Question

For homework, Randall is solving the system of linear equations in the box.

Answer 1

The given system of equation is

`\begin{gathered} 3x+4y=25\rightarrow(1) \\ 4x-7y=-16\rightarrow(2) \end{gathered}`

To solve the system we can find y in terms of x and the numerical term

`\begin{gathered} 4y=25-3x \\ y=(25-3x)/(4)\rightarrow(3) \end{gathered}`

Now, we can substitute y in equation (2) by equation (3)

`4x-7((25-3x)/(4))=-16`

Then the correct answer is A (first choice)