<p>Hi all.</p>
<p>I am trying to figure out this math problem but something just doesn't seem right. I searched for solutions; I found some, but I just didn't understand to process.</p>
<p>View</a> image: 20121021 212940 copy</p>
<p>Please guide me. I know that every question must have some kind of trick. </p>
<p>Thank you so much for your help.
You really helped me a lot so far.</p>
<p>The answer is (E) 14
(equation 1) 3x + 7y = 12
(equation 2) 6x - ky = 6</p>
<p>First, we solve for x in equation 1 so we can plug it into equation 2.
3x + 7y = 12</p>
<h2> -7y</h2>
<p>3x = -7y + 12</p>
<h2>(divide by 3 on both sides)</h2>
<p>x= 7/3y + 4</p>
<p>Then, we plug that in for x in equation 2.</p>
<p>6(7/3y + 4) -ky = 6</p>
<p>which is distributed to…</p>
<p>14y + 24 - ky = 6</p>
<p>simplified to…</p>
<p>14y - ky = -18</p>
<p>To make this system have no solution, we need to substitute k for a value that will make the left side of the equation equal 0. So we use 14 --</p>
<p>14y - 14y = -18
0 ≠ 18</p>
<p>Therefore, no solution.
Hopefully this helped you, let me know if I made any mistake or if you need any clarification :)</p>
<p>Thank you.</p>
<p>Amazing. I got it! </p>
<p>This forum is amazing!!!</p>
<p>No, noocie, you have a sign error. Leaving it to OP to find it…</p>
<p>Ahh whoops :'D
Since OP got it,
x should be -7/3 + 4
so k = -14
hehe my bad :D</p>