Question

solve using elimination. -4x - 8y = 8 -6x - 6y = -12 (□, □) submit

Explanation:

Eliminate x
Subtract simplified second equation from first:
$(x + 2y) - (x + y) = -2 - 2$
$y = -4$? Correction: Wait, second equation after dividing by -6: $-6x/-6 -6y/-6 = -12/-6 → x + y = 2$. Correct subtraction: $(x+2y)-(x+y)= -2 -2 → y=-4$? Wait no, wait original first equation: -4x-8y=8 → divide by -4: x + 2y = -2. Original second equation: -6x-6y=-12 → divide by -6: x + y = 2. Now subtract second from first: (x+2y)-(x+y) = -2 -2 → y = -4? Then plug y=-4 into x + y=2: x -4=2 →x=6? Wait wait no, wait let's check again: Wait original second equation: -6x -6y = -12 → if x=6, y=-4: -66 -6(-4)= -36 +24=-12, correct. Original first equation: -46 -8(-4)= -24 +32=8, correct. Oh I made a typo earlier, y=-4, x=6? Wait wait no: Wait x + 2y = -2, if y=-4: x +2*(-4)=x-8=-2 →x=6. Yes, that's right. So answer is (6,-4). Oh my mistake earlier in step2 explanation. Let's redo correctly:

Step1: Simplify both equations

First equation ÷(-4): $x + 2y = -2$
Second equation ÷(-6): $x + y = 2$

Step2: Subtract to eliminate x

Subtract second from first:
$(x + 2y) - (x + y) = -2 - 2$
$y = -4$

Step3: Find x using y=-4

Substitute $y=-4$ into $x + y = 2$:
$x - 4 = 2$ → $x = 6$

Yes, so the solution is (6, -4). I had a typo in the middle but corrected it. So final answer is (6,-4).

Wait wait let's confirm again:
-4x -8y =8: -46 -8(-4)= -24 +32=8 ✔️
-6x -6y =-12: -66 -6(-4)= -36 +24=-12 ✔️

Correct. So the answer is (6, -4).

Step1: Simplify equations

First eq ÷(-4): $x + 2y = -2$
Second eq ÷(-6): $x + y = 2$

Step2: Eliminate x by subtraction

$(x+2y)-(x+y) = -2-2$ → $y=-4$

Step3: Solve for x

Substitute $y=-4$ into $x+y=2$: $x=6$

Answer:

(6, -4)