Question

choose a variable to isolate and what it is equal to in the system of equations below?4x=y+44y=3x-1(a) 4y=4x-1(b) y=4x-4(c) y=4x+3(d) 2y=x-3

Answer 1

$\begin{gathered} 4x=y+4\text{ (1)} \\ 4y=3x-1\text{ (2)} \end{gathered}$

From (1), let's solve for x:

$\begin{gathered} x=\frac{y+4}{4} \\ x=\frac{y}{4}+1 \end{gathered}$

replace the value of x into (2):

$\begin{gathered} 4(\frac{y}{4}+1)=3x-1 \\ y+4=3x-1 \\ y=3x-5 \end{gathered}$

From (1):

$y=4x-4$