Question

-60w-169x=-11
19w+39x=2

Answer 1

To solve the system of equations:

`\begin{cases}-60w-169x=-11\\19w+39x=2\end{cases}`

I can use the elimination method. First, i need to multiply the second equation by 4 to get:

`\begin{cases}-60w-169x=-11\\76w+156x=8\end{cases}`

Now, i can add the two equations to eliminate

`w`

`-13x=-3`

Thus,

`x=(3)/(13)`

Substituting this value into the second equation, i get:

`19w+39\cdot(3)/(13)=2`

Simplifying, i get:

`w=-(117)/(247)`

Therefore, the solution to the system of equations is:

`\begin{cases}w=-(117)/(247)\\x=(3)/(13)\end{cases}`