Answer: (-5, -6) That is, x = -5 and y = -6
Step-by-step explanation: The pair of simultaneous equations are given as follows
y = 6x + 24 ———(1)
y = -2x - 16 ———(2)
The instruction is to use the substitution method, hence
Substitute for the value of y = -2x - 16 into equation (1)
-2x - 16 = 6x + 24
By collecting like terms we now have
-2x - 6x = 24 + 16
Remember when a negative value crosses to the other side of the equation it becomes positive and vice versa
-8x = 40
Divide both sides of the equation by -8
x = -5
Having found the value of x, substitute for the value of x into equation (2)
y = -2(-5) - 16
y = 10 - 16
y = -6
Therefore x = -5 and y = -6
