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How many solutions are there to the following equation?
5(x – 3) - 3x = 8x - 15 - 6x
Ο Α.
no solution
O
B. exactly one solution
O
C. exactly two solutions
o
D. infinitely many solutions

Sagot :

jiminparkarmy4

Answer:

D

Step-by-step explanation:

2x - 15 = 2x - 15

whatever the x we take the left and right side are the same

Amphitrite1040

Hey there!


5(x - 3) - 3x = 8x - 15 - 6x

DISTRIBUTE 5 WITHIN the PARENTHESES

5(x) + 5(-3) - 3x = 8x - 15 - 6x

5x - 15 - 3x = 8x - 15 - 6x

COMBINE the LIKE TERMS

2x - 15 = 2x - 15

SUBTRACT 2x to BOTH SIDES

2x - 13 - 2x = 2x - 15 - 2x


SIMPLIFY IT!

NEW EQUATION: -15 = -15


ADD 15 to BOTH SIDES

-15 + 15 = -15 + 15


SIMPLIFY IT!

0 = 0


Therefore, your answer is:

Option D. INFINITELY MANY SOLUTIONS

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

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