Multiply every term in the equation by a common denominator of all the fractions. The least common denominator (if different) will result in smaller numbers that you then have to work with but it is not essential that you use it.
because you just do!
I am not entirely sure what you mean with "clear". But if you want to get rid of fractions in an equation, you can multiply both sides of the equation by the least common multiple of the fractions. For example, take the equation: (1/2)x + 3 = (1/5)x If you multiply both sides by 10, you get: 5x + 30 = 2x
Multiply the whole equation by the lowest common denominator. ie. multiply each number by the lowest factor that goes into all of the denominators. Example: if you have y/2 = 3x/4 + 16/6 -> the lowest common denominator is 12, because 12 is the lowest number that will clear all the fractions, so: 12 (y/2 = 3x/4 + 16/6) 6y = 9x + 32 -> of course, if you want to graph this linear equation, you need to solve for y, so you would have to divide the whole equation by 6. (6y = 9x + 32)/6 y = 9x/6 + 32/6 -> simplify the fractions y = 3x/2 + 16/3 -> this is your equation for y.
You don't have to. Some people find that it makes subsequent calculations easier - but not all do.
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
A linear equation can be recognized by its standard form, which is typically written as ( ax + by = c ), where ( a ), ( b ), and ( c ) are constants, and ( x ) and ( y ) are variables. The highest power of the variables in a linear equation is one, meaning there are no squared or higher-degree terms. Additionally, when graphed, a linear equation produces a straight line. If the equation can be rearranged into the form ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept, it is also a clear indicator of linearity.
It appears to be a linear equation in the variable, g.It appears to be a linear equation in the variable, g.It appears to be a linear equation in the variable, g.It appears to be a linear equation in the variable, g.
An equation is linear if the highest power of the unknown in the equation is 1for example an equation with just a variable to the power one such as x, y and so on is linear but one with x2, y2 and above is not linear
Y = 5X - 3It form a linear function; a line.
The expression (3g(x) = x) can be considered a linear equation if (g(x)) is a linear function. A linear equation has the form (y = mx + b), where (m) and (b) are constants. If (g(x)) is indeed linear, then (3g(x)) will also be linear, making the equation (3g(x) = x) a valid linear equation. However, if (g(x)) is nonlinear, then the equation would not be linear.
A linear equation can have only one zero and that is the value of the variable for which the equation is true.
There is absolutely no REQUIREMENT to do so. It is simply that many people prefer to work with whole numbers.