Question

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

Answer 1

Answer: Y = 8X - 7

Explanation:

A system of equations with no solution, means the two lines are parallel to each other.

If parallel to each other, they will have common gradient but different intercept.

Answer 2

The other line is y= 8x - 7

Explanation:

The given equation in two variable is

y= 8x ± 7

The two equations in two variables are:

Ax + By +C=0

P x + Q y +R=0

Now, the condition that these two equations has no solution is if;

A/P = B/Q ≠ P/R

Another condition is in terms of line , if the two lines have same slope.

For example, y= ax + b and , y = ax + p are two lines having same slope means they are parallel, that is they will never intersect.

If the line is , y = 8x + 7, the other line will be, y= 8x - 7