y = 3 A) (3, 2) B) (2, 3) C) (-2,3) D) (-10, 3) Solve the system of equations by graphing. 2) 2x + y = -5 X= -2 2) 10- -10 -5 5 10 X A) (-1, -2) B) (-2, –1) C) (2, 1) D) no solution SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the system of equations by elimination. 3) 8х - 4y %3D10 3)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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#2

## Solving Systems of Equations

### Question 1
Solve the system of equations by substitution.

System:
1) 
- \( x - 2y = 4 \)
- \( y = 3 \)

Options:
- A) \((3, 2)\)
- B) \((2, 3)\)
- C) \((-2, 3)\)
- D) \((-10, 3)\)

### Question 2
Solve the system of equations by graphing.

System:
- \( 2x + y = -5 \)
- \( x = -2 \)

**Graph Explanation:**
The graph is a standard Cartesian plane with x and y axes, both marked from -10 to 10. The lines represented by the equations need to be plotted on this graph to find their intersection point.

Options:
- A) \((-1, -2)\)
- B) \((-2, -1)\)
- C) \((2, 1)\)
- D) No solution

### Short Answer
Write the word or phrase that best completes each statement or answers the question.

### Question 3
Solve the system of equations by elimination.

System:
- \( 8x - 4y = 10 \)

\[ \text{Answer: } \_\_\_\_\_\_\_\_\_\_\_ \]
Transcribed Image Text:## Solving Systems of Equations ### Question 1 Solve the system of equations by substitution. System: 1) - \( x - 2y = 4 \) - \( y = 3 \) Options: - A) \((3, 2)\) - B) \((2, 3)\) - C) \((-2, 3)\) - D) \((-10, 3)\) ### Question 2 Solve the system of equations by graphing. System: - \( 2x + y = -5 \) - \( x = -2 \) **Graph Explanation:** The graph is a standard Cartesian plane with x and y axes, both marked from -10 to 10. The lines represented by the equations need to be plotted on this graph to find their intersection point. Options: - A) \((-1, -2)\) - B) \((-2, -1)\) - C) \((2, 1)\) - D) No solution ### Short Answer Write the word or phrase that best completes each statement or answers the question. ### Question 3 Solve the system of equations by elimination. System: - \( 8x - 4y = 10 \) \[ \text{Answer: } \_\_\_\_\_\_\_\_\_\_\_ \]
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