Question

Find a & b if the point p(6,4)&q(2,3) lie on the graph of ax+by=20

Answer 1

Answer attached in file, Thank you for joining Brainly community.

Answer 2

Answer:

a = - 2 , b = 8

Step-by-step explanation:

Since the points p and q lie on the graph then they satisfy the equation

(6, 4 ) , substitute x = 6 , y = 4 into the equation

6a + 4b = 20 → (1)

(2, 3 ) , substitute x = 2, y = 3 into the equation

2a + 3b = 20 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate a

- 6a - 9b = - 60 → (3)

add (1) and (3) term by term to eliminate a

0 - 5b = - 40

- 5b = - 40 ( divide both sides by - 5 )

b = 8

Substitute b = 8 into either of the 2 equations and solve for a

Substituting into (1)

6a + 4(8) = 20

6a + 32 = 20 ( subtract 32 from both sides )

6a = - 12 ( divide both sides by 6 )

a = - 2