Soru
Consider the equation 6x+3y=9 Which equation, when graphed with the given equation, will form a system wit nfinitely many solutions? y+2x=3 y+2x=9 y=2x+3 y=-2x+9
Çözüm
3.9
(251 Oylar)
Kerem
Profesyonel · 6 yıl öğretmeni
Uzman doğrulaması
Cevap
To determine which equation, when graphed with the given equation
, will form a system with infinitely many solutions, we need to find an equation that is equivalent to the given equation.Let's analyze each option:1.
: This equation is not equivalent to the given equation
. Therefore, it will not form a system with infinitely many solutions.2.
: This equation is also not equivalent to the given equation
. Therefore, it will not form a system with infinitely many solutions.3.
: This equation is equivalent to the given equation
. To verify, we can rearrange the given equation to solve for
:
Therefore, the given equation
is equivalent to
. When graphed together, they will form a system with infinitely many solutions.4.
: This equation is not equivalent to the given equation
. Therefore, it will not form a system with infinitely many solutions.Based on the analysis, the equation that, when graphed with the given equation
, will form a system with infinitely many solutions is
.