(4,−3)

Question

is the correct solution to which system?(1 point)
Responses

7x−9y=55

3x− 9y=−15
7 x minus 9 y equals 55 3 x minus 9 y equals negative 15

7x+9y=55

3x−9y=−15
7 x plus 9 y equals 55 3 x minus 9 y equals negative 15

7x−9y=55

3x+ 9y=−15
7 x minus 9 y equals 55 3 x plus 9 y equals negative 15

7x+9y=55

3x+ 9y=−15

Answer 1

To determine which system has the solution (4, -3), we need to verify if this point satisfies both equations in each option.

Let's check each system one by one.

Option 1:

1. \(7x - 9y = 55\)
   • \(7(4) - 9(-3) = 28 + 27 = 55\) (True)
2. \(3x - 9y = -15\)
   • \(3(4) - 9(-3) = 12 + 27 = 39 \neq -15\) (False)

Option 2:

1. \(7x + 9y = 55\)
   • \(7(4) + 9(-3) = 28 - 27 = 1 \neq 55\) (False)
2. \(3x - 9y = -15\)
   • \(3(4) - 9(-3) = 12 + 27 = 39 \neq -15\) (False)

Option 3:

1. \(7x - 9y = 55\)
   • \(7(4) - 9(-3) = 28 + 27 = 55\) (True)
2. \(3x + 9y = -15\)
   • \(3(4) + 9(-3) = 12 - 27 = -15\) (True)

Option 4:

1. \(7x + 9y = 55\)
   • \(7(4) + 9(-3) = 28 - 27 = 1 \neq 55\) (False)
2. \(3x + 9y = -15\)
   • \(3(4) + 9(-3) = 12 - 27 = -15\) (True)

The correct system that (4, −3) satisfies is Option 3:

• \(7x - 9y = 55\)
• \(3x + 9y = -15\)