jacobe0008
contestada

Which statement justifies the given ordered pair as a solution to the system of equations?

​ (−1, −13)
​
{y=3x−10y=−2x−15




{−1=3(−13)−10−1=−2(−13)−15

{−13=3(−1)−10−13=−2(−1)−15

{1=3(13)−101=−2(13)−15

{13=3(1)−1013=−2(1)−15

Respuesta :

texaschic101
(-1,-13).....x = -1 and y = -13

y = 3x - 10y = -2x - 15
-13 = 3(-1) - 10(-13) = -2(-1) - 15...answer is B.

kudzordzifrancis
ANSWER

[tex] - 13= 3( - 1) - 10[/tex]
[tex] - 13 = - 2( - 1) - 15[/tex]



EXPLANATION

The given system is

[tex]y = 3x - 10[/tex]
and

[tex]y = - 2x - 15[/tex]

The solution to the system is

[tex](-1,-13)[/tex]


This implies that,

[tex]x = - 1 \: and \: y = - 13[/tex]


To justify this solution means we substitute,

[tex]x = - 1 \: and \: y = - 13[/tex]
into the given system.


When substitute into the first equation we get


[tex] - 13= 3( - 1) - 10[/tex]
When we substitute into the second equation, we obtain,

[tex] - 13 = - 2( - 1) - 15[/tex]


The correct answer is B.

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