Question

need this asap What is the x-coordinate of the solution to this system of equations: 4x + y = 2 x - y = 3

Answer 1

Given the following system of equations:

$\begin{cases}4x+y=2 \\ x-y=3\end{cases}$

to find the x-cooridnate of the solution, we can solve for 'y' the first equation to get the following:

$\begin{gathered} 4x+y=2 \\ \Rightarrow y=2-4x \end{gathered}$

next, we use this value on the second equation to get the following expression:

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

simplifying we get the following:

$\begin{gathered} x-(2-4x)=3 \\ \Rightarrow x-2+4x=3 \\ \Rightarrow x+4x=2+3 \\ \Rightarrow5x=5 \\ \Rightarrow x=\frac{5}{5}=1 \\ x=1 \end{gathered}$

therefore, the x-coordinate of the solution to the system of equations is x = 1