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ランク	トピック	問題	フォーマット化された問題
5501	Solve Using a Matrix by Row Operations	x1+x2+x3+s1=38 , -x1+x2-x3+s2=0 , x3+s3=2 , -200x1-644x2-266x*3+z=0	$x \cdot 1 + x \cdot 2 + x \cdot 3 + s \cdot 1 = 38$ , $- x \cdot 1 + x \cdot 2 - x \cdot 3 + s \cdot 2 = 0$ , $x \cdot 3 + s \cdot 3 = 2$ , $- 200 x \cdot 1 - 644 x \cdot 2 - 266 x \cdot 3 + z = 0$
5502	Solve Using a Matrix by Row Operations	x3+x6=24 , x2+x3=11	$x \cdot 3 + x \cdot 6 = 24$ , $x \cdot 2 + x \cdot 3 = 11$
5503	Solve Using a Matrix by Row Operations	x+2y+3z=14 , 4y+6z=26 , 2x+y+z=7	$x + 2 y + 3 z = 14$ , $4 y + 6 z = 26$ , $2 x + y + z = 7$
5504	Solve Using a Matrix by Row Operations	x+2y+5z=15 , 2x-3y+3z=2	$x + 2 y + 5 z = 15$ , $2 x - 3 y + 3 z = 2$
5505	Solve Using a Matrix by Row Operations	x+2y+6z=409 , 3x+6y+3z=465	$x + 2 y + 6 z = 409$ , $3 x + 6 y + 3 z = 465$
5506	Solve Using a Matrix by Row Operations	x+2y+z=72 , 2x+y+z=66 , 3x+y+2z=102 , p-60x-48y-42z=0	$x + 2 y + z = 72$ , $2 x + y + z = 66$ , $3 x + y + 2 z = 102$ , $p - 60 x - 48 y - 42 z = 0$
5507	Solve Using a Matrix by Row Operations	x+2y+z=82 , 7y+3z=63	$x + 2 y + z = 82$ , $7 y + 3 z = 63$
5508	Solve Using a Matrix by Row Operations	x+2y=4 , 2x-3y=1	$x + 2 y = 4$ , $2 x - 3 y = 1$
5509	Solve Using a Matrix by Row Operations	x+2y=6 , 5x+10y=30	$x + 2 y = 6$ , $5 x + 10 y = 30$
5510	Solve Using a Matrix by Row Operations	x+2y=9 , -x+2y=1	$x + 2 y = 9$ , $- x + 2 y = 1$
5511	Solve Using a Matrix by Row Operations	x+2y-3z=4 , 2x+5y+2z=18 , 7x+16y-5z=48	$x + 2 y - 3 z = 4$ , $2 x + 5 y + 2 z = 18$ , $7 x + 16 y - 5 z = 48$
5512	Solve Using a Matrix by Row Operations	x+2y-z=3 , -w+x+3y-2z=2 , 0=0 , -w+2x+5y-3z=5	$x + 2 y - z = 3$ , $- w + x + 3 y - 2 z = 2$ , $0 = 0$ , $- w + 2 x + 5 y - 3 z = 5$
5513	Solve Using a Matrix by Row Operations	x+3y+6z=19 , 2x-3y+z=2	$x + 3 y + 6 z = 19$ , $2 x - 3 y + z = 2$
5514	Solve Using a Matrix by Row Operations	x+3y+z=1 , x-z=0 , -2x+3y+4z=1	$x + 3 y + z = 1$ , $x - z = 0$ , $- 2 x + 3 y + 4 z = 1$
5515	Solve Using a Matrix by Row Operations	x+3y+z=82 , 7y+2z=42	$x + 3 y + z = 82$ , $7 y + 2 z = 42$
5516	Solve Using a Matrix by Row Operations	x+3y+z=84 , 7y+2z=42	$x + 3 y + z = 84$ , $7 y + 2 z = 42$
5517	Solve Using a Matrix by Row Operations	x+3y=-12 , -x+7y=-412	$x + 3 y = - 12$ , $- x + 7 y = - 412$
5518	Solve Using a Matrix by Row Operations	x+4y=0 , x+5y+z=1 , -4x-y-z=-17	$x + 4 y = 0$ , $x + 5 y + z = 1$ , $- 4 x - y - z = - 17$
5519	Solve Using a Matrix by Row Operations	x+4y=5 , x+5y=9	$x + 4 y = 5$ , $x + 5 y = 9$
5520	Solve Using a Matrix by Row Operations	x+4y-2z=12 , x+5y+2z=1 , x+4y-28z=25	$x + 4 y - 2 z = 12$ , $x + 5 y + 2 z = 1$ , $x + 4 y - 28 z = 25$
5521	Solve Using a Matrix by Row Operations	x+5y=3 , -3x+4y=3	$x + 5 y = 3$ , $- 3 x + 4 y = 3$
5522	Solve Using a Matrix by Row Operations	x+5y=31 , -2x+2y=-2	$x + 5 y = 31$ , $- 2 x + 2 y = - 2$
5523	Solve Using a Matrix by Row Operations	x+6y=6 , 7x-5y=-5	$x + 6 y = 6$ , $7 x - 5 y = - 5$
5524	Solve Using a Matrix by Row Operations	x+6y-3z=-5 , z=8	$x + 6 y - 3 z = - 5$ , $z = 8$
5525	Solve Using a Matrix by Row Operations	x+9y+2z=-5 , 4y-8z=1 , -1y+2z=-1/4	$x + 9 y + 2 z = - 5$ , $4 y - 8 z = 1$ , $- 1 y + 2 z = - \frac{1}{4}$
5526	Solve Using a Matrix by Row Operations	x+y+5z=2 , 5x+5y+25z=10 , 8x+8y+40z=16	$x + y + 5 z = 2$ , $5 x + 5 y + 25 z = 10$ , $8 x + 8 y + 40 z = 16$
5527	Solve Using a Matrix by Row Operations	x+y+z+w=250000 , 0.025x+0.035y+0.04z+0.06w=10000 , z-0.50w=0 , x+y=150000	$x + y + z + w = 250000$ , $0.025 x + 0.035 y + 0.04 z + 0.06 w = 10000$ , $z - 0.5 w = 0$ , $x + y = 150000$
5528	Solve Using a Matrix by Row Operations	x+y+z=102 , 2x+3y+4z=303 , 11x+17y+23z=1716	$x + y + z = 102$ , $2 x + 3 y + 4 z = 303$ , $11 x + 17 y + 23 z = 1716$
5529	Solve Using a Matrix by Row Operations	x+y+z=-2 , x-y+2z=4 , 2x+y+z=-7	$x + y + z = - 2$ , $x - y + 2 z = 4$ , $2 x + y + z = - 7$
5530	Solve Using a Matrix by Row Operations	x+y+z=3 , 2x+z=0 , 3x-y-z=1	$x + y + z = 3$ , $2 x + z = 0$ , $3 x - y - z = 1$
5531	Solve Using a Matrix by Row Operations	x+y+z=32 , x+1/10y+1/6z=17/3 , 1/2x+1/15y+1/8z=43/12	$x + y + z = 32$ , $x + \frac{1}{10} y + \frac{1}{6} z = \frac{17}{3}$ , $\frac{1}{2} x + \frac{1}{15} y + \frac{1}{8} z = \frac{43}{12}$
5532	Solve Using a Matrix by Row Operations	x+y+z=5 , 2x+4y+2z=8 , -x+7y-3z=-5	$x + y + z = 5$ , $2 x + 4 y + 2 z = 8$ , $- x + 7 y - 3 z = - 5$
5533	Solve Using a Matrix by Row Operations	-x+y+z=-5 , -x+5y-23z=-33 , 7x-2y-37z=0	$- x + y + z = - 5$ , $- x + 5 y - 23 z = - 33$ , $7 x - 2 y - 37 z = 0$
5534	Solve Using a Matrix by Row Operations	2x+6x+15x=-12 , 4x+7x+13x=-10 , 3x+6x+12x=-9	$2 x + 6 x + 15 x = - 12$ , $4 x + 7 x + 13 x = - 10$ , $3 x + 6 x + 12 x = - 9$
5535	Solve Using a Matrix by Row Operations	2x+7y-5z=0 , 3x-4y+6z=1 , 5x+3y+z=1	$2 x + 7 y - 5 z = 0$ , $3 x - 4 y + 6 z = 1$ , $5 x + 3 y + z = 1$
5536	Solve Using a Matrix by Row Operations	2x+9-z=0 , 3x-y+2z=1 , 5x+8y+z=1	$2 x + 9 - z = 0$ , $3 x - y + 2 z = 1$ , $5 x + 8 y + z = 1$
5537	Solve Using a Matrix by Row Operations	2x+y=10 , x+2y=0	$2 x + y = 10$ , $x + 2 y = 0$
5538	Solve Using a Matrix by Row Operations	2x+y=510 , 2x+y=810	$2 x + y = 510$ , $2 x + y = 810$
5539	Solve Using a Matrix by Row Operations	2x-3y+4z=27 , x+2y-4z=-8 , 3x-y+2z=25	$2 x - 3 y + 4 z = 27$ , $x + 2 y - 4 z = - 8$ , $3 x - y + 2 z = 25$
5540	Solve Using a Matrix by Row Operations	2x-3y-4z=3 , -4x+2y-3z=-13 , -3x-4y+2z=0	$2 x - 3 y - 4 z = 3$ , $- 4 x + 2 y - 3 z = - 13$ , $- 3 x - 4 y + 2 z = 0$
5541	Solve Using a Matrix by Row Operations	2x-4y+5z=1 , x-3z=2 , 5x-8y+7z=6 , 3x-4y+2z=3	$2 x - 4 y + 5 z = 1$ , $x - 3 z = 2$ , $5 x - 8 y + 7 z = 6$ , $3 x - 4 y + 2 z = 3$
5542	Solve Using a Matrix by Row Operations	2x-5y=10 , 4x-10y=20	$2 x - 5 y = 10$ , $4 x - 10 y = 20$
5543	Solve Using a Matrix by Row Operations	-2x-6y=8 , 6y=-2x-8	$- 2 x - 6 y = 8$ , $6 y = - 2 x - 8$
5544	Solve Using a Matrix by Row Operations	2x-6y-12z=0 , 3x-10y-20z=-6 , 2x-17z=-15	$2 x - 6 y - 12 z = 0$ , $3 x - 10 y - 20 z = - 6$ , $2 x - 17 z = - 15$
5545	Solve Using a Matrix by Row Operations	2x-y+z=4 , 3x-y+z=5	$2 x - y + z = 4$ , $3 x - y + z = 5$
5546	Solve Using a Matrix by Row Operations	2x-y=5 , 3x+5y=27	$2 x - y = 5$ , $3 x + 5 y = 27$
5547	Solve Using a Matrix by Row Operations	-2x-y-9z=-77 , -7x+4y+7z=30 , -3x-9y+z=-44	$- 2 x - y - 9 z = - 77$ , $- 7 x + 4 y + 7 z = 30$ , $- 3 x - 9 y + z = - 44$
5548	Solve Using a Matrix by Row Operations	3x1-5x2=-2 , -6x1+10x2=4	$3 x \cdot 1 - 5 x \cdot 2 = - 2$ , $- 6 x \cdot 1 + 10 x \cdot 2 = 4$
5549	Solve Using a Matrix by Row Operations	3x+2y+z=3 , x-y-z=2	$3 x + 2 y + z = 3$ , $x - y - z = 2$
5550	Solve Using a Matrix by Row Operations	3x+2y=-1 , 9x+4y=-2	$3 x + 2 y = - 1$ , $9 x + 4 y = - 2$
5551	Solve Using a Matrix by Row Operations	3x+2y-z=-16 , 6x-4y+3z=12 , 5x-2y+2z=4	$3 x + 2 y - z = - 16$ , $6 x - 4 y + 3 z = 12$ , $5 x - 2 y + 2 z = 4$
5552	Solve Using a Matrix by Row Operations	3x+2y-z=2 , 4x+3+z=5	$3 x + 2 y - z = 2$ , $4 x + 3 + z = 5$
5553	Solve Using a Matrix by Row Operations	3x+4y-2z=0 , 7x-y+5z=1 , 10x+3y+3z=1	$3 x + 4 y - 2 z = 0$ , $7 x - y + 5 z = 1$ , $10 x + 3 y + 3 z = 1$
5554	Solve Using a Matrix by Row Operations	3x+5y-z=1 , 4x+7y+z=2	$3 x + 5 y - z = 1$ , $4 x + 7 y + z = 2$
5555	Solve Using a Matrix by Row Operations	3x+5y-z=2 , 4x+7y+z=4	$3 x + 5 y - z = 2$ , $4 x + 7 y + z = 4$
5556	Solve Using a Matrix by Row Operations	3x+7y+9z=0 , x+3y+3z=2 , x+4y+z=2	$3 x + 7 y + 9 z = 0$ , $x + 3 y + 3 z = 2$ , $x + 4 y + z = 2$
5557	Solve Using a Matrix by Row Operations	3x-2y+z=0 , x+3y-4z=8 , 2x-3y+5z=-6 , x-8y+9z=-16	$3 x - 2 y + z = 0$ , $x + 3 y - 4 z = 8$ , $2 x - 3 y + 5 z = - 6$ , $x - 8 y + 9 z = - 16$
5558	Solve Using a Matrix by Row Operations	3x-2y+z=16 , x+y=7	$3 x - 2 y + z = 16$ , $x + y = 7$
5559	Solve Using a Matrix by Row Operations	3x-2y+z=6 , 3x+y-z=-4 , -x+2y-2z=-8	$3 x - 2 y + z = 6$ , $3 x + y - z = - 4$ , $- x + 2 y - 2 z = - 8$
5560	Solve Using a Matrix by Elimination	y=-6x+10 , y=-6x+3	$y = - 6 x + 10$ , $y = - 6 x + 3$
5561	Solve Using a Matrix by Elimination	z=3 , y-6x=8 , x=3y-5z	$z = 3$ , $y - 6 x = 8$ , $x = 3 y - 5 z$
5562	Solve Using a Matrix by Row Operations	(x)=42x , x=600+40x	$(x) = 42 x$ , $x = 600 + 40 x$
5563	Solve Using a Matrix by Row Operations	-0.04x+0.6y=-1.138 , 0.03x-0.3y+0.24z=0.246 , 55x+8y-47z=-41.350	$- 0.04 x + 0.6 y = - 1.138$ , $0.03 x - 0.3 y + 0.24 z = 0.246$ , $55 x + 8 y - 47 z = - 41.35$
5564	Solve Using a Matrix by Row Operations	-0.72+0.81=0 , 0.72-0.81=0	$- 0.72 + 0.81 = 0$ , $0.72 - 0.81 = 0$
5565	Solve Using a Matrix by Row Operations	(2x+x)/2=3y+2x+1 , (2x-y)/3-1/4=1/3*((x-y)/2)	$\frac{2 x + x}{2} = 3 y + 2 x + 1$ , $\frac{2 x - y}{3} - \frac{1}{4} = \frac{1}{3} \cdot (\frac{x - y}{2})$
5566	Solve Using a Matrix by Row Operations	0.2x+0.1y=0.7 , 0.2x-0.2y=0.6	$0.2 x + 0.1 y = 0.7$ , $0.2 x - 0.2 y = 0.6$
5567	Solve Using a Matrix by Row Operations	0.3x+0.6y+0.5z=3510 , 0.6x+0.3y+0.4z=3100 , 0.5x+0.4y+0.2z=3060	$0.3 x + 0.6 y + 0.5 z = 3510$ , $0.6 x + 0.3 y + 0.4 z = 3100$ , $0.5 x + 0.4 y + 0.2 z = 3060$
5568	Solve Using a Matrix by Row Operations	0.3x-0.3y=0.3 , -0.02x+0.9y=0.5	$0.3 x - 0.3 y = 0.3$ , $- 0.02 x + 0.9 y = 0.5$
5569	Solve Using a Matrix by Row Operations	0=c , 24=16a-4b+c , 14=a+b+c	$0 = c$ , $24 = 16 a - 4 b + c$ , $14 = a + b + c$
5570	Solve Using a Matrix by Row Operations	-10a+5y=10 , 2a-y=0	$- 10 a + 5 y = 10$ , $2 a - y = 0$
5571	Solve Using a Matrix by Row Operations	-10x-15y-z=14 , -6x-25y-2z=55 , 8x+15y+z=-20	$- 10 x - 15 y - z = 14$ , $- 6 x - 25 y - 2 z = 55$ , $8 x + 15 y + z = - 20$
5572	Solve Using a Matrix by Row Operations	-10x-15y-z=21 , -6x-25y-2z=87 , 8x+15y+z=-31	$- 10 x - 15 y - z = 21$ , $- 6 x - 25 y - 2 z = 87$ , $8 x + 15 y + z = - 31$
5573	Solve Using a Matrix by Row Operations	12x1+3x2=3 , -16x1-4x2=-4	$12 x \cdot 1 + 3 x \cdot 2 = 3$ , $- 16 x \cdot 1 - 4 x \cdot 2 = - 4$
5574	Solve Using a Matrix by Row Operations	12x+3y=12 , -8x+4y=-8	$12 x + 3 y = 12$ , $- 8 x + 4 y = - 8$
5575	Solve Using a Matrix by Row Operations	12x-5y=9 , 3x-8y=-18	$12 x - 5 y = 9$ , $3 x - 8 y = - 18$
5576	Solve Using a Matrix by Row Operations	12x-6y=-15 , -12x+6y=15	$12 x - 6 y = - 15$ , $- 12 x + 6 y = 15$
5577	Solve Using a Matrix by Row Operations	-15x-15y-z=-4 , -9x-25y-2z=40 , 12x+15y+z=-5	$- 15 x - 15 y - z = - 4$ , $- 9 x - 25 y - 2 z = 40$ , $12 x + 15 y + z = - 5$
5578	Solve Using a Matrix by Row Operations	-15x-9y-z=-20 , -9x-15y-2z=14 , 12x+9y+z=11	$- 15 x - 9 y - z = - 20$ , $- 9 x - 15 y - 2 z = 14$ , $12 x + 9 y + z = 11$
5579	Solve Using a Matrix by Row Operations	-16x+4y=16 , 4x-y=0	$- 16 x + 4 y = 16$ , $4 x - y = 0$
5580	Solve Using a Matrix by Row Operations	1x+1y+1z+1w=7 , 1w+1x+1y-1z=3 , 2x+3y+1z+1w=19 , 3w-1x+1y+2z=16	$1 x + 1 y + 1 z + 1 w = 7$ , $1 w + 1 x + 1 y - 1 z = 3$ , $2 x + 3 y + 1 z + 1 w = 19$ , $3 w - 1 x + 1 y + 2 z = 16$
5581	Solve Using a Matrix by Row Operations	2.5x+15y=58 , 15x+15y=240	$2.5 x + 15 y = 58$ , $15 x + 15 y = 240$
5582	Solve Using a Matrix by Row Operations	-21x-2y+z=53 , 12x+y=33 , 24x-2y+z=-62	$- 21 x - 2 y + z = 53$ , $12 x + y = 33$ , $24 x - 2 y + z = - 62$
5583	Solve Using a Matrix by Row Operations	-21x-2y+z=-72 , 12x+y=44 , -24x-2y+z=-84	$- 21 x - 2 y + z = - 72$ , $12 x + y = 44$ , $- 24 x - 2 y + z = - 84$
5584	Solve Using a Matrix by Row Operations	-25x-9y-z=-58 , -15x-15y-2z=9 , 20x+9y+z=38	$- 25 x - 9 y - z = - 58$ , $- 15 x - 15 y - 2 z = 9$ , $20 x + 9 y + z = 38$
5585	Solve Using a Matrix by Row Operations	2x+4y=-6 , -3x-5y=12	$2 x + 4 y = - 6$ , $- 3 x - 5 y = 12$
5586	Solve Using a Matrix by Row Operations	2x1-x2=6 , x1+3x2=17	$2 x \cdot 1 - x \cdot 2 = 6$ , $x \cdot 1 + 3 x \cdot 2 = 17$
5587	Solve Using a Matrix by Row Operations	2x+2y+z=2 , x-2y+2z=1 , -x+2y-2z=-1	$2 x + 2 y + z = 2$ , $x - 2 y + 2 z = 1$ , $- x + 2 y - 2 z = - 1$
5588	Solve Using a Matrix by Row Operations	2x+3y+4z=12 , x+y+z=1 , x-2y+z=4	$2 x + 3 y + 4 z = 12$ , $x + y + z = 1$ , $x - 2 y + z = 4$
5589	Solve Using a Matrix by Row Operations	2x+3y+z=1 , x-2y-3z=4 , 3x+2y-z=4	$2 x + 3 y + z = 1$ , $x - 2 y - 3 z = 4$ , $3 x + 2 y - z = 4$
5590	Solve Using a Matrix by Row Operations	2x+3y=3 , x+2y+3z=1 , y+5z=0	$2 x + 3 y = 3$ , $x + 2 y + 3 z = 1$ , $y + 5 z = 0$
5591	Solve Using a Matrix by Row Operations	2x+3y=6 , 3x-2y=12	$2 x + 3 y = 6$ , $3 x - 2 y = 12$
5592	Solve Using a Matrix by Row Operations	2x+3y=-8 , 6x+9y=2	$2 x + 3 y = - 8$ , $6 x + 9 y = 2$
5593	Solve Using a Matrix by Row Operations	2x+3y-z=1 , 3x+5y+z=5	$2 x + 3 y - z = 1$ , $3 x + 5 y + z = 5$
5594	Solve Using a Matrix by Elimination	4x+5y=3 , 8x+10y=6	$4 x + 5 y = 3$ , $8 x + 10 y = 6$
5595	Solve Using a Matrix by Elimination	4x+5y=34 , 3x-10=53	$4 x + 5 y = 34$ , $3 x - 10 = 53$
5596	Solve Using a Matrix by Elimination	4x+7y=-12 , 11x+6y=20	$4 x + 7 y = - 12$ , $11 x + 6 y = 20$
5597	Solve Using a Matrix by Elimination	4x+y=11 , 3x+5y=7	$4 x + y = 11$ , $3 x + 5 y = 7$
5598	Solve Using a Matrix by Elimination	4x-15y-21z=9 , 2x+9y-13z=1 , x+3y-4z=4	$4 x - 15 y - 21 z = 9$ , $2 x + 9 y - 13 z = 1$ , $x + 3 y - 4 z = 4$
5599	Solve Using a Matrix by Elimination	4x-2y+z=16 , x+y=5	$4 x - 2 y + z = 16$ , $x + y = 5$
5600	Solve Using a Matrix by Elimination	4x-2y=-10 , 2x+4y=0	$4 x - 2 y = - 10$ , $2 x + 4 y = 0$