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

From my research, the original equation Fiona wrote was "y = (2/5)x - 5". It also had choices as written below:

x – 5/4y = 25/4

x –5/2 y = 25/4

x –5/4 y = 25/2

x –5/2 y = 25/2

To obtain the possible equation Henry had written, the coefficient of x was removed, and the equation was placed in the form x + y = c. This is shown as follows:

y = (2/5) x – 5
[ y = (2/5) x – 5 ] (5/2)
(5/2)y = x - 25/2
x - (5/2)y = 25/2

Therefore, Henry's equation is x – (5/2) y = 25/2.