Respuesta :
The systems of linear equations has an infinite number of solutions are 3x + 6y = 22 & 6x +12y = 44.
What is a linear equation?
A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form
y = mx + c
Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
When both the lines(represented by both the equations) are coincident(lying over each other), then there will have an infinite solution since in that case, they will have infinite points in common.
In the given equation
3x + 6y = 22 & 6x +12y = 44.
we can see that the cofficient are proportional to each other
[tex]\dfrac{a_1}{a_2} = \dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}\\\\= \dfrac{1}{2}[/tex]
Thus, the equation must be 3x + 6y = 22 & 6x +12y = 44.
Learn more about linear equations here:
https://brainly.com/question/27465710
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