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3 years ago

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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