How do you solve #x^2+y^2=109# and #x-y= - 7# using substitution?
4 Answers
Explanation:
Sub.ing in,
Using
These roots satisfy the given eqns.
Explanation:
Rearrange
Now substitute "
Expand the bracket:
Collect like terms:
subtract 109 from both sides:
Factorise:
so
then
Now put these two values into
when
when
So the answers are:
and
Express the implicit relation in terms of one variable only. See method below.
Explanation:
You have two equations:
You can express
Since
Using this substitution we can write
This will give us a quadratic expression where we can solve for
Simplifying this we get:
This can be factorized to
We can then solve for
If
If
Explanation:
Given
[1]
[2]
Note that [2] implies
[3]
Substituting
[4]
Expanding and simplifying the left side of [4]
[5]
Converting to standard polynomial form by subtracting
[6]
Factoring
[7]
Which implies: