Question

* WILL GIVE BRIANLIEST*(8.01 LC)

Line A is represented by the equation given below:

x + y = 2

What is most likely the equation for line B, so that the set of equations has infinitely many solutions?
2x + 2y = 2
2x + 2y = 4
2x + y = 2
x + y = 4

Answer 1

The equation 2x+2y=4 would allow the set of equations to have infinitely many solutions because it's a multiple of the original equation
2(x+y=2)=(2x+2y=4)

Answer 2

The equation with infinitely many solutions will be 2x + 2y = 4 so option (B) will be correct.

What is the equation?

A linear equation could contain more than one variable. If a variable's maximum power constantly equals one, an equation is considered to be linear.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraint.

If we solve two equations then basically we got intersection points.

But if two equations are the same then we can say that it has an infinite number of intersections so there will be an infinite number of solutions.

Given,

x + y = 2

Now equation

2x + 2y = 4 = 2(x+y) = 2(2)

x + y = 2 so it is the same equation hence the equation 2x + 2y = 4 will have infinitely many solution.

For more about the equation

brainly.com/question/10413253

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