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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
5101	Solve Using a Matrix by Elimination	-x-6y-2z=9 , x+4y+6z=5 , -5x+y+6z=-16	$- x - 6 y - 2 z = 9$ , $x + 4 y + 6 z = 5$ , $- 5 x + y + 6 z = - 16$
5102	Solve Using a Matrix by Elimination	x-7y=-28 , -3x-8y=-61	$x - 7 y = - 28$ , $- 3 x - 8 y = - 61$
5103	Solve Using a Matrix by Elimination	x-7y=-45 , 2x-8y=-48	$x - 7 y = - 45$ , $2 x - 8 y = - 48$
5104	Solve Using a Matrix by Elimination	x-y+12z=11 , y-8z=-11 , z=2	$x - y + 12 z = 11$ , $y - 8 z = - 11$ , $z = 2$
5105	Solve Using a Matrix by Elimination	-x-3y=14 , 2x+6y=-28	$- x - 3 y = 14$ , $2 x + 6 y = - 28$
5106	Solve Using a Matrix by Elimination	x-3y=-5 , 2x-6y=-3	$x - 3 y = - 5$ , $2 x - 6 y = - 3$
5107	Solve Using a Matrix by Elimination	x-3y-4z=-7 , 5x+2y+2z=-1 , 4x-y-5z=-6	$x - 3 y - 4 z = - 7$ , $5 x + 2 y + 2 z = - 1$ , $4 x - y - 5 z = - 6$
5108	Solve Using a Matrix by Elimination	x-4y-3z=0 , -2x+9y+4z=-2 , 3x-13y-7z=2	$x - 4 y - 3 z = 0$ , $- 2 x + 9 y + 4 z = - 2$ , $3 x - 13 y - 7 z = 2$
5109	Solve Using a Matrix by Elimination	x-5y+3z=1 , 3x-2y+3z=-2	$x - 5 y + 3 z = 1$ , $3 x - 2 y + 3 z = - 2$
5110	Solve Using a Matrix by Row Operations	-3x-4y=-17 , x+2y=7	$- 3 x - 4 y = - 17$ , $x + 2 y = 7$
5111	Solve Using a Matrix by Row Operations	-3x-4y=2 , 8y=6x-4	$- 3 x - 4 y = 2$ , $8 y = 6 x - 4$
5112	Solve Using a Matrix by Row Operations	3x-4y=2 , -6x+8y=-4	$3 x - 4 y = 2$ , $- 6 x + 8 y = - 4$
5113	Solve Using a Matrix by Row Operations	3x-6y+6z=-3 , -6+12y-12z=6 , 6x-12y+12z=-6	$3 x - 6 y + 6 z = - 3$ , $- 6 + 12 y - 12 z = 6$ , $6 x - 12 y + 12 z = - 6$
5114	Solve Using a Matrix by Row Operations	-3x-9y+3z=-36 , -6x-18y+6z=-72 , 3x+9y-3z=36	$- 3 x - 9 y + 3 z = - 36$ , $- 6 x - 18 y + 6 z = - 72$ , $3 x + 9 y - 3 z = 36$
5115	Solve Using a Matrix by Row Operations	400x+1200y+800z=8800 , 110x+570y+340z=3380 , 90x+30y+60z=1020	$400 x + 1200 y + 800 z = 8800$ , $110 x + 570 y + 340 z = 3380$ , $90 x + 30 y + 60 z = 1020$
5116	Solve Using a Matrix by Row Operations	4x1-14x2-2x3=68 , x1-4x*2=19	$4 x \cdot 1 - 14 x \cdot 2 - 2 x \cdot 3 = 68$ , $x \cdot 1 - 4 x \cdot 2 = 19$
5117	Solve Using a Matrix by Row Operations	4x+12y=-12 , -x-3y=3 , -1/2x-3/2y=3/2	$4 x + 12 y = - 12$ , $- x - 3 y = 3$ , $- \frac{1}{2} x - \frac{3}{2} y = \frac{3}{2}$
5118	Solve Using a Matrix by Row Operations	4x+2y=20.94 , 6x+2y+2z=42.90 , 4x+1z=19.95	$4 x + 2 y = 20.94$ , $6 x + 2 y + 2 z = 42.9$ , $4 x + 1 z = 19.95$
5119	Solve Using a Matrix by Row Operations	4x+2y=20 , 9x+9y=36	$4 x + 2 y = 20$ , $9 x + 9 y = 36$
5120	Solve Using a Matrix by Row Operations	4x-5x=5 , -8x+10x=5	$4 x - 5 x = 5$ , $- 8 x + 10 x = 5$
5121	Solve Using a Matrix by Row Operations	4x-5y=15 , 8x-10y=30	$4 x - 5 y = 15$ , $8 x - 10 y = 30$
5122	Solve Using a Matrix by Row Operations	4x-y+3z=4 , -7y+3z=-16 , -6+7y+6z=58	$4 x - y + 3 z = 4$ , $- 7 y + 3 z = - 16$ , $- 6 + 7 y + 6 z = 58$
5123	Solve Using a Matrix by Row Operations	-4x-y+7z=9 , 8y+6z=-6 , 4x+2y+6z=1-22	$- 4 x - y + 7 z = 9$ , $8 y + 6 z = - 6$ , $4 x + 2 y + 6 z = 1 - 22$
5124	Solve Using a Matrix by Row Operations	4x-y=6 , x+y=3 , y=0	$4 x - y = 6$ , $x + y = 3$ , $y = 0$
5125	Solve Using a Matrix by Row Operations	5p+9q+13=0 , 3p-4q-11=11	$5 p + 9 q + 13 = 0$ , $3 p - 4 q - 11 = 11$
5126	Solve Using a Matrix by Row Operations	5x1-2x2=-9 , -10x1+4x2=18	$5 x \cdot 1 - 2 x \cdot 2 = - 9$ , $- 10 x \cdot 1 + 4 x \cdot 2 = 18$
5127	Solve Using a Matrix by Row Operations	5x1-2x2=-9 , 15x1-6x2=-27	$5 x \cdot 1 - 2 x \cdot 2 = - 9$ , $15 x \cdot 1 - 6 x \cdot 2 = - 27$
5128	Solve Using a Matrix by Row Operations	5x+4y-2z=0 , 7x-y+3z=1 , 12x+3y+z=1	$5 x + 4 y - 2 z = 0$ , $7 x - y + 3 z = 1$ , $12 x + 3 y + z = 1$
5129	Solve Using a Matrix by Row Operations	-5x+9y=1 , 2x-8y=9	$- 5 x + 9 y = 1$ , $2 x - 8 y = 9$
5130	Solve Using a Matrix by Row Operations	5x-3y+4z=7 , 5x+2y-2z=11 , 20x-7y+10z=32	$5 x - 3 y + 4 z = 7$ , $5 x + 2 y - 2 z = 11$ , $20 x - 7 y + 10 z = 32$
5131	拡大行列を用いて解く	-15x-3y=-72 , 6x+y=29	$- 15 x - 3 y = - 72$ , $6 x + y = 29$
5132	拡大行列を用いて解く	16x+8y=12000 , 16x+8y=7200	$16 x + 8 y = 12000$ , $16 x + 8 y = 7200$
5133	拡大行列を用いて解く	2x-5x^2=-9 , 6x-15x^2=-27	$2 x - 5 x^{2} = - 9$ , $6 x - 15 x^{2} = - 27$
5134	拡大行列を用いて解く	25x+100y+275z+100w=3675 , 30x+80y+210z+80w=4710 , 30x+80y+230z+60w=4110	$25 x + 100 y + 275 z + 100 w = 3675$ , $30 x + 80 y + 210 z + 80 w = 4710$ , $30 x + 80 y + 230 z + 60 w = 4110$
5135	拡大行列を用いて解く	25x+50y+75z+300=1350 , 40x+40y+40z+240=920 , 40x+40y+60z+200=1080	$25 x + 50 y + 75 z + 300 = 1350$ , $40 x + 40 y + 40 z + 240 = 920$ , $40 x + 40 y + 60 z + 200 = 1080$
5136	拡大行列を用いて解く	-25x-3y+69=0 , 10x+y-28=0	$- 25 x - 3 y + 69 = 0$ , $10 x + y - 28 = 0$
5137	拡大行列を用いて解く	27x1+8x2+43x3=29 , 15x1-19x2+31x3=16 , 22x1+18x2-12x*3=-17	$27 x \cdot 1 + 8 x \cdot 2 + 43 x \cdot 3 = 29$ , $15 x \cdot 1 - 19 x \cdot 2 + 31 x \cdot 3 = 16$ , $22 x \cdot 1 + 18 x \cdot 2 - 12 x \cdot 3 = - 17$
5138	拡大行列を用いて解く	2m-n=8 , m-2n=-2	$2 m - n = 8$ , $m - 2 n = - 2$
5139	拡大行列を用いて解く	2x1+2x2=6 , x1-x2=-1	$2 x \cdot 1 + 2 x \cdot 2 = 6$ , $x \cdot 1 - x \cdot 2 = - 1$
5140	拡大行列を用いて解く	2x1+3x2=8 , x1-x2=-1	$2 x \cdot 1 + 3 x \cdot 2 = 8$ , $x \cdot 1 - x \cdot 2 = - 1$
5141	拡大行列を用いて解く	2x1+x2+3x3=6 , -x1+2x2+x3=5 , x1+3x2+4x*3=11	$2 x \cdot 1 + x \cdot 2 + 3 x \cdot 3 = 6$ , $- x \cdot 1 + 2 x \cdot 2 + x \cdot 3 = 5$ , $x \cdot 1 + 3 x \cdot 2 + 4 x \cdot 3 = 11$
5142	拡大行列を用いて解く	2x1-x2-5x3=8 , x1-3x*2=9	$2 x \cdot 1 - x \cdot 2 - 5 x \cdot 3 = 8$ , $x \cdot 1 - 3 x \cdot 2 = 9$
5143	拡大行列を用いて解く	2x+2y=-6 , 8x+9y=2 , 6x+4y=8	$2 x + 2 y = - 6$ , $8 x + 9 y = 2$ , $6 x + 4 y = 8$
5144	拡大行列を用いて解く	2x+2y=-9 , 8x+9y=-15 , 6x+2y=-6	$2 x + 2 y = - 9$ , $8 x + 9 y = - 15$ , $6 x + 2 y = - 6$
5145	拡大行列を用いて解く	-2x+2z=-2 , 6y+6z=84 , -2x+7y+4z=56	$- 2 x + 2 z = - 2$ , $6 y + 6 z = 84$ , $- 2 x + 7 y + 4 z = 56$
5146	拡大行列を用いて解く	2x+3y+u=12 , 2x+y+v=8 , -3x-2y+p=0	$2 x + 3 y + u = 12$ , $2 x + y + v = 8$ , $- 3 x - 2 y + p = 0$
5147	拡大行列を用いて解く	2x+3y+z=9 , 4x+y-3z=-7 , 6x+2y-4z=-8	$2 x + 3 y + z = 9$ , $4 x + y - 3 z = - 7$ , $6 x + 2 y - 4 z = - 8$
5148	拡大行列を用いて解く	2x+3y=10 , 4x+6y=9	$2 x + 3 y = 10$ , $4 x + 6 y = 9$
5149	拡大行列を用いて解く	2x+3y=11 , -4x-6y=-22	$2 x + 3 y = 11$ , $- 4 x - 6 y = - 22$
5150	拡大行列を用いて解く	2x+3y=2 , 5x+3y=-4	$2 x + 3 y = 2$ , $5 x + 3 y = - 4$
5151	拡大行列を用いて解く	2x+3y=2 , 7x+11y=2	$2 x + 3 y = 2$ , $7 x + 11 y = 2$
5152	拡大行列を用いて解く	2x+3y=7 , 3x-10y=12	$2 x + 3 y = 7$ , $3 x - 10 y = 12$
5153	拡大行列を用いて解く	2x+3y=-8 , -2x-3y=10	$2 x + 3 y = - 8$ , $- 2 x - 3 y = 10$
5154	拡大行列を用いて解く	2x+3y=-8 , 6x+9y=2	$2 x + 3 y = - 8$ , $6 x + 9 y = 2$
5155	拡大行列を用いて解く	2x+3y-3z=0 , 3x-y+4z=1 , 5x+2y+z=1	$2 x + 3 y - 3 z = 0$ , $3 x - y + 4 z = 1$ , $5 x + 2 y + z = 1$
5156	拡大行列を用いて解く	2x+3y-4z=17 , x-y+z=0 , 3x+z=7	$2 x + 3 y - 4 z = 17$ , $x - y + z = 0$ , $3 x + z = 7$
5157	拡大行列を用いて解く	2x+4y=0 , 6x+3y=9	$2 x + 4 y = 0$ , $6 x + 3 y = 9$
5158	拡大行列を用いて解く	-2x+4y=3 , 6x-7y=1	$- 2 x + 4 y = 3$ , $6 x - 7 y = 1$
5159	Solve Using a Matrix by Row Operations	x+y=7 , 4x+3y=23	$x + y = 7$ , $4 x + 3 y = 23$
5160	Solve Using a Matrix by Row Operations	x+y=8 , x-y=4	$x + y = 8$ , $x - y = 4$
5161	Solve Using a Matrix by Row Operations	x+y-4z=5 , x-y-3z=0 , 2/3x-7/3z=4	$x + y - 4 z = 5$ , $x - y - 3 z = 0$ , $\frac{2}{3} x - \frac{7}{3} z = 4$
5162	Solve Using a Matrix by Row Operations	x+y-7z=2 , x-y-3z=0 , 2/3x-10/3z=5	$x + y - 7 z = 2$ , $x - y - 3 z = 0$ , $\frac{2}{3} x - \frac{10}{3} z = 5$
5163	Solve Using a Matrix by Row Operations	x+y-9z=4 , x-y-5z=0 , 2/5x+0-14/5z=7	$x + y - 9 z = 4$ , $x - y - 5 z = 0$ , $\frac{2}{5} x + 0 - \frac{14}{5} z = 7$
5164	Solve Using a Matrix by Row Operations	x+y-z=1 , 2x-y+z=-4 , x-4y+3z=-27	$x + y - z = 1$ , $2 x - y + z = - 4$ , $x - 4 y + 3 z = - 27$
5165	Solve Using a Matrix by Row Operations	x+y-z=-1 , 3x-y+z=5 , x-2y+4z=29	$x + y - z = - 1$ , $3 x - y + z = 5$ , $x - 2 y + 4 z = 29$
5166	Solve Using a Matrix by Row Operations	x+y-z=-3 , 4x-y+z=-2 , x-3y+2z=-14	$x + y - z = - 3$ , $4 x - y + z = - 2$ , $x - 3 y + 2 z = - 14$
5167	Solve Using a Matrix by Row Operations	x+y-z=4 , -x+y+7z=20 , 2x-4y+2z=-9	$x + y - z = 4$ , $- x + y + 7 z = 20$ , $2 x - 4 y + 2 z = - 9$
5168	Solve Using a Matrix by Row Operations	x+y-z=-5 , 2x-y+z=-1 , x-4y+3z=-6	$x + y - z = - 5$ , $2 x - y + z = - 1$ , $x - 4 y + 3 z = - 6$
5169	Solve Using a Matrix by Row Operations	x+y-z=-5 , 3x-y+z=5 , x-2y+4z=4	$x + y - z = - 5$ , $3 x - y + z = 5$ , $x - 2 y + 4 z = 4$
5170	Solve Using a Matrix by Row Operations	x+y-z=7 , -x-5y-11z=-43 , 2x-y+3z=1	$x + y - z = 7$ , $- x - 5 y - 11 z = - 43$ , $2 x - y + 3 z = 1$
5171	Solve Using a Matrix by Row Operations	x+y-z=8 , 4x-y+z=-8 , x-3y+2z=-35	$x + y - z = 8$ , $4 x - y + z = - 8$ , $x - 3 y + 2 z = - 35$
5172	Solve Using a Matrix by Row Operations	x+y-z=-9 , 4x-y+z=-1 , x-3y+2z=1	$x + y - z = - 9$ , $4 x - y + z = - 1$ , $x - 3 y + 2 z = 1$
5173	Solve Using a Matrix by Row Operations	x-2y+3z+w=-14 , x-3y+z-w=-25 , x-y=-8 , x+z+w=2	$x - 2 y + 3 z + w = - 14$ , $x - 3 y + z - w = - 25$ , $x - y = - 8$ , $x + z + w = 2$
5174	拡大行列を用いて解く	2x+5y-2z=14 , 5x-6y+2z=0 , 4x-y+3z=7	$2 x + 5 y - 2 z = 14$ , $5 x - 6 y + 2 z = 0$ , $4 x - y + 3 z = 7$
5175	拡大行列を用いて解く	2x+5y-z=1 , 3x+8y+z=5	$2 x + 5 y - z = 1$ , $3 x + 8 y + z = 5$
5176	拡大行列を用いて解く	-2x+6y=4 , 3x-9y=-6	$- 2 x + 6 y = 4$ , $3 x - 9 y = - 6$
5177	拡大行列を用いて解く	2x+6y=7 , -3x-9y=-10	$2 x + 6 y = 7$ , $- 3 x - 9 y = - 10$
5178	拡大行列を用いて解く	2x+7y=5 , 7x+2y=-5	$2 x + 7 y = 5$ , $7 x + 2 y = - 5$
5179	拡大行列を用いて解く	2x+8y=3 , x+4y=6	$2 x + 8 y = 3$ , $x + 4 y = 6$
5180	拡大行列を用いて解く	2x+9y-3z=0 , 3x-y+4z=1 , 5x+8y+z=1	$2 x + 9 y - 3 z = 0$ , $3 x - y + 4 z = 1$ , $5 x + 8 y + z = 1$
5181	拡大行列を用いて解く	2x+9y-5z=0 , 7x-4y+6z=1 , 9x+5y+z=1	$2 x + 9 y - 5 z = 0$ , $7 x - 4 y + 6 z = 1$ , $9 x + 5 y + z = 1$
5182	拡大行列を用いて解く	-2x+y+5z=5 , x-y+8z=1	$- 2 x + y + 5 z = 5$ , $x - y + 8 z = 1$
5183	拡大行列を用いて解く	2x+y=1 , 4x+2y=6	$2 x + y = 1$ , $4 x + 2 y = 6$
5184	拡大行列を用いて解く	2x+5y+7z=8 , 7x+4y+7z=36 , 2x+9y+7z=16	$2 x + 5 y + 7 z = 8$ , $7 x + 4 y + 7 z = 36$ , $2 x + 9 y + 7 z = 16$
5185	拡大行列を用いて解く	2x+5y=11 , 6x+15y=33	$2 x + 5 y = 11$ , $6 x + 15 y = 33$
5186	拡大行列を用いて解く	-2x+5y=9 , -4x+10y=18	$- 2 x + 5 y = 9$ , $- 4 x + 10 y = 18$
5187	Solve Using a Matrix by Elimination	x-z=0 , x+y+z=105 , 75x+45y+57z=5691	$x - z = 0$ , $x + y + z = 105$ , $75 x + 45 y + 57 z = 5691$
5188	Solve Using a Matrix by Elimination	y+3z=-4 , x+2y+2=7 , x-2y=1	$y + 3 z = - 4$ , $x + 2 y + 2 = 7$ , $x - 2 y = 1$
5189	Solve Using a Matrix by Elimination	y=30-6x , 6x+y=60	$y = 30 - 6 x$ , $6 x + y = 60$
5190	Solve Using a Matrix by Elimination	y=3x , x+y=-32	$y = 3 x$ , $x + y = - 32$
5191	拡大行列を用いて解く	3x-2y+5z=31 , x+3y-3z=-12 , -2x-5y+3z=11	$3 x - 2 y + 5 z = 31$ , $x + 3 y - 3 z = - 12$ , $- 2 x - 5 y + 3 z = 11$
5192	拡大行列を用いて解く	3x-2y+z=16 , x+y=7	$3 x - 2 y + z = 16$ , $x + y = 7$
5193	拡大行列を用いて解く	3x-2y=-1 , 2x+y=5 , x-2y=-4	$3 x - 2 y = - 1$ , $2 x + y = 5$ , $x - 2 y = - 4$
5194	拡大行列を用いて解く	3x-2y=-1 , -6x+4y=2	$3 x - 2 y = - 1$ , $- 6 x + 4 y = 2$
5195	拡大行列を用いて解く	3x-2y=-12 , -x+3y=11 , 2x-4y=-16	$3 x - 2 y = - 12$ , $- x + 3 y = 11$ , $2 x - 4 y = - 16$
5196	拡大行列を用いて解く	3x-2y=17 , 2x+7y=-47	$3 x - 2 y = 17$ , $2 x + 7 y = - 47$
5197	拡大行列を用いて解く	3x-2y=3 , 4x+3y=-2	$3 x - 2 y = 3$ , $4 x + 3 y = - 2$
5198	拡大行列を用いて解く	3x-2y=-3 , 7x-y=4	$3 x - 2 y = - 3$ , $7 x - y = 4$
5199	拡大行列を用いて解く	3x-2y=-6 , 4x+3y=10	$3 x - 2 y = - 6$ , $4 x + 3 y = 10$
5200	拡大行列を用いて解く	3x-3y=12 , 2x+y=10	$3 x - 3 y = 12$ , $2 x + y = 10$