Question

Solve the system of equations (show ALL work!). What is the value of x?y = x - 105x + y = 32A. 8B. 7C. -2D. -3

Answer 1

`x=7`

Explanation:

Solve the following system of equations.

`\begin{gathered} y=x-10\text{ (1)} \\ 5x+y=32\text{ (2)} \end{gathered}`

Notice that ''y'' is isolated in equation (1). Then, substitute it into equation (2). Solve it using inverse operations to solve equations:

`\begin{gathered} 5x+(x-10)=32 \\ 5x+x-10=32 \\ 6x=32+10 \\ x=(42)/(6) \\ x=7 \end{gathered}`