Question
Y=-5//3x+25 Y=1//3x+4
Solution
4.4
(270 Votes)
Alexandra
Master ยท Tutor for 5 years
Answer
1.
,
Explanation
1. To find the point of intersection of the two lines given by the equations
and
, we set the right-hand sides of these equations equal to each other and solve for
:
2. We add
to both sides of the equation to isolate
terms on one side:
3. Combining the
terms on the right side gives:
4. We then subtract 4 from both sides to find:
5. Dividing both sides by
(or 2) gives:
6. Now that we have found
, we can find
by substituting
into either of the original equations. Using the second equation:
7. Simplifying further gives:
8. Therefore, the point of intersection of the two lines is \( \left(\frac{21}{2}, \frac{15}{2}\right) \).