Solve each equation and show your work. 25-4x=15-3x+10-x
2 answers:
25 - 4x = 15 - 3x + 10 - x
25 = 15 - 3x + 10 - x + 4x
25 - 15 - 10 = -3x - x + 4x
0 = 0
Infinitely many solutions
1. add the numbers → 25-4x = 15-3x+10-x
↓
25-4x = 25-3x-x
2. collect like terms 25-4x = 25-3x-x
↓
25-4x = 25-4x
3. the statement is true because if you subtract 25 from both side you are left with
-4x = -4x
then you would divide both sides by -4 to get
x=x which has infinitely many solutions and is rational/true
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