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ser-zykov [4K]
2 years ago
6

Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box. Box (x minu

s 3) + 2 x = negative (x minus 5) + 4 Which number should she place in the box? –3 –1 1 3
Mathematics
2 answers:
Elenna [48]2 years ago
6 0

Answer:

The box should be replaced with 3

Step-by-step explanation:

Represent the box with n

Given

n(x - 3) + 2x = -(x - 5) + 4

Required

Determine the value of n

n(x - 3) + 2x = -(x - 5) + 4

Open Bracket:

n(x - 3) + 2x = -x + 5 + 4

n(x - 3) + 2x = -x + 9

Collect Like Terms

n(x - 3)  = -2x-x + 9

n(x - 3)  = -3x + 9

Factorize the expression on the left hand side

n(x - 3)  = -3(x - 3)

Divide both sides by x - 3

n = 3

Hence:

The box should be replaced with 3

MAVERICK [17]2 years ago
3 0

Answer:

-3

Step-by-step explanation:

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