Question

Eliminate the y in the following system of equations. What is the result when you add the two equations?{3x - 2y = 8{×+y=6A) x=-4B)4x=14C) 5x = 20D) 5x = 14

Answer 1

- The solution steps are given below:

`\begin{gathered} 3x-2y=8 \\ x+y=6 \\ \\ \text{ Multiply equation 2 by 2} \\ 2x+2y=12 \\ \\ \text{ Adding both Equations 1 and the new Equation 2} \\ \\ 3x-2y+2x+2y=8+12 \\ 3x+2x=20 \\ 5x=20\text{ \lparen OPTION C\rparen} \end{gathered}`

Final Answer

The answer is OPTION C