Question
Which of these grass shows that the linear system y equals negative x + 6 and 3x + 3y = 18 has an infinite number of solutions
Answers
GPT 3.5
Both linear systems have infinite solutions when they represent the same line. To determine if that's the case, we need to see if one equation is a multiple of the other.
First, we can rewrite the second equation as:
3x + 3y = 18
3(x + y) = 18
x + y = 6
Since this equation is the same as y = -x + 6, the two linear systems represent the same line y = -x + 6, and therefore have an infinite number of solutions.
First, we can rewrite the second equation as:
3x + 3y = 18
3(x + y) = 18
x + y = 6
Since this equation is the same as y = -x + 6, the two linear systems represent the same line y = -x + 6, and therefore have an infinite number of solutions.