Question

X+y=9.35 5x-y=8.75how to solve this math problem

Answer 1

x = 3.02 and y = 6.33

Here, we want to solve both equations simultaneously

We proceed as follows;

`\begin{gathered} x\text{ + y = 9.35} \\ 5x-y\text{ = 8.75} \\ \\ \text{Add both equations;} \\ \\ (x\text{ + 5x) + (y-y) = (9.35 + 8.75)} \\ \\ 6x\text{ = 18.1} \\ \\ x\text{ = }(18.1)/(6) \\ \\ x\text{ = 3.02} \end{gathered}`

From the first equation, we can rewrite for y as;

`\begin{gathered} y\text{ = 9.35 - x} \\ \\ \text{Substitute the value of x from above} \\ \\ y\text{ = 9.35 - 3.02} \\ \\ y\text{ = 6.33} \end{gathered}`