Respuesta :
Answer:
Infinite solutions
Step-by-step explanation:
5(-3x-2)-(x-3)=-4(4x+5)+13
-15x-10-x+3=-16x-20+13
-16x-7=-16x-7
-16x=-16x
-x=-x
x=x
There are infinite many solutions
The equation 5(-3x-2)-(x-3)=-4(4x+5)+13 has infinitely many solutions
The given equation is:
5(-3x-2) - (x-3)=-4(4x+5) + 13
Expand each of the terms using distributive rule
5(-3x - 2) = -15x - 10
-4(4x + 5) = -16x - 20
The equation therefore becomes:
-15x - 10 -x + 3 = -16x - 20 + 13
Collect like terms:
-15x - x + 16x = -20 + 13 + 10 - 3
0x = 0
Since the right hand side equals the left hand side, the equation has infinitely many solutions
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