Question

2x/5 - y/2 = 2 ; x/3 - y/2 = 1 find the value of m if y = mx +5

Answer 1

Answer:

• The value of m is 1/5.

Given:

• The given equations are

1. 2x/5 - y/2 = 2
2. x/3 - y/2 = 1

• y = mx + 5

To find:

• The value of m.

Solution:

2x/5 - y/2 = 2...(1)

x/3 - y/2 = 1...(2)

Subtract equation (2) from equation (1), we get

2x/5 - y/2 = 2

-

x/3 - y/2 = 1

___________

2x/5 - x/3 = 1

Multiply the equation throughout by 15, we get

=> 6x - 5x = 15

=> x = 15

Substitute x = 15 in equation (2), we get

15/3 - y/2 = 1

=> 5 - y/2 = 1

=> -y/2 = -4

=> y = 8

But,

>> y = mx + 5

Substituting the values of x and y, we get

>> 8 = m (15) + 5

>> m = 3/15

>> m = 1/5

The value of m is 1/5.