Question

A system of equations has no solution. If y=8x+7 is one of the equations, which could be the other equations

Answer 1

Since the system does not have a solution then it means they belong of the family of parallel lines

Parallel lines will never intersect each other
Let us compare this equation to a more general form
i.e y=mx+c
where m is the slope of the line
Comparing we get
m=8
c=7
Since the lines are parallel so the slopes would be same
Now ,
m would be same
So the other equation can be of the form
y=8x+c
Where c can be any integer except 7
(Since 7 would make the same equation)

y=8x+c will be the equation of any one of those lines
where c can be 1,2,3...


 

Answer 2

HELLO DEAR,


A system of equations has no solution when the lines representing the equation are parallel but do not coincide. For two lines to be parallel, the must have the same gradient i.e. coeficient of x when y is made the subject of formular must be equal.
If one of the equations is y = 8x + 7, then the other equation will be y = 8x - 7


I HOPE ITS HELP YOU DEAR,
THANKS