If I have Y=-3X+21 do i simplify or keep it just the same???
y = 3x + 21 is in the slope-intercept equation form (y = mx + b).
This equation cannot be simplified. It's as good as it gets.
couldnt you simplify it to...
y = x + 7 ?
you have three x and 21 so to get one x divide both by 3. not sure if that's right but maybe!
It depends on what the problem asks for.
If the equation was,
3x + 21 = 0
3(x + 7) = 0
x + 7 = 0
But, the equation is y = 3x + 21.
If, the problem said to factor, this could be written as
y = 3(x + 7)
But, I don't know what her problem is looking for.
To determine whether to simplify the equation Y = -3X + 21 or keep it the same, it depends on the specific context or purpose for which you are using the equation.
If your goal is to understand the general form of the equation, the current format Y = -3X + 21 is already simplified. It is in slope-intercept form, which is commonly used to represent linear equations. In this form, the coefficient of X (-3 in this case) represents the slope of the line, and the constant term (21) represents the y-intercept, or the value of Y when X is zero.
However, if you need to perform further calculations or transformations with the equation, it may be helpful to simplify it. For example, if you want to find the X-intercept (the value of X when Y is zero) or the Y-intercept (the value of Y when X is zero), simplifying the equation can make these calculations easier.
To simplify the equation Y = -3X + 21, you could rearrange it to the standard form Ax + By = C by adding 3X to both sides:
3X + Y = 21
Now, the equation is in a different format but still represents the same relationship between X and Y. The choice to simplify or keep the equation as it is ultimately depends on your specific needs or the requirements of the problem you are solving.