Question

Is ( – 3,2) a solution to this system of equations? 19x 20y= – 17 9x 7y= – 13

Options:
Option 1: Yes
Option 2: No
Option 3: Maybe
Option 4: Cannot be determined

Answer 1

Yes, ( -3,2) is a solution to the system of equations.

Step-by-step explanation:

To determine if ( -3,2) is a solution to the system of equations 19x + 20y = -17 and 9x + 7y = -13, we substitute the values of x and y into both equations:

For the first equation: 19(-3) + 20(2) = -17

Simplifying, we get: -57 + 40 = -17

-17 = -17, which is true.

For the second equation: 9(-3) + 7(2) = -13

Simplifying, we get: -27 + 14 = -13

-13 = -13, which is also true.

Since the values of x and y satisfy both equations, ( -3,2) is indeed a solution to the system of equations.