Question

Which values of P and Q result in an equation with no solutions?

Px+Q=14x−23

A. P=−23 and Q= -14

B. P= -14 and Q= 23

C. P= 14 and Q= -23

D. P= 14 and Q= 23

Answer 1

The answer is D. P=14 and Q=23. I hope this helps you!
You can work it out if you want to!
Just substitute the variable Q and P.

Answer 2

Answer: C. P= 14 and Q= -23

D. P = 14 and Q = 23

Explanation:

If an equation is not giving any solution then it is said the equation has no solution.

(Or after solving an algebraic equation we can not get any value of the variable)

Here, the given equation,

Px+Q=14x−23

For, P=−23 and Q= -14

-23 x - 14 = 14 x - 23

-37 x = - 9

x = 9/37

The equation has a solution,

For, P= -14 and Q= 23

-14 x - 23 = 14 x - 23

-28 x = 0

x = 0

The equation has a solution,

For, P= 14 and Q= -23,

14 x - 23 = 14 x - 23

- 23 = - 23,

The value of x could not find by this equation.

⇒ The equation has no solution.

For, P = 14, Q = 23,

14 x + 23 = 14 x - 23

23 = - 23 ( False )

The equation has no solution.