Question

Fiona wrote the linear equation y = x – 5. when henry wrote his equation, they discovered that his equation had all the same solutions as fiona’s. which
equation could be henry’s?

Answer 1

I would go with A but I am not 100% sure so you may want to check however you can.

Answer 2

Answer with explanation:

The options are

      $(A) x- \frac{5 y}{4} =\frac{25}{4}(B) x- \frac{5 y}{2} =\frac{25}{4}(C) x-\frac{5 y}{4} =\frac{25}{2}(D) x-\frac{5 y}{2} =\frac{25}{2}$

Equation wrote by ,Fiona is:

    y = x -5

The equation which has same solution that Fiona has written,will be coincident with the equation of line that Fiona has written.

And,Equation of that line will be:

   Multiply equation 1, by any real number , k,where, k≠0.

⇒k y= k x- 5 k

This should be ,equation that had  the same solutions as Fiona’s,where k can take any real number but not 0.

None of the Option