Question

Select the correct answer from the drop-down menu.Find the solution set for the system of equations.

Answer 1

Given:

9x+5y=28

5x+9y=56

Required:

To calculate the solution of the system

Step-by-step explanation:

Rearrange like terms to the same side of the equation

`\begin{gathered} 5x=28-9x \\ \\ 5x+9y=56 \\ \\ y=(28-9x)/(5) \\ \\ 5x+9y=56 \\ \\ substitute\text{ in the equation } \\ \\ 5x+9*(28-9x)/(5)=56 \\ \\ x=(-1)/(2) \end{gathered}`
`\begin{gathered} substitute\text{ value in y} \\ \\ y=(28-9*((-1)/(2))/(5) \\ \\ y=(13)/(2) \end{gathered}`

Required answer:

Option B