is (-1, 5) a solution to 2 x = y - 7 and 2 y = - x + 9
yes
agree
To check if (-1, 5) is a solution to the given system of equations, substitute x = -1 and y = 5 into both equations and see if they are true.
For the first equation, 2x = y - 7, substitute x = -1 and y = 5:
2(-1) = 5 - 7
-2 = -2
The equation is true, so (-1, 5) satisfies the first equation, 2x = y - 7.
For the second equation, 2y = -x + 9, substitute x = -1 and y = 5:
2(5) = -(-1) + 9
10 = 1 + 9
10 = 10
The equation is true, so (-1, 5) satisfies the second equation, 2y = -x + 9.
Since (-1, 5) satisfies both equations of the system, it is a solution to the system of equations.