Respuesta :

gagenickels

Answer:

Step-by-step explanation:

An equation with infinitely many solutions will be true for any value of x; so, it has equivalent expressions on both sides of the equal sign.

Therefore, to create an equation with infinitely many solutions, make the right side of the equation equal to the left side of the equation.

First, find the coefficient in front of the variable. Consider the terms containing an x-variable. On the left side of the equal sign, the expression has an x-term with a coefficient of 7. Therefore, the term in the expression on the right side of the equal sign should also have a coefficient of 7 when simplified. Since there is a 3x on the right side, the missing coefficient should be 4.

Then, find the value of the constant. On the left side of the equation, the constant is -8. So, the constant on the right side should simplify to -8. Since there is an 8 on the right side, the missing constant is -16.

Therefore, the equation with infinitely many solutions is below.

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MrRoyal

An equation can have zero solution, one solution or multiple solutions or infinite many solutions

The complete equation is [tex]7x - 8 = 8 + 4x - 16 + 3x[/tex]

The equation is given as:

7x - 8 = 8 +___* ___+3x

Represent the blank with y.

So, we have:

[tex]7x - 8 = 8 +y+3x[/tex]

Collect like terms

[tex]y = -3x + 7x - 8 - 8[/tex]

Evaluate the like terms

[tex]y = 4x - 16[/tex]

Substitute 4x - 16 for y in [tex]7x - 8 = 8 +y+3x[/tex]

[tex]7x - 8 = 8 + 4x - 16 + 3x[/tex]

Hence, [tex]7x - 8 = 8 + 4x - 16 + 3x[/tex] has infinite many solutions.

Read more about equation solutions at:

https://brainly.com/question/11966980

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