7. What are the coefficients in th equation-pick all possible answe \[ 3 y+x=9 \]
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In the equation \(3y + x = 9\), the coefficients are the numbers that multiply the variables. Here, the coefficient of \(y\) is \(3\), while the coefficient of \(x\) is \(1\) (even though it's not explicitly written, \(1x\) means \(x\) has a coefficient of 1). The constant term on the right side is \(9\), but it’s not a coefficient of a variable. Understanding coefficients is crucial because they determine the influence each variable has on the equation. So, remember, when you see a variable (like \(x\) or \(y\)), check if there's a number in front of it—if not, it's \(1\) by default! If you want to explore more equations and play with coefficients, you can check out some fun math games or online tools like Desmos. Manipulating different equations or even creating your own graph can help you visualize how changing coefficients affects the shape of the graph. Plus, it’s a great way to reinforce your understanding while having a little fun!