Question

Eliminate the x in the following system of equations. What is the result when you add the two equations?Şx+y=2(3x – 4y = 270 -7y = 210 -7y = -257y = 25O 7y = -21

Answer 1

Given the system of equations:

x + y = 2

3x - 4y = 27

Let's eliminate x in the system and find the result when the two equations are added.

To eliminate the x variable, let's multiply each equation by the value that makes the coefficients of x opposite.

Let's multiply equation 1 by -3:

(-3x) + (-3y) = -3(2)

3x - 4y = 27

---------------------------------------

-3x - 3y = -6

3x - 4y = 27

Add both equations:

-3x - 3y = -6

+ 3x - 4y = 27

________________

- 7y = 21

Therefore, after eliminating the x variable, the result is:

-7