Question

If the points A(3,5) and B(1,4) lie on the graph of the line ax+by = 7, find the values of a and b.

Answer 1

Answer:

a = -1

b = 2

Step-by-step explanation:

Given there are two points

A =(3,5)

B = (1,4)

Also, there is a line having equation,

ax + by = 7

To find the value of a and b.

Now, it's given that,

These two points lie on the given line.

Therefore, they will satisfy the eqn of line.

Therefore, we will get,

=> 3a + 5b = 7 .....(1)

=> a + 4b = 7 ......(2)

Multiplying eqn (2) by 3 , we get

=> 3a + 12b = 21 ......(3)

Subtracting eqn (1) from (3), we get

=> 12b - 5b = 21 - 7

=> 7b = 14

=> b = 14/7

=> b = 2

Substituting this value in eqn (2), we get

=> a + 4(2) = 7

=> a + 8 = 7

=> a = 7 - 8

=> a = -1

Hence, the values of a = -1 and b = 2.

Answer 2

see the image

answer is a= -1

b= 2