Question

Which ordered pair represents the solution to both equations- (0,2) (8,0)?

A) (0,-3)
B)(4,7)
C) (2,0)
D)(3,-2)​

Answer 1

The ordered pair (0,2) is not a solution to both equations.

Step-by-step explanation:

The ordered pair (0,2) represents the solution to both equations.

To verify this, we can substitute the values of x and y from the ordered pair into both equations and check if the equations hold true.

Let's substitute x =0 and y = 2 into both equations:

For the first equation: y = -3x, substituting x = 0 and y = 2 gives: 2 = -3(0), which simplifies to 2 = 0. This equation is not true.

For the second equation: y = x - 2, substituting x = 0 and y = 2 gives: 2 = 0 - 2, which simplifies to 2 = -2. This equation is also not true.

Therefore, the ordered pair (0,2) is not a solution to both equations.

The correct answer is none of the given options.