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Consider the Equation 6x+3y=9 Which Equation, When Graphed with the Given Equation, Will Form a System Wit Nfinitely Many Solutions?

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

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Profesyonel · 6 yıl öğretmeni

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 .