Question

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

Answer 1

To solve the system

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you have to add both equations:

`2x+y-10+x-y-4=0+0,\\ 3x-14=0,\\ 3x=14,\\ \\x=(14)/(3)`.

Substitute this x-value into second equation:

`(14)/(3) -y-4=0,\\ y=(14)/(3) -4=(14-12)/(3)=(2)/(3)`.

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

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