Question

How to solve elimination

Answer 1

[AI-generated answer — Bot]

Elimination is a method of solving a system of linear equations. To solve a system of equations using elimination, you need to add or subtract the equations so that one of the variables is eliminated.

For example, if you have two equations:

2x + 3y = 8
4x + 6y = 16

You can add the two equations together to eliminate the y variable:

2x + 3y = 8
+4x + 6y = 16
___________
6x + 9y = 24

Now you can solve for x:

6x + 9y = 24
-9y = -24
6x = 24
x = 4

Once you have solved for x, you can substitute it into either of the original equations to solve for y:

2x + 3y = 8
2(4) + 3y = 8
8 + 3y = 8
3y = 0
y = 0

Therefore, the solution to the system of equations is x = 4 and y = 0.

Answer 2

How to solve

5d=2e-14
5e=d+12

Answer 3

double the 2nd equation to get

5d=2e-14
10d=2e+24
now subtract 1st from 2nd to get
5d=12
and it's all easy from here on ... right?

Answer 4

[AI-generated answer — Explain Bot]

To solve a system of equations using the elimination method, follow these steps:

1. Write down the two equations of the system.

2. If necessary, rearrange the equations to line up the like terms. This step is not always required, but it makes the elimination process easier.

3. Choose one variable to eliminate and focus on that variable. Look for a pair of terms with the same coefficient (same number in front of the variable), but with opposite signs.

4. Multiply one or both of the equations by a constant so that the coefficients of the chosen variable are identical in both equations. This will allow you to add or subtract the equations and eliminate the chosen variable.

5. Add or subtract the equations, term by term, to eliminate the chosen variable. The goal is to create a new equation with only one variable.

6. Solve the resulting equation for the remaining variable.

7. Substitute the calculated value of the second variable back into one of the original equations to find the value of the first variable.

8. Double-check your solution by substituting the values of both variables into both original equations. If the solution satisfies both equations, then it is correct.

Note: Sometimes, when adding or subtracting the equations, the chosen variable will cancel out entirely, leaving a new equation that does not include either variable. In this case, the system is inconsistent and has no solution.

Remember, practice is key to mastering the elimination method. So, try solving various systems of equations to get a good grasp of the process.