All youve gotta do is solve for x or y and then substitute
watch
Now
since y=y
How's that?
Find the points of intersection of the graphs in the system.
x^2= 6y
y= -x
Please show me step by step how to solve this. The answers in the back of the book are
(0,0) and (-6,6).
EDIT:
Help also appreciated with the following problem:
x^2 + y^2 = 20
y= x-4
Find points of intersection.
Hello cuandoyandoA point on any graph is represented by a value of and a value of which are connected by the equation of the graph - in other words these values of and 'satisfy' the equation of the graph. We can find where two graphs intersect if we can find a value of and a value of which satisfy the equations of both graphs at the same time. The two equations you have are:
and
So we need to find values of and that satisfy both these equations at the same time.
Now if , then . So if, at the same time, , then we must have:
or
So, bearing in mind that :
When , and when .
So the points where the graphs intersect are and .
Use the same technique here. If , then we can replace by in the equation (in other words, substitute for ) to get:Help also appreciated with the following problem:
x^2 + y^2 = 20
y= x-4
Find points of intersection.
Can you continue? (You'll need to expand the brackets, simplify and the solve the quadratic equation by formula.)
Grandad