gavinclift21 gavinclift21
  • 15-08-2018
  • Mathematics
contestada

Solve the system algebraically. 2x + y - 10 = 0 x - y - 4 = 0 What is the value of y? 1/3 2/3 14/3

Respuesta :

frika
frika frika
  • 15-08-2018

To solve the system

[tex] \left\{\begin{array}{c}
2x+y-10=0 \\
x-y-4=0
\end{array}\right. [/tex]

you have to add both equations:

[tex] 2x+y-10+x-y-4=0+0,\\ 3x-14=0,\\ 3x=14,\\ \\x=\dfrac{14}{3} [/tex].

Substitute this x-value into second equation:

[tex] \dfrac{14}{3} -y-4=0,\\ y=\dfrac{14}{3} -4=\dfrac{14-12}{3}=\dfrac{2}{3} [/tex].

The solution of the system is x=14/3 and y=2/3.

Answer: y=2/3, correct choice is B.

Answer Link
joshuamorris0806 joshuamorris0806
  • 22-02-2021

Answer:

b is correct

Step-by-step explanation:

Answer Link

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