Question

Find the weather the lines representing following pairs of linear equation intersect point are parallel or coincident 5x_4y+8=0 7x+6y-9=0

Answer 1

Step-by-step explanation:

Given:

5x-4y+8=0

7x+6y-9=0

To find: Find the whether the lines representing following pairs of linear equations have intersect point are parallel or coincident.

Solution:

If the ratio of coefficients of x,y and constant terms are not equal then lines are intersecting.

$\frac{a_1}{a_2} \neq \frac{b_1}{b_2} \neq \frac{c_1}{c_2}$

here

$a_1 = 5 \\ b_1 = - 4 \\ c_1 = 8 \\ a_2 = 7 \\ b_2 = 6 \\ c_2 = -9$

find the ratio of coefficients

$\frac{5}{7} \neq \frac{ - 4}{6} \neq \frac{8}{-9} \\ \\ or \\ \\ \frac{5}{7} \neq \frac{ - 2}{3} \neq \frac{-8}{9}$

Thus,lines are intersecting.

Final answer:

Given pair of linear equations are intersecting lines.

Hope it helps you.

To learn more:

1)Solve the following pair of linear equations graphically. Also write the observations.

(ii) x + 2y = 4 ; 2x + 4y = 12

https://brainly.in/question/41692833

2) refer to the attachment plz ans with full explanation✌️

https://brainly.in/question/43704860