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elixir [45]
3 years ago
7

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

Mathematics
2 answers:
Mariulka [41]3 years ago
5 0

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.

Sergeeva-Olga [200]3 years ago
4 0
25 - 4x = 15 - 2x + 10
-10                        - 10 
15 - 4x = 15 - 2x
-15          -15
-4x = - 2x
no solution 
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