Answer:
x=15 and y=2
Step-by-step explanation:
The given system of equations is
8y - x = 1 ...............(i)
and
10 y = x + 5 ...............(ii)
Now from equation (ii)
10 y = x + 5
subtracting -5 from both sides
10 y - 5 = x + 5 - 5
10 y -5 = x
or
x = 10y -5 ............(iii)
Put this in equation (i)
it becomes
8y - (10y -5) = 1
8y-10y+5=1
-2y+5 =1
subtracting 5 from both sides
-2y + 5 -5 = 1 -5
-2y = -4
dividing both sides by -2 gives
-2y / -2 = -4 / -2
y = 2
We got the value of y putting it in equation (iii) to get the value of x
as from equation (iii)
x = 10y-5
x = 10(2) - 5
x = 20 -5
x = 15
So this is the solution from the equations
