Question

What is the value of x in the solution to the system of equations below?2x+3y=112x+y=1

Answer 1

Answer:

x=-2

Explanation:

Given the system of equations:

$\begin{gathered} 2x+y=1 \\ 2x+3y=11 \end{gathered}$

We use the method of elimination by subtracting.

This gives us:

$\begin{gathered} -2y=-10 \\ y=\frac{-10}{-2} \\ y=5 \end{gathered}$

We then substitute y=5 into any of the equations to solve for x.

$\begin{gathered} 2x+y=1 \\ 2x+5=1 \\ 2x=1-5 \\ 2x=-4 \\ x=-\frac{4}{2} \\ x=-2 \end{gathered}$

Therefore, the value of x in the solution to the system of equations is -2.