Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
27401	Solve Using a Matrix with Cramer's Rule	4x-3y=5 , 10x+y=21	$4 x - 3 y = 5$ , $10 x + y = 21$
27402	Solve Using a Matrix with Cramer's Rule	4x-3y=7 , 5x+2y=5	$4 x - 3 y = 7$ , $5 x + 2 y = 5$
27403	Solve Using a Matrix with Cramer's Rule	4x-4y=12 , 4x+2y=6	$4 x - 4 y = 12$ , $4 x + 2 y = 6$
27404	Solve Using a Matrix with Cramer's Rule	4x-4y-2z=-8 , 2x-y-4z=-18 , x-4y=9	$4 x - 4 y - 2 z = - 8$ , $2 x - y - 4 z = - 18$ , $x - 4 y = 9$
27405	Solve Using a Matrix with Cramer's Rule	-4x-4y-3z=-22 , 6x+2y-3z=14 , -9x-5y+8z=-16	$- 4 x - 4 y - 3 z = - 22$ , $6 x + 2 y - 3 z = 14$ , $- 9 x - 5 y + 8 z = - 16$
27406	Solve Using a Matrix with Cramer's Rule	-4x-4z=-12 , -6x+6y-4z=40 , -7x-6y=-61	$- 4 x - 4 z = - 12$ , $- 6 x + 6 y - 4 z = 40$ , $- 7 x - 6 y = - 61$
27407	Solve Using a Matrix with Cramer's Rule	4x-5y+z=7 , x+y=5	$4 x - 5 y + z = 7$ , $x + y = 5$
27408	Solve Using a Matrix with Cramer's Rule	4x-5y+z=8 , -12x+15y-3z=9	$4 x - 5 y + z = 8$ , $- 12 x + 15 y - 3 z = 9$
27409	Solve Using a Matrix with Cramer's Rule	4x-5y=1 , -40x+3y=12	$4 x - 5 y = 1$ , $- 40 x + 3 y = 12$
27410	Solve Using a Matrix with Cramer's Rule	4x-5y=17 , 2x+3y=3	$4 x - 5 y = 17$ , $2 x + 3 y = 3$
27411	Solve Using a Matrix with Cramer's Rule	-4x-5y=-22 , 30x+39y=180 , 15x+19y=85	$- 4 x - 5 y = - 22$ , $30 x + 39 y = 180$ , $15 x + 19 y = 85$
27412	Solve Using a Matrix with Cramer's Rule	4x-8y=48 , 12x-24y=1	$4 x - 8 y = 48$ , $12 x - 24 y = 1$
27413	Solve Using a Matrix with Cramer's Rule	4x-y+3z=-8 , x-8y+5z=3 , 2y-7z=-4	$4 x - y + 3 z = - 8$ , $x - 8 y + 5 z = 3$ , $2 y - 7 z = - 4$
27414	Solve Using a Matrix with Cramer's Rule	4x-y=7 , 5x+4y=35	$4 x - y = 7$ , $5 x + 4 y = 35$
27415	Solve Using a Matrix with Cramer's Rule	4x-y=7 , x+3y=18	$4 x - y = 7$ , $x + 3 y = 18$
27416	Solve Using a Matrix with Cramer's Rule	-4x-y-4z=4 , -x+3y+6z=4 , 16x+4y+16z=-16	$- 4 x - y - 4 z = 4$ , $- x + 3 y + 6 z = 4$ , $16 x + 4 y + 16 z = - 16$
27417	Solve Using a Matrix with Cramer's Rule	4z-x=0 , 3y=12+6z , 5x+9y-14=0	$4 z - x = 0$ , $3 y = 12 + 6 z$ , $5 x + 9 y - 14 = 0$
27418	Solve Using a Matrix with Cramer's Rule	5w-8x-7y+z=-19 , -9x+y=-26 , w+x+7y=12 , -7w-7x+2y=-33	$5 w - 8 x - 7 y + z = - 19$ , $- 9 x + y = - 26$ , $w + x + 7 y = 12$ , $- 7 w - 7 x + 2 y = - 33$
27419	Solve Using a Matrix with Cramer's Rule	5a+4b=-1 , 3a-6b=5	$5 a + 4 b = - 1$ , $3 a - 6 b = 5$
27420	Solve Using a Matrix with Cramer's Rule	5x+12y+6z=18 , 2x+5y+5z=-4 , x+2y-4z=3	$5 x + 12 y + 6 z = 18$ , $2 x + 5 y + 5 z = - 4$ , $x + 2 y - 4 z = 3$
27421	Solve Using a Matrix with Cramer's Rule	5x+2y+z=15 , 3x+y+2z=13 , 3x+2y+4z=20	$5 x + 2 y + z = 15$ , $3 x + y + 2 z = 13$ , $3 x + 2 y + 4 z = 20$
27422	Solve Using a Matrix with Cramer's Rule	5x+2y=14 , 7x-3y=8	$5 x + 2 y = 14$ , $7 x - 3 y = 8$
27423	Solve Using a Matrix with Cramer's Rule	5x+2y=-5 , 10x+4y=10	$5 x + 2 y = - 5$ , $10 x + 4 y = 10$
27424	Solve Using a Matrix with Cramer's Rule	5x+2y-2=1 , x-2y+2z=0 , 2x-3y+2=-2	$5 x + 2 y - 2 = 1$ , $x - 2 y + 2 z = 0$ , $2 x - 3 y + 2 = - 2$
27425	Solve Using a Matrix with Cramer's Rule	2x=2y+2 , 3x=21-3y	$2 x = 2 y + 2$ , $3 x = 21 - 3 y$
27426	Solve Using a Matrix with Cramer's Rule	2x=6 , -2x-2y=0	$2 x = 6$ , $- 2 x - 2 y = 0$
27427	Solve Using a Matrix with Cramer's Rule	2x-11y+z=5 , -3x+10y-z=-4 , -13y+z=7	$2 x - 11 y + z = 5$ , $- 3 x + 10 y - z = - 4$ , $- 13 y + z = 7$
27428	Solve Using a Matrix with Cramer's Rule	-2x-2y+3z=7 , 5x+7y-z=2 , 2x+2y-3z=-7	$- 2 x - 2 y + 3 z = 7$ , $5 x + 7 y - z = 2$ , $2 x + 2 y - 3 z = - 7$
27429	Solve Using a Matrix with Cramer's Rule	-2x-2y+4z=7 , 5x+7y-z=2 , 2x+2y-4z=-7	$- 2 x - 2 y + 4 z = 7$ , $5 x + 7 y - z = 2$ , $2 x + 2 y - 4 z = - 7$
27430	Solve Using a Matrix with Cramer's Rule	2x-2y+7z=9 , 2x+y-2y=-1 , 10x-y-7z=0	$2 x - 2 y + 7 z = 9$ , $2 x + y - 2 y = - 1$ , $10 x - y - 7 z = 0$
27431	Solve Using a Matrix with Cramer's Rule	2x-3y+5z=-18 , 4x-y-2z=-43 , -x-y+z=10	$2 x - 3 y + 5 z = - 18$ , $4 x - y - 2 z = - 43$ , $- x - y + z = 10$
27432	Solve Using a Matrix with Cramer's Rule	2x-3y+z=1 , x-2y+3z=2 , 3z-4y-z=1	$2 x - 3 y + z = 1$ , $x - 2 y + 3 z = 2$ , $3 z - 4 y - z = 1$
27433	Solve Using a Matrix with Cramer's Rule	2x-3y+z=5 , -x+2y-z=1 , -3x+5y=0	$2 x - 3 y + z = 5$ , $- x + 2 y - z = 1$ , $- 3 x + 5 y = 0$
27434	Solve Using a Matrix with Cramer's Rule	2x+y=0 , x+y=1	$2 x + y = 0$ , $x + y = 1$
27435	Solve Using a Matrix with Cramer's Rule	2x+y=11 , 3x-4y=0	$2 x + y = 11$ , $3 x - 4 y = 0$
27436	Solve Using a Matrix with Cramer's Rule	2x+y=17 , 3x-5y=6	$2 x + y = 17$ , $3 x - 5 y = 6$
27437	Solve Using a Matrix with Cramer's Rule	2x+y-3z=4 , 4x+2z=10 , -2x+3y-13z=-8	$2 x + y - 3 z = 4$ , $4 x + 2 z = 10$ , $- 2 x + 3 y - 13 z = - 8$
27438	Solve Using a Matrix with Cramer's Rule	2x+y-z=-3 , 3x+3y+z=11 , x-2y+4z=16	$2 x + y - z = - 3$ , $3 x + 3 y + z = 11$ , $x - 2 y + 4 z = 16$
27439	Solve Using a Matrix with Cramer's Rule	2x+y-z=7 , 5x-4y+7z=1 , 7x-3y+6z=8	$2 x + y - z = 7$ , $5 x - 4 y + 7 z = 1$ , $7 x - 3 y + 6 z = 8$
27440	Solve Using a Matrix with Cramer's Rule	6x-5y=-18 , -13x+3y=-8	$6 x - 5 y = - 18$ , $- 13 x + 3 y = - 8$
27441	Solve Using a Matrix with Cramer's Rule	-6x-9y=9 , 4x+6y=-6	$- 6 x - 9 y = 9$ , $4 x + 6 y = - 6$
27442	Solve Using a Matrix with Cramer's Rule	-6x-y=-46 , 4x-y=24	$- 6 x - y = - 46$ , $4 x - y = 24$
27443	Solve Using a Matrix with Cramer's Rule	6y+6z=-6 , 4x-6y-3z=0 , x+y+z=2	$6 y + 6 z = - 6$ , $4 x - 6 y - 3 z = 0$ , $x + y + z = 2$
27444	Solve by Graphing	x+y=-3 , y=x-8	$x + y = - 3$ , $y = x - 8$
27445	Solve by Graphing	x+y=30 , 0.25x+0.5y=0.4*30	$x + y = 30$ , $0.25 x + 0.5 y = 0.4 \cdot 30$
27446	Solve by Graphing	x+y=4 , x-y=6	$x + y = 4$ , $x - y = 6$
27447	Solve by Graphing	x+y=4 , 2x-y=2	$x + y = 4$ , $2 x - y = 2$
27448	Solve by Graphing	x+y=4 , 3x+y=8	$x + y = 4$ , $3 x + y = 8$
27449	Solve Using a Matrix with Cramer's Rule	3x-2y=21 , 5x+3y=16	$3 x - 2 y = 21$ , $5 x + 3 y = 16$
27450	Solve Using a Matrix with Cramer's Rule	3x-2y=5 , 7x+2y=25	$3 x - 2 y = 5$ , $7 x + 2 y = 25$
27451	Solve Using a Matrix with Cramer's Rule	3x-3y+4z=4 , 6x-5y+4z=5 , -3x+4y-8z=-8	$3 x - 3 y + 4 z = 4$ , $6 x - 5 y + 4 z = 5$ , $- 3 x + 4 y - 8 z = - 8$
27452	Solve Using a Matrix with Cramer's Rule	3x-3y+6z=15 , 3x+y-3z=-5 , 23x-y-6z=0	$3 x - 3 y + 6 z = 15$ , $3 x + y - 3 z = - 5$ , $23 x - y - 6 z = 0$
27453	Solve Using a Matrix with Cramer's Rule	3x-3y+z=4 , -3x+y-2z=1 , 2x+3y+z=3	$3 x - 3 y + z = 4$ , $- 3 x + y - 2 z = 1$ , $2 x + 3 y + z = 3$
27454	Solve Using a Matrix with Cramer's Rule	3x-3y=1 , 15x+15y=7	$3 x - 3 y = 1$ , $15 x + 15 y = 7$
27455	Solve Using a Matrix with Cramer's Rule	3x-4y+2z=1 , x-2y+2z=-2 , 2x+y-3z=-3	$3 x - 4 y + 2 z = 1$ , $x - 2 y + 2 z = - 2$ , $2 x + y - 3 z = - 3$
27456	Solve Using a Matrix with Cramer's Rule	3x-4y+2z=1 , x-y+2z=-2 , 2x+2y+3z=-3	$3 x - 4 y + 2 z = 1$ , $x - y + 2 z = - 2$ , $2 x + 2 y + 3 z = - 3$
27457	Solve Using a Matrix with Cramer's Rule	3x-4y+5z=11 , 2x+5y-2z=9 , x+2y-3z=-5	$3 x - 4 y + 5 z = 11$ , $2 x + 5 y - 2 z = 9$ , $x + 2 y - 3 z = - 5$
27458	Solve Using a Matrix with Cramer's Rule	3x-4y+z=14 , x+y=7	$3 x - 4 y + z = 14$ , $x + y = 7$
27459	Solve Using a Matrix with Cramer's Rule	8r-s+t=31 , 4r+2s-3t=-8 , r-3s+21=18	$8 r - s + t = 31$ , $4 r + 2 s - 3 t = - 8$ , $r - 3 s + 21 = 18$
27460	Solve Using a Matrix with Cramer's Rule	8x+3y=10 , 9x+4y=15	$8 x + 3 y = 10$ , $9 x + 4 y = 15$
27461	Solve Using a Matrix with Cramer's Rule	8x+3y=-7 , x+4y=12	$8 x + 3 y = - 7$ , $x + 4 y = 12$
27462	Solve Using a Matrix with Cramer's Rule	-8x+3y=-8 , -8x+y=-3	$- 8 x + 3 y = - 8$ , $- 8 x + y = - 3$
27463	Solve Using a Matrix with Cramer's Rule	8x+4y=-8 , -16x-8y=17	$8 x + 4 y = - 8$ , $- 16 x - 8 y = 17$
27464	Solve Using a Matrix with Cramer's Rule	8x+5y=6 , 7x-y=4	$8 x + 5 y = 6$ , $7 x - y = 4$
27465	Solve Using a Matrix with Cramer's Rule	8x+7y=12 , 5x+6y=-2	$8 x + 7 y = 12$ , $5 x + 6 y = - 2$
27466	Solve Using a Matrix with Cramer's Rule	-8x+8y=7 , x-5y=7	$- 8 x + 8 y = 7$ , $x - 5 y = 7$
27467	Solve Using a Matrix with Cramer's Rule	8x=24 , 6x+6y=0	$8 x = 24$ , $6 x + 6 y = 0$
27468	Solve Using a Matrix with Cramer's Rule	8x-2y=9 , 4x+6y=5	$8 x - 2 y = 9$ , $4 x + 6 y = 5$
27469	Solve Using a Matrix with Cramer's Rule	8x-3y+6z=-2 , 4x+9y+4z=18 , 12x-3y+8z=-2	$8 x - 3 y + 6 z = - 2$ , $4 x + 9 y + 4 z = 18$ , $12 x - 3 y + 8 z = - 2$
27470	Solve Using a Matrix with Cramer's Rule	8x-3y=-1 , 10x+10y=7	$8 x - 3 y = - 1$ , $10 x + 10 y = 7$
27471	Solve Using a Matrix with Cramer's Rule	9x+10y=-1 , 36x-40y=5	$9 x + 10 y = - 1$ , $36 x - 40 y = 5$
27472	Solve Using a Matrix with Cramer's Rule	9x+20y+6z=20 , 4x+9y+4z=-1 , x+2y-2z=1	$9 x + 20 y + 6 z = 20$ , $4 x + 9 y + 4 z = - 1$ , $x + 2 y - 2 z = 1$
27473	Solve Using a Matrix with Cramer's Rule	9x+2y=37 , 2x-6y=5	$9 x + 2 y = 37$ , $2 x - 6 y = 5$
27474	Solve Using a Matrix with Cramer's Rule	9x+4y=15 , 8x+2y=18	$9 x + 4 y = 15$ , $8 x + 2 y = 18$
27475	Solve Using a Matrix with Cramer's Rule	9x+7y=4 , -2x+3y=-10	$9 x + 7 y = 4$ , $- 2 x + 3 y = - 10$
27476	Solve Using a Matrix with Cramer's Rule	9x+9y=81 , 3y=18	$9 x + 9 y = 81$ , $3 y = 18$
27477	Solve Using a Matrix with Cramer's Rule	9x+9y-z=25 , x+8y+6z=22 , 3x+y+z=9	$9 x + 9 y - z = 25$ , $x + 8 y + 6 z = 22$ , $3 x + y + z = 9$
27478	Solve Using a Matrix with Cramer's Rule	9x+y+7z=4 , 5x-7y-z=8 , x-5y-9z=-7	$9 x + y + 7 z = 4$ , $5 x - 7 y - z = 8$ , $x - 5 y - 9 z = - 7$
27479	Solve Using a Matrix with Cramer's Rule	9x-12y=-144 , 2x+4y=8	$9 x - 12 y = - 144$ , $2 x + 4 y = 8$
27480	Solve Using a Matrix with Cramer's Rule	9x-3y-2z=-23 , 7x+4y-3z=23 , 2x+8y-8z=62	$9 x - 3 y - 2 z = - 23$ , $7 x + 4 y - 3 z = 23$ , $2 x + 8 y - 8 z = 62$
27481	Solve Using a Matrix with Cramer's Rule	9x-6y=12 , 4x+6y=-12	$9 x - 6 y = 12$ , $4 x + 6 y = - 12$
27482	Solve Using a Matrix with Cramer's Rule	9x-7y=7 , 2x+9y=7	$9 x - 7 y = 7$ , $2 x + 9 y = 7$
27483	Solve Using a Matrix with Cramer's Rule	9x-y+4z=-35 , 3x+9y-z=56 , x+4y+9z=93	$9 x - y + 4 z = - 35$ , $3 x + 9 y - z = 56$ , $x + 4 y + 9 z = 93$
27484	Solve Using a Matrix with Cramer's Rule	5x+3y=21 , 4x-6y=14	$5 x + 3 y = 21$ , $4 x - 6 y = 14$
27485	Solve Using a Matrix with Cramer's Rule	5x+3y=39 , 4x-2y=18	$5 x + 3 y = 39$ , $4 x - 2 y = 18$
27486	Solve Using a Matrix with Cramer's Rule	5x+3y-4z=-3 , x-4y=1 , 5x+3y+5z=0	$5 x + 3 y - 4 z = - 3$ , $x - 4 y = 1$ , $5 x + 3 y + 5 z = 0$
27487	Solve Using a Matrix with Cramer's Rule	-5x+5y=10 , -2x+2y=-4	$- 5 x + 5 y = 10$ , $- 2 x + 2 y = - 4$
27488	Solve Using a Matrix with Cramer's Rule	5x+5y=2 , 4x+7y=8	$5 x + 5 y = 2$ , $4 x + 7 y = 8$
27489	Solve Using a Matrix with Cramer's Rule	5x+5y-20z=10 , 5x+y-z=7 , -x-y+4z=3	$5 x + 5 y - 20 z = 10$ , $5 x + y - z = 7$ , $- x - y + 4 z = 3$
27490	Solve Using a Matrix with Cramer's Rule	-5x+5y-25z=-40 , x-y+5z=8 , 2x-2y+10z=16	$- 5 x + 5 y - 25 z = - 40$ , $x - y + 5 z = 8$ , $2 x - 2 y + 10 z = 16$
27491	Solve Using a Matrix with Cramer's Rule	5x+5y-2x=1 , 3x-y+z=3 , x-7y+4x=1	$5 x + 5 y - 2 x = 1$ , $3 x - y + z = 3$ , $x - 7 y + 4 x = 1$
27492	Solve Using a Matrix with Cramer's Rule	5x+7y=-1 , 6x+8y=1	$5 x + 7 y = - 1$ , $6 x + 8 y = 1$
27493	Solve Using a Matrix with Cramer's Rule	-5x+8y=86 , 3x-4y=-50	$- 5 x + 8 y = 86$ , $3 x - 4 y = - 50$
27494	Solve Using a Matrix with Cramer's Rule	-5x+y=-3 , 4x-y=-1	$- 5 x + y = - 3$ , $4 x - y = - 1$
27495	Solve Using a Matrix with Cramer's Rule	5x+y=3 , 5x-z=1 , y+z=2	$5 x + y = 3$ , $5 x - z = 1$ , $y + z = 2$
27496	Solve Using a Matrix with Cramer's Rule	-5x+y=5 , 5x-6y=1	$- 5 x + y = 5$ , $5 x - 6 y = 1$
27497	Solve Using a Matrix with Cramer's Rule	5x+y=7 , x-y=5	$5 x + y = 7$ , $x - y = 5$
27498	Solve Using a Matrix with Cramer's Rule	5x+y-4z=-4 , -3y-6z=-21 , -x-y-z=-6	$5 x + y - 4 z = - 4$ , $- 3 y - 6 z = - 21$ , $- x - y - z = - 6$
27499	Solve Using a Matrix with Cramer's Rule	5x=10 , 4x+4y=0	$5 x = 10$ , $4 x + 4 y = 0$
27500	Solve Using a Matrix with Cramer's Rule	5x=15 , -2x-2y=0	$5 x = 15$ , $- 2 x - 2 y = 0$