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Which value, when placed in the box, would result in a system of equations with infinitely many solutions?

y = 2x – 5

2y – 4x =

–10
–5
5
10

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topoisomerase
-10. One type of system of equations that results in infinite solutions is one where both sides of the equation are exactly equal. Here, setting the second equation equal to -10 becomes 2y - 4x = -10. This can be rearranged into 2y = 4x - 10. Dividing everything by 2 results in y = 2x - 5, which is exactly what the first equation is. Substituting one equation into another, we get 2x - 5 = 2x - 5, which is a true statement for all values of x.

When -10 is placed in the box that would result in a system of equations with infinitely many solutions.

What is system of equation?

"It is a finite system of equations for which we find the common solution."

What is y-intercept?

"It is the point at which the graph of the intersects the Y-axis."

For given equation,

Let 'm' be the solution of 2y - 4x

⇒ 2y - 4x = b

We write above equation in slope-intercept form.

⇒ 2y - 4x = b

⇒ 2y = b + 4x

⇒ 2y = 4x + b

[tex]\Rightarrow y=2x+\frac{b}{2}[/tex]

The y-intercept of above equation is  [tex]\frac{b}{2}[/tex].

Also for equation y = 2x – 5 from given system of equations has               y-intercept is -5.

We know, the system of an equation has infinitely many solutions when they have the same y-intercept.

[tex]\Rightarrow -5=\frac{b}{2}\\\\\Rightarrow \bold{b=-10}[/tex]

Therefore, when -10 is placed in the box that would result in a system of equations with infinitely many solutions.

Learn more about system of equation here:

https://brainly.com/question/12895249

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