Question

How would I solve this im very confused on how to even start

Answer 1

We are given the system of equations;

`\begin{gathered} 6r+7s=-1---(1) \\ 2r+4s=-12---(2) \end{gathered}`

To solve a system of equations by the substitution method, we need to check and ensure that at least one of the variables has a coefficient of 1. This way it is easier to substitute the value of that variable into the other equation. For example, where we have;

`x+2y=1`

Note that x has a coefficient of 1. Therefore we can now re-write this as;

`x=1-2y`

We simply take x as (1 - 2y) and substitute this wherever we see x in the other equation.

Now for the equations given we can reduce the second one by dividing all through by 2