Question

How many solutions does 25-4x=15-3x+10-x have

Answer 1

Answer:  The given equation will have infinite number of solutions.

Step-by-step explanation:  We are given to check the number of solutions to the following equation :

$25-4x=15-3x+10-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the number of solutions, we must solve the given equation.

The solution of equation (i) is

$25-4x=15-3x+10-x\\\\\Rightarrow 25-4x=25-4x\\\\\Rightarrow 4x-4x=25-25\\\\\Rightarrow 0=0,$ which is always true.

Thus, the given equation will have infinite number of solutions.

Answer 2

25 - 4x = 15 - 2x + 10
-10                        - 10 
15 - 4x = 15 - 2x
-15          -15
-4x = - 2x
no solution