Interpret Solutions to Systems

Which of the following is NOT a solution to the systems of inequalities?

• (0, 0)

• (3, -2)

• (3, -4)

• (4, -4)

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

Which ordered pair represents the solution to the equations shown in the graph?

• (0, 6)

• (6, 0)

• (0, 10)

• (10, 0)

Jessica is solving the system of equations shown below.

y = 3x + 2

y = 2x + 7

If she graphs this system on a coordinate plane, how could she interpret the solution of this system?

• The system will be parallel.

• The system will be one line.

• The system will intersect at one point.

• The system will intersect at two different points.

Which point satisfies both equations?

y - x = 2

y + 2x = 2

• (0, 2)

• (2, 0)

• (2, 4)

• (-2, 6)

The graphs of two equations are shown. Which statement is true about the solution of this system of equations?

• The solution is a line.

• The solution is a point.

• There are no solutions.

• There are infinitely many solutions.

At which point do the graphs of these equations intersect?

4x + 3y = 12

2x - 5y = -20

• (0, 4)

• (4, 0)

• The graphs do not intersect.

• The graphs represent the same line

The cost for renting kayaks at Company A is c = 5h + 20. The cost for renting at Company B is c = 7h + 12. What is the number of rental hours for which the cost will be the same for both companies?

• 4 hours

• 5 hours

• 8 hours

• 16 hours

Jan has $100 in her bank account. She adds $15 to her account each month. Maura had $130 in her bank account . She adds $10 to her account each month. A system of equations is used to find how many monthly deposits will be needed for the accounts to have equal balances. Which graph correctly depicts this system of equations and its solution?

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This is a system of equations.

-2x + y = -8

-x + 2y = -4

How many solutions are there for this system of equations?

• 0

• 1

• 2

• an infinite number