The lines 9x – 7y = 24 and 3x + y = -2 intersect at ([tex]\frac{1}{3}[/tex], -3).
What is Intersection point?
That is the common point, from where both the lines passes through at the same time.
Given lines:
9x – 7y = 24 (say eq. 1)
and 3x + y = -2 (say eq. 2)
Multiply eq. 2 with 3 and then subtract from eq. 1 :
Multiply eq. 2 with 3
⇒ 3 x (3x + y = -2 ) = 9x + 3y = -6
subtract eq. 2 from eq. 1:
9x – 7y = 24
- (9x + 3y = -6 )
= -10y = 30
or y = 3
put y = 3 in eq. 1, we get:
9x -7 (3) = 24
9x = 24 - 21 = 3
x = [tex]\frac{1}{3}[/tex]
Hence the intersection point of both lines is ([tex]\frac{1}{3}[/tex], -3).
To learn more about intersection, refer to the link:
https://brainly.com/question/14217061
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