is (5,-1) a solution to the system of these linear equations: x + y = 4 and 2x + 3y = 7? why?

Answer 1

To determine if the point (5,-1) is a solution to the system of equations, we can plug in the values of x and y into the equations and see if they are true.

For the first equation x + y = 4:

5 + (-1) = 4
4 = 4

This is true, so (5, -1) satisfies the first equation.

For the second equation 2x + 3y = 7:

2(5) + 3(-1) = 7
10 - 3 = 7
7 = 7

This is also true, so (5, -1) satisfies the second equation as well.

Since (5, -1) satisfies both equations in the system, it is a solution to the system of equations.