Final answer:
To solve a system by addition, manipulate equations by multiplying them so that one variable cancels out when added together, and apply operations uniformly across all terms.
Step-by-step explanation:
To solve the system of equations by addition, you should aim to eliminate one variable when adding the two equations together. This often involves manipulating one or both equations by multiplying them by a suitable number so that when combined, one of the variables cancels out. For example, if one equation contains the term 2x and the other contains -2x, adding the equations would eliminate the x variable. This principle applies to any variable within the system of equations.
In practice, you can multiply each term in the equation by the chosen number, ensuring that the operation is applied uniformly across the entire equation. MTo solve a system by addition, manipulate equations by multiplying them so that one variable cancels out when added together, and apply operations uniformly across all terms.
Step-by-step explanation:
To solve the system of equations by addition, you should aim to eliminate one variable when adding the two equations together. This often involves manipulating one or both equations by multiplying them by a suitable number so that when combined, one of the variables cancels out. For example, if one equation contains the term 2x and the other contains -2x, adding the equations would eliminate the x variable. This principle applies to any variable within the system of equations.
In practice, you can multiply each term in the equation by the chosen number, ensuring that the operation is applied uniformly across the entire equation. Multiplying or division does not change the equality, as long as it is done on both sides. It is critical that you enclose each side with more than one term in brackets before doing the multiplication or division so that each term is affected equally.
Once the proper coefficients are established in front of the variables, you can add the equations and solve for the remaining variable. Frequent steps to follow include: identifying knowns and unknowns, choosing appropriate equations, simplifying equations, and then using algebraic operations to find the value of unknowns.e equality, as long as it is done on both sides. It is critical that you enclose each side with more than one term in brackets before doing the multiplication or division so that each term is affected equally.
Once the proper coefficients are established in front of the variables, you can add the equations and solve for the remaining variable. Frequent steps to follow include: identifying knowns and unknowns, choosing appropriate equations, simplifying equations, and then using algebraic operations to find the value of unknowns.