Question

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? (1 point) a 2x + 2y = 2 b 2x + 2y = 4 c 2x + y = 2 d x + y = 4

Answer 1

The set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions, option (b) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

equation of the line:

x + y = 2

a) 2x + 2y = 2  ⇒ x + y = 1

b) 2x + 2y = 4 ⇒ x + y = 2

c) 2x + y = 2 ⇒ 2x + y = 2

d) x + y = 4 ⇒ x + y = 4

The given equation and equation (b) 2x + 2y = 4 ⇒ x + y = 2 has the same coefficient of x and y as well as same constant it means the set of the equations have infinitely many solutions

Thus, the set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions option (b) is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

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