Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
6001	Solve Using an Inverse Matrix	x+3y=3 , -x-3y=3	$x + 3 y = 3$ , $- x - 3 y = 3$
6002	Solve Using an Inverse Matrix	x+3y=3 , -x-3y=-3	$x + 3 y = 3$ , $- x - 3 y = - 3$
6003	Solve Using an Inverse Matrix	-x+3y=4 , x+3y=6	$- x + 3 y = 4$ , $x + 3 y = 6$
6004	Solve Using an Inverse Matrix	x+3y=5 , -2x-9y=-7	$x + 3 y = 5$ , $- 2 x - 9 y = - 7$
6005	Solve Using an Inverse Matrix	x+2z=6 , -x+2y+3z=-5 , x-y=6	$x + 2 z = 6$ , $- x + 2 y + 3 z = - 5$ , $x - y = 6$
6006	Solve Using an Inverse Matrix	x+2z=9 , 2y+z=8 , 4x-3y=-2	$x + 2 z = 9$ , $2 y + z = 8$ , $4 x - 3 y = - 2$
6007	Solve Using an Inverse Matrix	4x+3y=4 , 6x+4y=4	$4 x + 3 y = 4$ , $6 x + 4 y = 4$
6008	Solve Using an Inverse Matrix	4x+3y=5 , 6x+4y=4	$4 x + 3 y = 5$ , $6 x + 4 y = 4$
6009	Solve Using an Inverse Matrix	4x+3y=-5 , -x+3y=-10	$4 x + 3 y = - 5$ , $- x + 3 y = - 10$
6010	Solve Using an Inverse Matrix	x+4y=-14 , 2x+5y=-19	$x + 4 y = - 14$ , $2 x + 5 y = - 19$
6011	Solve Using an Inverse Matrix	x+4y=-14 , 4x+3y=-4	$x + 4 y = - 14$ , $4 x + 3 y = - 4$
6012	Solve Using an Inverse Matrix	-x+4y=2 , 2x+y=5	$- x + 4 y = 2$ , $2 x + y = 5$
6013	Solve Using an Inverse Matrix	x+4y=4 , -x-4y=-4	$x + 4 y = 4$ , $- x - 4 y = - 4$
6014	Solve Using an Inverse Matrix	-x+4y=-4 , x-4y=4	$- x + 4 y = - 4$ , $x - 4 y = 4$
6015	Solve Using an Inverse Matrix	x+4y=7 , 6x-8y=18	$x + 4 y = 7$ , $6 x - 8 y = 18$
6016	Solve Using an Inverse Matrix	-x+4y=7 , x+5y=74	$- x + 4 y = 7$ , $x + 5 y = 74$
6017	Solve Using an Inverse Matrix	x+4y=-9 , 5x=2y-1	$x + 4 y = - 9$ , $5 x = 2 y - 1$
6018	Solve Using an Inverse Matrix	x+4y=9 , -x+5y=9	$x + 4 y = 9$ , $- x + 5 y = 9$
6019	Solve Using an Inverse Matrix	x+4y-z=1 , 5x-6y+z=-22 , -5x+2y-2x=14	$x + 4 y - z = 1$ , $5 x - 6 y + z = - 22$ , $- 5 x + 2 y - 2 x = 14$
6020	Solve Using an Inverse Matrix	x+4z=13 , 4x-2y+z=7 , 2x-2y-7z=-19	$x + 4 z = 13$ , $4 x - 2 y + z = 7$ , $2 x - 2 y - 7 z = - 19$
6021	Solve Using an Inverse Matrix	-x+5y=1 , -5x+25y=5	$- x + 5 y = 1$ , $- 5 x + 25 y = 5$
6022	Solve Using an Inverse Matrix	x+5y=10 , 3x+y=16	$x + 5 y = 10$ , $3 x + y = 16$
6023	Solve Using an Inverse Matrix	x+5y=23 , 2x-y=2	$x + 5 y = 23$ , $2 x - y = 2$
6024	Solve Using an Inverse Matrix	x+5y=27 , -2x-3y=-19	$x + 5 y = 27$ , $- 2 x - 3 y = - 19$
6025	Solve Using an Inverse Matrix	x+5y=35 , x-y=-1	$x + 5 y = 35$ , $x - y = - 1$
6026	Solve Using an Inverse Matrix	x+5y=3y+4 , 2x=3+6y	$x + 5 y = 3 y + 4$ , $2 x = 3 + 6 y$
6027	Solve Using an Inverse Matrix	x+5y=-7 , -7x-3y=-15	$x + 5 y = - 7$ , $- 7 x - 3 y = - 15$
6028	Solve Using an Inverse Matrix	x+7y=24 , x-9y=-24	$x + 7 y = 24$ , $x - 9 y = - 24$
6029	Solve Using an Inverse Matrix	x+8y=20 , 2x+8y=24	$x + 8 y = 20$ , $2 x + 8 y = 24$
6030	Solve Using an Inverse Matrix	x+8y=29 , 4x+5y=8	$x + 8 y = 29$ , $4 x + 5 y = 8$
6031	Solve Using an Inverse Matrix	-x+8y=-35 , -x-9y=50	$- x + 8 y = - 35$ , $- x - 9 y = 50$
6032	Solve Using an Inverse Matrix	x+8y=48 , 3x-4y=4	$x + 8 y = 48$ , $3 x - 4 y = 4$
6033	Solve Using an Inverse Matrix	x+9y=8 , 2x+2y=-1	$x + 9 y = 8$ , $2 x + 2 y = - 1$
6034	Solve Using an Inverse Matrix	x+9y=83 , -x+2y=16	$x + 9 y = 83$ , $- x + 2 y = 16$
6035	Solve Using an Inverse Matrix	x+9y-z=24 , x+z=0 , 2x-y-z=7	$x + 9 y - z = 24$ , $x + z = 0$ , $2 x - y - z = 7$
6036	Solve Using an Inverse Matrix	x+y+3z=-15 , x+y+5z=-25 , x+7y+5z=-7	$x + y + 3 z = - 15$ , $x + y + 5 z = - 25$ , $x + 7 y + 5 z = - 7$
6037	Solve Using an Inverse Matrix	-x+y+5z=1 , 4x+y=1 , -3x-2y=8	$- x + y + 5 z = 1$ , $4 x + y = 1$ , $- 3 x - 2 y = 8$
6038	Solve Using an Inverse Matrix	x+y+5z=-7 , x+y+6z=-10 , x+8y-7z=50	$x + y + 5 z = - 7$ , $x + y + 6 z = - 10$ , $x + 8 y - 7 z = 50$
6039	Solve Using an Inverse Matrix	x+y+7z=35 , x+y+3z=15 , x-3y-9z=-57	$x + y + 7 z = 35$ , $x + y + 3 z = 15$ , $x - 3 y - 9 z = - 57$
6040	Solve Using an Inverse Matrix	x+y+y=9 , 2.45x+1.85y+0.8z=15 , x+y=2z	$x + y + y = 9$ , $2.45 x + 1.85 y + 0.8 z = 15$ , $x + y = 2 z$
6041	Solve Using an Inverse Matrix	x+y+z+w=6 , -3x+4y+z+2w=4 , x+2y-z+w=0 , 2x+3y-w=0	$x + y + z + w = 6$ , $- 3 x + 4 y + z + 2 w = 4$ , $x + 2 y - z + w = 0$ , $2 x + 3 y - w = 0$
6042	Solve Using an Inverse Matrix	x+y+z=(16) , 2x-y+z=20 , 3x-z=9	$x + y + z = (16)$ , $2 x - y + z = 20$ , $3 x - z = 9$
6043	Solve Using an Inverse Matrix	-x+y+z=0 , 12-250y+680z=0 , 10-100x-680z=0	$- x + y + z = 0$ , $12 - 250 y + 680 z = 0$ , $10 - 100 x - 680 z = 0$
6044	Solve Using an Inverse Matrix	x+y+z=0 , 3x-y+z=-16 , -x+5y-z=-6	$x + y + z = 0$ , $3 x - y + z = - 16$ , $- x + 5 y - z = - 6$
6045	Solve Using an Inverse Matrix	x+y+z=0 , y-3z=7 , 2x+y+5z=-2	$x + y + z = 0$ , $y - 3 z = 7$ , $2 x + y + 5 z = - 2$
6046	Solve Using an Inverse Matrix	x+y+z=1 , 3x-2y+4z=13 , x+5y-3z=-10	$x + y + z = 1$ , $3 x - 2 y + 4 z = 13$ , $x + 5 y - 3 z = - 10$
6047	Solve Using an Inverse Matrix	-x+y+z=-1 , -x+3y-3z=-13 , 6x-5y-8z=0	$- x + y + z = - 1$ , $- x + 3 y - 3 z = - 13$ , $6 x - 5 y - 8 z = 0$
6048	Solve Using an Inverse Matrix	-x+y+z=-1 , -x+3y-5z=-9 , 4x-3y-7z=0	$- x + y + z = - 1$ , $- x + 3 y - 5 z = - 9$ , $4 x - 3 y - 7 z = 0$
6049	Solve Using an Inverse Matrix	-x+y+z=-1 , -x+3y-9z=-15 , 7x-6y-12z=0	$- x + y + z = - 1$ , $- x + 3 y - 9 z = - 15$ , $7 x - 6 y - 12 z = 0$
6050	Solve Using an Inverse Matrix	x+y+z=100 , 0.07x+0.08y+0.09z=153 , -y+z=1900	$x + y + z = 100$ , $0.07 x + 0.08 y + 0.09 z = 153$ , $- y + z = 1900$
6051	Solve Using an Inverse Matrix	x+y+z=102 , 2x+3y+4z=303 , 11x+17y+23z=1716	$x + y + z = 102$ , $2 x + 3 y + 4 z = 303$ , $11 x + 17 y + 23 z = 1716$
6052	Solve Using an Inverse Matrix	s-t=2 , s-3t=-4	$s - t = 2$ , $s - 3 t = - 4$
6053	Solve Using an Inverse Matrix	u=v , 4u=2v-8	$u = v$ , $4 u = 2 v - 8$
6054	Solve Using an Inverse Matrix	w+x+y+z=6 , 2w+6x-2y+2z=-28 , w+2y-3z=12 , 2w+6x+3y+z=1	$w + x + y + z = 6$ , $2 w + 6 x - 2 y + 2 z = - 28$ , $w + 2 y - 3 z = 12$ , $2 w + 6 x + 3 y + z = 1$
6055	Solve Using an Inverse Matrix	w+x-y-z=15 , 4w+5x-y-z=38 , 3w+x-y-z=25 , -w+3x+3y+2z=-19	$w + x - y - z = 15$ , $4 w + 5 x - y - z = 38$ , $3 w + x - y - z = 25$ , $- w + 3 x + 3 y + 2 z = - 19$
6056	Solve Using an Inverse Matrix	-x+1/4y=-2 , 4x-y=8	$- x + \frac{1}{4} y = - 2$ , $4 x - y = 8$
6057	Solve Using an Inverse Matrix	a+2b+3d=5 , 2a+5b+3d=3 , a+8d=17	$a + 2 b + 3 d = 5$ , $2 a + 5 b + 3 d = 3$ , $a + 8 d = 17$
6058	Solve Using an Inverse Matrix	a+2b-3d=6 , 2a-b+4d=1 , a-b+d=3	$a + 2 b - 3 d = 6$ , $2 a - b + 4 d = 1$ , $a - b + d = 3$
6059	Solve Using an Inverse Matrix	a+2b-9d=0 , 2a+b-9d=0 , -a+b=0	$a + 2 b - 9 d = 0$ , $2 a + b - 9 d = 0$ , $- a + b = 0$
6060	Solve Using an Inverse Matrix	a+3b+d=-2 , 2a+5b+d=-5 , a+2b+3d=6	$a + 3 b + d = - 2$ , $2 a + 5 b + d = - 5$ , $a + 2 b + 3 d = 6$
6061	Solve Using an Inverse Matrix	a+3b=2 , 3a+9b=6	$a + 3 b = 2$ , $3 a + 9 b = 6$
6062	Solve Using an Inverse Matrix	a+b=2 , 4a+5b=8	$a + b = 2$ , $4 a + 5 b = 8$
6063	Solve Using an Inverse Matrix	a-2b+2d=1 , -3a-b+d=4 , a+5b-12d=8	$a - 2 b + 2 d = 1$ , $- 3 a - b + d = 4$ , $a + 5 b - 12 d = 8$
6064	Solve Using an Inverse Matrix	a-2b+2d=5 , a-b=-1 , -a+b+d=5	$a - 2 b + 2 d = 5$ , $a - b = - 1$ , $- a + b + d = 5$
6065	Solve Using an Inverse Matrix	b-d=7 , a+d=2 , 3a+2b=-5	$b - d = 7$ , $a + d = 2$ , $3 a + 2 b = - 5$
6066	Solve Using an Inverse Matrix	x-1/4y=3 , -x+6/7y=-72/7	$x - \frac{1}{4} y = 3$ , $- x + \frac{6}{7} y = - \frac{72}{7}$
6067	Solve Using an Inverse Matrix	x-13/3y-3z=-25/4 , 3x-13y-9z=-75/4 , -4x+52/3y+12z=25	$x - \frac{13}{3} y - 3 z = - \frac{25}{4}$ , $3 x - 13 y - 9 z = - \frac{75}{4}$ , $- 4 x + \frac{52}{3} y + 12 z = 25$
6068	Solve Using an Inverse Matrix	x+2/3y=-12 , 3x+2y=-12	$x + \frac{2}{3} y = - 12$ , $3 x + 2 y = - 12$
6069	Solve Using an Inverse Matrix	-x+2/9y=1 , 9x+3y=6	$- x + \frac{2}{9} y = 1$ , $9 x + 3 y = 6$
6070	Solve Using an Inverse Matrix	-x+10y=1 , -5x+15y=-9	$- x + 10 y = 1$ , $- 5 x + 15 y = - 9$
6071	Solve Using an Inverse Matrix	x+16=9 , 1/4x+4=8	$x + 16 = 9$ , $\frac{1}{4} x + 4 = 8$
6072	Solve Using an Inverse Matrix	x+2=1 , y-2=5	$x + 2 = 1$ , $y - 2 = 5$
6073	Solve Using an Inverse Matrix	-x+2y+6=0 , x-2y=-6	$- x + 2 y + 6 = 0$ , $x - 2 y = - 6$
6074	Solve Using an Inverse Matrix	-x+2y+6=0 , x-2y=6	$- x + 2 y + 6 = 0$ , $x - 2 y = 6$
6075	Solve Using an Inverse Matrix	x+2y=0 , 3x+7y=1	$x + 2 y = 0$ , $3 x + 7 y = 1$
6076	Solve Using an Inverse Matrix	x+2y=0 , x+5y=3	$x + 2 y = 0$ , $x + 5 y = 3$
6077	Solve Using an Inverse Matrix	x+2y=0 , x+y=6 , 3x-2y=8	$x + 2 y = 0$ , $x + y = 6$ , $3 x - 2 y = 8$
6078	Solve Using an Inverse Matrix	x+2y=-1 , 2x+3y=-4	$x + 2 y = - 1$ , $2 x + 3 y = - 4$
6079	Solve Using an Inverse Matrix	(3x+y)=12 , (2x-y)=3	$(3 x + y) = 12$ , $(2 x - y) = 3$
6080	Solve Using an Inverse Matrix	(3x-y+z)=22 , (4x+5y-z)=1 , (-2x-3y+2z)=7	$(3 x - y + z) = 22$ , $(4 x + 5 y - z) = 1$ , $(- 2 x - 3 y + 2 z) = 7$
6081	Solve Using an Inverse Matrix	(-5x+y)=-5 , (6x-2y)=10	$(- 5 x + y) = - 5$ , $(6 x - 2 y) = 10$
6082	Solve Using an Inverse Matrix	(7y+x)=0 , (y)=11x	$(7 y + x) = 0$ , $(y) = 11 x$
6083	Solve Using an Inverse Matrix	(8x-y+2z)=-9 , (x+2y-z)=4 , (2x+2y-3z)=1	$(8 x - y + 2 z) = - 9$ , $(x + 2 y - z) = 4$ , $(2 x + 2 y - 3 z) = 1$
6084	Solve Using an Inverse Matrix	(x)=(32)(1) , (y)=(43)(-1)	$(x) = (32) (1)$ , $(y) = (43) (- 1)$
6085	Solve Using an Inverse Matrix	(x+2y)=8 , (x-y)=2	$(x + 2 y) = 8$ , $(x - y) = 2$
6086	Solve Using an Inverse Matrix	(x+3y)=-3 , (2x+y)=4	$(x + 3 y) = - 3$ , $(2 x + y) = 4$
6087	Solve Using an Inverse Matrix	(x+4y)=1 , (x-y)=1	$(x + 4 y) = 1$ , $(x - y) = 1$
6088	Solve Using an Inverse Matrix	(x+5y)=9 , (-2x+7y)=16	$(x + 5 y) = 9$ , $(- 2 x + 7 y) = 16$
6089	Solve Using an Inverse Matrix	(x+y)=-1 , (x-2y)=-10	$(x + y) = - 1$ , $(x - 2 y) = - 10$
6090	Solve Using an Inverse Matrix	(x+y+6z)=4 , (x+y+3z)=4 , (x+2y+4z)=9	$(x + y + 6 z) = 4$ , $(x + y + 3 z) = 4$ , $(x + 2 y + 4 z) = 9$
6091	Solve Using an Inverse Matrix	(x-y)=4 , (3x-2y)=13	$(x - y) = 4$ , $(3 x - 2 y) = 13$
6092	Solve Using an Inverse Matrix	-7x-6y=24 , -3x-7y=-3	$- 7 x - 6 y = 24$ , $- 3 x - 7 y = - 3$
6093	Solve Using an Inverse Matrix	-7x-6y=-4 , -5x+y=8	$- 7 x - 6 y = - 4$ , $- 5 x + y = 8$
6094	Solve Using an Inverse Matrix	-7x-9y=-2 , -9x+4y=13	$- 7 x - 9 y = - 2$ , $- 9 x + 4 y = 13$
6095	Solve Using an Inverse Matrix	7x-y+2z=12 , 8y+5z=-47 , 6x+3y+5z=-15	$7 x - y + 2 z = 12$ , $8 y + 5 z = - 47$ , $6 x + 3 y + 5 z = - 15$
6096	Solve Using an Inverse Matrix	7x-y=7 , y=-6x+6	$7 x - y = 7$ , $y = - 6 x + 6$
6097	Solve Using an Inverse Matrix	8(x-5)-7y=0 , 7(x-y)=-x-5	$8 (x - 5) - 7 y = 0$ , $7 (x - y) = - x - 5$
6098	Solve Using an Inverse Matrix	800+30x=y , 1240-25x=y	$800 + 30 x = y$ , $1240 - 25 x = y$
6099	Solve Using an Inverse Matrix	8m-2n=-16 , 2m-0.5n=-4	$8 m - 2 n = - 16$ , $2 m - 0.5 n = - 4$
6100	Solve Using an Inverse Matrix	8x+13y=312.6 , 10x+15y=369	$8 x + 13 y = 312.6$ , $10 x + 15 y = 369$