Question

Determine whether the ordered pair (-4,8) is a solution of these equations or not 5x+3y=4 x+4y=12

Answer 1

The ordered pair (-4,8) satisfies the first equation 5x+3y=4, but it does not satisfy the second equation x+4y=12. Therefore, it is not a solution to the system of equations.

Step-by-step explanation:

To determine whether the ordered pair (-4,8) is a solution to the equations 5x+3y=4 and x+4y=12, we can substitute x with -4 and y with 8 into both equations.

For the first equation 5x+3y=4:

1. 5(-4) + 3(8) = -20 + 24 = 4
2. The left side equals the right side, so (-4,8) satisfies the first equation.

For the second equation x+4y=12:

1. -4 + 4(8) = -4 + 32 = 28
2. The left side does not equal the right side, so (-4,8) does not satisfy the second equation.

Since the ordered pair (-4,8) does not satisfy both equations, it is not a solution to the system of equations.