Question

Answer the following:
Sale 2x/a + y/b = 2, x/a-y/b=4 by using the method
of substitution​

Answer 1

Answer:

• The values of x and y are 2a and -2b respectively.

Given:

• The given equations are 2x/a + y/b=2, x/a - y/b=4

To find:

• The values of x and y.

Solution:

2x/a + y/b=2...(1)

x/a - y/b=4...(2)

From equation (2), we get

y/b=x/a - 4

Substitute y/b=x/a - 4 in equation (1), we get

>> 2x/a + x/a - 4 = 2

>> 3x/a = 6

>> x = 2a...(1)

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

>> 2a/a - y/b = 4

>> 2 - y/b = 4

>> y/b = -2

>> y = -2b

The values of x and y are 2a and -2b respectively.