Question

Consider the following system of equations. x + y = 11 2x - 3y = -3 Which equation can be added to the system so the solution does not change А x-y=2 W B. -2x + 2y = -2 C 3x + y = 20 D x + 2y = 18 . helppp its due right now​

Answer 1

Explanation:

We have to find the system in which we can use the x and y from the given system of equations and make it hold true

From the given equations:

`x+y = 11\\2x - 3y = -3`

multiply top equation by -2 and add them

`-2x - 2y = -22\\2x - 3y = -3\\-5y = -25\\y = 5\\x + 5 = 11\\x = 6`

so, x = 6, y = 5

A: x-y = 2

6 - 5 = 1, so its not a

B: -2x + 2y = -2

-2(6) + 2(5) = -12 + 10 = -2

B works

just looking at C and D I can tell it doesnt work

So the answer is B