Question

Solve the system using the addition method. Write your answer as an ordered pair.If there is no solution, write NS for your answer.s 6x + 5y = 251 4x – 5y = 15Answer 2 PointsKeypadKeyboard Shortcuts

Answer 1

Given:

`\begin{gathered} 6x+5y=25\ldots\ldots\ldots\ldots(1) \\ 4x-5y=15\ldots\ldots\ldots\ldots(2) \end{gathered}`

To find: The value of x and y

Step-by-step explanation:

Adding (1) and (2) we get,

`\begin{gathered} 6x+5y+4x-5y=25+15 \\ 10x=40 \\ x=4 \end{gathered}`

Substitute x=4 in equation (2) we get,

`\begin{gathered} 6(4)+5y=25 \\ 24+_{}5y=25 \\ 5y=25-24 \\ 5y=1 \\ y=(1)/(5) \end{gathered}`

Hence, the solution is,

`(4,(1)/(5))`

Final answer:

`(4,(1)/(5))`