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Which number makes both

equations true?
(5 x 2) × 3 = 5 x (x 3)
X
(3x) x 4 = 3 × (2 X 4)
0

1 Answer

3 votes

Final answer:

The number that makes both equations true is 2, as we simplify the given equations to find that x = 2 in both cases.

Step-by-step explanation:

The student is seeking to find the number that satisfies both given equations. To solve this, we should first simplify and examine each equation individually. The equations presented are:

  • (5 x 2) × 3 = 5 x (x 3)
  • (3x) x 4 = 3 × (2 x 4)

The goal is to find a common value of x that would make both equations true when substituted for x.

The first equation simplifies to 10 × 3 = 5x × 3, which implies that 5x = 10. This simplifies further to x = 2. For the second equation, (3x) × 4 = 3 × 8, we can simplify to 12x = 24, which gives us x = 2 once more. Therefore, the number 2 makes both equations true.

The equality of mathematical equations and the properties of multiplication are fundamental concepts used to solve problems like these.

User Anna Melzer
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