data points for equation A are graphed on the coordinate plane below and are connected by using a straight line.What is the solution to the system of equations?

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?

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?

Moises is determining the solution to the system of equations that is show below. Equation representing line A: Points on line B: (3, –12) and (9, –24) Step 1: Determine the slope for B: Step 2: Determine the y-intercept for B: Step 3: Write the equation in slope-intercept form: Step 4: Graph the equations: Step 5: Determine the intersection point: approximately (–9, –2)Which best describes Moises’ error?

A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller number. If y represents the larger number and x represents the smaller number, which equations model the situation? Check all that apply.

A number is equal to 3 times a smaller number. Also, the sum of the smaller number and 4 is the larger number. The situation is graphed on the coordinate plane below, where x represents the smaller number and y represents the larger number. Which two equations represent the situation?

A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation?

A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the smaller 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.