Question

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 1

(4) -2

Step-by-step explanation:

Given the system of equations:

`\begin{gathered} 3x+4y=16 \\ x+y=6 \end{gathered}`

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

Substitute x=6-y into the first equation:

`\begin{gathered} 3x+4y=16 \\ 3(6-y)+4y=16 \\ 18-3y+4y=16 \\ y=16-18 \\ y=-2 \end{gathered}`

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