Respuesta :

The missing number so that the equation has infinitely many solutions is 6

For the given equation to have an infinite number of questions, the value of x must be an infinite value.

Given the expression -3(x-2) + 5x + y = 2(x + 6)

Expand the equation

-3x + 6 + 5x + y = 2x + 12

2x + (6 + y) = 2x + 12

For the equation to have infinitely many solutions, 6+y must be equal to 12, that is 6+y = 12

y = 12 - 6

y = 6

Hence the missing number so that the equation has infinitely many solutions is 6

Learn more here; https://brainly.com/question/11966980

The missing number so that the equation has infinitely many solutions is 6.

An equality has infinitely many solutions if it is an identity, that is, both sides are equal.

In this problem, the equality is:

[tex]-3(x - 2) + 5x + v = 2(x + 6)[/tex]

[tex]-3x + 6 + 5x + v = 2x + 12[/tex]

[tex]2x + 6 + v = 2x + 12[/tex]

[tex]6 + v = 12[/tex]

[tex]v = 12 - 6[/tex]

[tex]v = 6[/tex]

The missing number is 6.

A similar problem is given at https://brainly.com/question/14535990

ACCESS MORE