Question

(50 points)(please make sure you know what you're doing)(absurd answers will be reported)

Find an equivalent system of equations for the following system:

2x + 4y = 4
−5x + 5y = 5


2x + 4y = 4
−3x + y = −1

2x + 4y = 4
7x + 5y = −1

2x + 4y = 4
7x − y = 5

2x + 4y = 4
7x − y = −1

Answer 1

see below

Explanation:

Putting each equation in standard form is a good start.

1. Divide the first equation by 2. Divide the second equation by -5.

• x +2y = 2
• x - y = -1

2. Divide the first equation by 2; multiply the second by -1.

• x +2y = 2
• 3x -y = 1

3. Divide the first equation by 2.

• x +2y = 2
• 7x +5y = -1

4. Divide the first equation by 2.

• x +2y = 2
• 7x -y = 5

5. Divide the first equation by 2.

• x +2y = 2
• 7x -y = -1