Yes.
Simultaneous equations can also be solved by substitution or graphically
would you add any steps to make it easier or to make it easier to understand
True
Yes, some steps in solving rational equations can be simplified or eliminated depending on the specific equation. For instance, if the denominators are the same, you can directly equate the numerators without needing to cross-multiply. However, it's essential to ensure that you still account for any restrictions that the denominators may impose, as this can affect the validity of the solution. Always verify your final solutions by substituting them back into the original equation.
yes and no, if you have an algebraic equaiton the parenthesis supersede the rest of the rules. so if you were to do "8X3(5X3)" even though the 8X3 if farther left, it would go after the parenthesis. it is a difficut question, they could also be eliminated if there wasnt that step in the equation.
Multiply the top equation by -3 and the bottom equation by 2.
In solving rational equations, certain steps can sometimes be eliminated if the equation is straightforward enough, such as when one can directly find a common denominator. However, the order of steps is generally important for maintaining clarity and accuracy, particularly when it comes to isolating variables or simplifying expressions. Skipping steps or changing their order could lead to mistakes or misinterpretations of the solution. Thus, while some simplifications are possible, a careful approach is advised.
any differential equation would be considered a calculus equations.
Yes, you can manipulate the equations before adding them to eliminate one variable. This can be done by multiplying one or both equations by a suitable coefficient so that the coefficients of one variable become opposites. Once the coefficients are aligned, you can add the equations together, resulting in the elimination of that variable, making it easier to solve for the remaining variable.
To solve problems using elimination, start by rewriting the equations in standard form if they aren’t already. Next, manipulate the equations to make the coefficients of one variable opposites, allowing you to add or subtract the equations to eliminate that variable. Once one variable is eliminated, solve for the remaining variable and then substitute back to find the other. This method is particularly effective for systems of linear equations.
Yes.
A system of equations can have any number of inequalities.