Question

PLEASE HELP

Solve using linear combination 8x + y = 14 3x + y = 4

Answer 1

x = 2 , y = - 2

Explanation:

8x + y = 14 ......,.......1

3x + y = 4.................2

Use elimination method, we subtract equation 2 from 1, which yields;

5x + 0 = 10

: 5x = 10 : X = 2

Substituting X value in equation 1 we have

8(2) + y = 14

: 16 + y = 14

y = 14 - 16 = - 2

∴ x = 2 , y = - 2

Answer 2

The solution of the linear system is:

`x = 2` and
`y = -2`

Explanation:

The following linear equation is solved as follows:

`8\cdot x + y = 14`

`3\cdot x + y = 4`

After some algebraic manipulation:

`y = 14 - 8\cdot x`

`y = 4 - 3\cdot x`

`14 - 8\cdot x = 4 - 3\cdot x`

`10 = 5\cdot x`

`5\cdot x = 10`

`x = 2`

And finally,

`y = 4 - 3\cdot (2)`

`y = -2`

The solution of the linear system is:

`x = 2` and
`y = -2`