Answer: Answer is x = 5, y = -3
(5, -3)
Step-by-step explanation: The instruction is to use the substitution method, and from the first equation,
y = x - 8
This means we replace the value of y in the second equation with x - 8. Hence;
2x + 3y = 1 can now be re-written as
2x + 3(x - 8) = 1
2x + 3x - 24) = 1
5x - 24 = 1
Add 24 to both sides of the equation
5x -24 + 24 = 1 + 24
5x = 25
Divide both sides of the equation by 5
x = 5
Having calculated x as 5, we can now substitute for the value of x in the first equation
y = x - 8 now becomes
y = 5 -8
y = -3
