What are the steps used to solve a system by elimination?

What are the steps used to solve a system by elimination?

To Solve a System of Equations by Elimination

• Write both equations in standard form.
• Make the coefficients of one variable opposites.
• Add the equations resulting from Step 2 to eliminate one variable.
• Solve for the remaining variable.
• Substitute the solution from Step 4 into one of the original equations.

How do you use the elimination method example?

Both the variables get eliminated. For example, let us solve two equations 2x-y=4 __ (1) and 4x-2y=7 __ (2) by the elimination method. In order to make the x coefficients equal in both the equations, we multiply equation (1) by 2 and equation (2) by 1. By doing so we get, 4x-2y=8 __ (3) and 4x-2y=7 __ (4).

How do you solve a system with X and Y?

Take the value for y and substitute it back into either one of the original equations. The solution is (x, y) = (1, -2). Example 3: Solve the system using elimination method. Solution: In this example, we will multiply the first row by -3 and the second row by 2; then we will add down as before.

How do you use the equation elimination calculator?

Elimination Calculator 1 Example (Click to try). 2 Try it now. Enter your equations separated by a comma in the box, and press Calculate! Or click the example. 3 About Elimination. Use elimination when you are solving a system of equations and you can quickly eliminate one variable… More

What is the value of 9 2 – 3×2?

Rewrite the equation as 9 2 − 3 x 2 = 0 9 2 – 3 x 2 = 0. Subtract 9 2 9 2 from both sides of the equation. Since the expression on each side of the equation has the same denominator, the numerators must be equal. Divide each term by − 3 – 3 and simplify.

How do you solve for Y in two equations?

In order to solve for y, take the value for x and substitute it back into either one of the original equations. The solution is . Look at the x – coefficients. Multiply the first equation by -4, to set up the x-coefficients to cancel. Take the value for y and substitute it back into either one of the original equations. The solution is .