By definition,
Linear equation
Linear or first degree equations are of the type ax + b = y, with a≠0, or any other equation in which when operating, transposing terms and simplifying they adopt that expression.
A solution to an equation is a number that can be entered into the variable to make a true number statement.
This case
In this case, you know that the solution to a system of equations is (5,-19). This is, x=5 and y=-19.
Replacing the value of x in linear expressions, I can calculate the value of y and I must get that y=-19.
A. y=-3×5 -6 → y= -15 -6 → y= -21
B. y=2×5 -23 → y= 10-23 → y= -13
C. y=-7×5+16 → y= -35 +16 → y= -19
D. y=5-17 → y= -12
E. y=-2×5-9 → y= -10 -9 → y= -19
Observing the solutions obtained, the equations that satisfy the solution and make uo the system are option C. and E.
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