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Which of the following is the value of y that solves the system of equations shown below?
(1) -5
(3) 6
3x + 4y = 16
(2) 8
(4) -2
x + y =16


Answer :

Answer:

(4) -2

Explanation:

Given the system of equations:

[tex]\begin{gathered} 3x+4y=16 \\ x+y=6 \end{gathered}[/tex]

Set x as the subject in the second equation: x=6-y

Substitute x=6-y into the first equation:

[tex]\begin{gathered} 3x+4y=16 \\ 3(6-y)+4y=16 \\ 18-3y+4y=16 \\ y=16-18 \\ y=-2 \end{gathered}[/tex]

The value of y that solves the system of equations is -2.