Question

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

Answer 1

Answer:

x = 2 , y = - 2

Step-by-step 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

Answer:

The solution of the linear system is:

$x = 2$ and $y = -2$

Step-by-step 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 $y = -2$