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

-3

Explanation:

Answer 2

The box should be replaced with 3

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