Solve System of Equations by Inspection

Jane is practicing solving systems of equations by inspection. She thinks that y = 5/6x + 2 and y = 5/6x – 2 would have exactly one solution. Is she correct? Why or why not?

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Solve the system by Inspection

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

The system will have (a)   solutions.

• One

• Two

• No Solution

• Infinitely Many Solutions

Answer explanation

The system has one solution because the equations are consistent and intersect at a single point. This indicates a unique solution, confirming that the correct answer is 'One'.

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

Which point satisfies the system of equations shown in the table?

• (-2, -5)

• (0, -5)

• (6, 7)

• (7, 7)

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Solve by inspection

y= ¾ x + 5

y= ¾ x + 2

• No Solution

• One Solution

• Infinitely Many Solutions

solve by inspection

y= ¾ x + 5

y= -¾ x + 5

• No Solution

• One Solution

• Infinitely Many Solutions