Question

Solve the system using the addition method 3x+2y=106x+4y=14A.(2,2)B.(1,2)C.Infinite solutions on the lineD. no solution

Answer 1

D. no solution​

Step-by-step explanation:

Using the addition method we add the two equations.

First, we multiply the first equation by -2 to get

`\begin{gathered} -2(3x+2y=10) \\ -6x-4y=-20 \end{gathered}`

and now we add the system

`\begin{gathered} -6x-4y=-20 \\ 6x+4y=14 \\ ------------ \\ 0+0=-6 \\ \end{gathered}`

0= -6 is not true, and therefore, the equation given has no solutions.