Respuesta :

Answer:

(x, y) = (8, 6)

Step-by-step explanation:

given the 2 equations

2x - y = 10 → (1)

2x - 2y = 4 → (2)

rearrange equation (1) expressing y in terms of x

y = 2x - 10 → (3)

Substitute y = 2x - 10 in equation (2)

2x - 2(2x - 10) = 4

2x - 4x + 20 = 4

- 2x + 20 = 4 ( subtract 20 from both sides )

- 2x = - 16 ( divide both sides by - 2 )

x = 8

substitute x = 8 in equation (3)

y = (2 × 8) - 10 = 16 - 10 = 6

solution is (8 , 6)


kudzordzifrancis
ANSWER

The correct ordered pair is
[tex](8,6).[/tex]



EXPLANATION

The given equations are
[tex]2x - y = 10[/tex]


We make y the subject and call it equation (1).


Thus,

[tex] - y = - 2x + 10[/tex]


This implies that,


[tex]y = 2x - 10 - - - (1)[/tex]


The second equation is

[tex]2x - 2y = 4 - - - (2)[/tex]


We substitute equation (1) into equation (2).

[tex]2x - 2(2x - 10) = 4[/tex]


We expand brackets to obtain,

[tex]2x - 4x + 20 = 4[/tex]


This implies that,

[tex]2x - 4x= 4 - 20[/tex]


[tex] - 2x = - 16[/tex]

[tex]x = 8[/tex]


We put this value in to equation (1) to get,

[tex]y = 2(8) - 10[/tex]

[tex]y = 16 - 10[/tex]


[tex]y = 6[/tex]


The correct orders pair is
[tex](8,6)[/tex]