Question

9. Find the x coordinates where the line y = 3x-2 intersects the circle x + y = 116. Only an algebraicsolution is acceptable.

Answer 1

As given by the question

There are given that the y intersect and equation of circle is:

`\begin{gathered} y-\text{intersect: y=3x-2} \\ Circle\colon x+y=116 \end{gathered}`

Now,

From the equation of the circle

`x+y=116`

Then,

Substitute the value of y which is given in the question, into the given equation of a circle:

So,