SchoolCrop

(Q5).Solve each pair of equations by using the substitution method.

x +
6

y
= 6

3x -
8

y
= 5

Given:

x +

6

y

= 6 .............(1)

3x -

8

y

= 5 ...............(2)

x +

6

y

= 6

From equation (1) x = –

Substituting x = –

in equation (2)

we get

3( -

y

) –

8

y

= 5

⇒ -

y

–

8

y

= 5

⇒

- -

y

= 5 -

⇒

-

y

= - ⇒ y =

-

-

=

Substituting y = in equation (1) we get

x +

6

= 6 ⇒ x + = 6

∴ x =

∴ The solution is (, )