Question

Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box. Box (x minus 3) + 2 x = negative (x minus 5) + 4 Which number should she place in the box? –3 –1 1 3

Answer 1

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

Answer 2

Answer:

-3

Step-by-step explanation: