Question

need help

Choose the equivalent system of linear equations that will produce the same solution as the one given below.

4x - y = -11
2x + 3y = 5

-4x - 9y = -19
-10y = -30

4x + 3y = 5
2y = -6

7x - 3y = -11
9x = -6

12x - 3y = -33
14x = -28

Answer 1

nvm i figured it out

Answer 2

4x - y = -11
2x + 3y = 5 --->(-2)
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4x - y = -11
-4x - 6y = -10 (result of multiplying by -2)
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-7y = -21
y = 3
now sub 3 in for y in either equation to find x
2x + 3y = 5
2x + 3(3) = 5
2x + 9 = 5
2x = - 4
x = -2
so your solution is : x = -2 and y = 3

now lets find the one with the same answer..
-10y = -30
y = 3
now sub 3 in for y in the other equation
4x - 9y = -19
4x - 9(3) = -19
4x - 27 = -19
4x = -19 + 27
4x = 8
x = 2
not the first answer choice because the 2 is positive and it is supposed to be negative

next one..
2y = -6
y = -3
not the second answer choice because we got a -3 and its supposed to be positive

next one..
9x = -6
x = - 2/3
not the third answer choice

next one..
14x = -28
x = -2
now sub -2 in for x in the other equation
12x - 3y = -33
12(-2) - 3y = -33
-24 - 3y = -33
-3y = -33 + 24
-3y = - 9
y = 3
It would have to be the last one I tried...lol

answer is : the 4th answer choice