Question

Explain or show that the point (−1, 4) is a solution to this system of equations: {−5x 2y=133x y=1

Answer 1

The point (-1, 4) is a solution to the system of equations by substituting -1 for x and 4 for y in each equation and verifying that both equations hold true.

Step-by-step explanation:

To determine if the point (-1, 4) is a solution to the system of equations:

• -5x + 2y = 13
• 3x + y = 1

We substitute x with -1 and y with 4 in each equation.

For the first equation:

• -5(-1) + 2(4) = 5 + 8 = 13

For the second equation:

• 3(-1) + 4 = -3 + 4 = 1

Since both equations are true when x = -1 and y = 4, the point (-1, 4) is indeed a solution to the system.