Question

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

Answer 1

x=-2

Step-by-step 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=(-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=-(4)/(2) \\ x=-2 \end{gathered}`

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