Answer:
y-intercept = 3
Step-by-step explanation:
The given equation is :
6x-5y=-15
We can rewrite it ib slope-intercept form as follows :
Dividing both sides by 5
.....(1)
The general equation of slope-intercept form is:
y = mx +c ....(2)
On comparing equation (1) and (2) we get :
m = 6/5
c = 3
Hence, the y intercept of the graph of the equation is 3.
Add 1 to both sides:
In cases like this, we have to remember that a root is always positive, so we can square both sides only assuming that
Under this assumption, we square both sides and we have
The solutions to this equation are
But since we can only accept solutions greater than -1, we discard and accept
.
In fact, we have
and
which is the only solution.
We have expression that renders the system of inequalities,
Which can be simplified to,
So what we get is something greater than -1 and at the same time greater or equal to 5, so the solution is,
.
Hope this helps.