Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5201	Find the Cardinality	(3,15)	$(3, 15)$
5202	Find the Cardinality	(3,2)	$(3, 2)$
5203	Find the Cardinality	(-3,2)	$(- 3, 2)$
5204	Find the Cardinality	(3,3)	$(3, 3)$
5205	Find the Cardinality	(0,6)	$(0, 6)$
5206	Find the Cardinality	(0,95.25)	$(0, 95.25) (7.25)$
5207	Find the Cardinality	(0.3,1.5)	$(0.3, 1.5)$
5208	Find the Cardinality	(1,-1)	$(1, - 1)$
5209	Find the Cardinality	(-1,4)	$(- 1, 4)$
5210	Find the Cardinality	(1,6)	$(1, 6)$
5211	Find the Cardinality	(-10,0)	$(- 10, 0)$
5212	Find the Cardinality	(-10,-5)	$(- 10, - 5)$
5213	Find the Cardinality	(12,9)	$(12, 9)$
5214	Find the Cardinality	(-13,4)	$(- 13, 4)$
5215	Find the Cardinality	(0,3)	$(0, 3)$
5216	Find the Cardinality	{0,1,4}	${0, 1, 4}$
5217	Find the Cardinality	{1,-2}	${1, - 2}$
5218	Find the Cardinality	{1,2}	${1, 2}$
5219	Find the Cardinality	{12,36}	${12, 36}$
5220	Find the Cardinality	{13,15,17,19}	${13, 15, 17, 19}$
5221	Find the Cardinality	{18,1,17}	${18, 1, 17}$
5222	Find the Cardinality	{2,4,6,8}	${2, 4, 6, 8}$
5223	Find the Cardinality	(-2,10)	$(- 2, 10)$
5224	Find the Cardinality	(-2,14)	$(- 2, 14)$
5225	Find the Cardinality	(-2,2)	$(- 2, 2)$
5226	Solve Using an Inverse Matrix	-6=3x-6y , 4x=4+5y	$- 6 = 3 x - 6 y$ , $4 x = 4 + 5 y$
5227	Solve Using an Inverse Matrix	6m-8n=3 , 2m-8n=-3	$6 m - 8 n = 3$ , $2 m - 8 n = - 3$
5228	Solve Using an Inverse Matrix	6s+9t=12 , 4s+6t=5	$6 s + 9 t = 12$ , $4 s + 6 t = 5$
5229	Solve Using an Inverse Matrix	6x+2y=4 , 10x+7y=-8	$6 x + 2 y = 4$ , $10 x + 7 y = - 8$
5230	Solve Using an Inverse Matrix	6x+2y=9 , -3x=y+6	$6 x + 2 y = 9$ , $- 3 x = y + 6$
5231	Solve Using an Inverse Matrix	-6x+3y=-3 , y=x+3	$- 6 x + 3 y = - 3$ , $y = x + 3$
5232	Solve Using an Inverse Matrix	6x+3y=9 , y=-2x+5	$6 x + 3 y = 9$ , $y = - 2 x + 5$
5233	Solve Using an Inverse Matrix	6x+4y=-18 , 4x-4y=8	$6 x + 4 y = - 18$ , $4 x - 4 y = 8$
5234	Solve Using an Inverse Matrix	-6x+4y=8 , 5x-3y=-5	$- 6 x + 4 y = 8$ , $5 x - 3 y = - 5$
5235	Solve Using an Inverse Matrix	6x+7y=17 , 3x+y=-4	$6 x + 7 y = 17$ , $3 x + y = - 4$
5236	Solve Using an Inverse Matrix	6x+8y=20 , y=x+6	$6 x + 8 y = 20$ , $y = x + 6$
5237	Solve Using an Inverse Matrix	6x-2y=13 , 2x+3y=-3	$6 x - 2 y = 13$ , $2 x + 3 y = - 3$
5238	Solve Using an Inverse Matrix	6x-3y=6 , y=2x+5	$6 x - 3 y = 6$ , $y = 2 x + 5$
5239	Solve Using an Inverse Matrix	6x-7y=9 , y=x-2	$6 x - 7 y = 9$ , $y = x - 2$
5240	Solve Using an Inverse Matrix	6x-y+3z=12 , x+3y-z=10 , 3x+3y-4z=11	$6 x - y + 3 z = 12$ , $x + 3 y - z = 10$ , $3 x + 3 y - 4 z = 11$
5241	Solve Using an Inverse Matrix	6x-y=24 , x+y=11	$6 x - y = 24$ , $x + y = 11$
5242	Solve Using an Inverse Matrix	6x-y=7 , 6x-y=1	$6 x - y = 7$ , $6 x - y = 1$
5243	Solve Using an Inverse Matrix	7x+3y=15 , y=8-2x	$7 x + 3 y = 15$ , $y = 8 - 2 x$
5244	Solve Using an Inverse Matrix	7x+3y=9 , 4x+4y=-4	$7 x + 3 y = 9$ , $4 x + 4 y = - 4$
5245	Solve Using an Inverse Matrix	-7x+4y=-6 , 2x-5y=21	$- 7 x + 4 y = - 6$ , $2 x - 5 y = 21$
5246	Solve Using an Inverse Matrix	7x+9y=19.9 , 9x+4y=10	$7 x + 9 y = 19.9$ , $9 x + 4 y = 10$
5247	Solve Using an Inverse Matrix	7x=14-14y , 6x+2y=4	$7 x = 14 - 14 y$ , $6 x + 2 y = 4$
5248	Solve Using an Inverse Matrix	7x=-5y+15 , 3x=-6y-9	$7 x = - 5 y + 15$ , $3 x = - 6 y - 9$
5249	Solve Using an Inverse Matrix	7x-2y=4 , 5y+3x=10	$7 x - 2 y = 4$ , $5 y + 3 x = 10$
5250	Solve Using an Inverse Matrix	-7x-3y=7 , 5x+4y=-5	$- 7 x - 3 y = 7$ , $5 x + 4 y = - 5$
5251	Solve Using an Inverse Matrix	7x-5y=4 , -3x+4y=2	$7 x - 5 y = 4$ , $- 3 x + 4 y = 2$
5252	Solve Using an Inverse Matrix	7x-y=-1 , -4x-2y=-2	$7 x - y = - 1$ , $- 4 x - 2 y = - 2$
5253	Solve Using an Inverse Matrix	7x-y=-10 , y=1/7x+15	$7 x - y = - 10$ , $y = \frac{1}{7} x + 15$
5254	Solve Using an Inverse Matrix	8x+4y-2z=-4 , 8x+3y+11z=0 , -10-4y-4z=-4	$8 x + 4 y - 2 z = - 4$ , $8 x + 3 y + 11 z = 0$ , $- 10 - 4 y - 4 z = - 4$
5255	Solve Using an Inverse Matrix	8x+5y=9 , 3x+2y=4	$8 x + 5 y = 9$ , $3 x + 2 y = 4$
5256	Solve Using an Inverse Matrix	8x-14y=5 , x=3y	$8 x - 14 y = 5$ , $x = 3 y$
5257	Solve Using an Inverse Matrix	-8x-3y=0 , -3x-2y=-7	$- 8 x - 3 y = 0$ , $- 3 x - 2 y = - 7$
5258	Solve Using an Inverse Matrix	9x+2y=30 , 3x-4y=24	$9 x + 2 y = 30$ , $3 x - 4 y = 24$
5259	Solve Using an Inverse Matrix	9x+6y=78 , 3x-6y=-30	$9 x + 6 y = 78$ , $3 x - 6 y = - 30$
5260	Solve Using an Inverse Matrix	9x-2y=-18 , -3x-4y=6	$9 x - 2 y = - 18$ , $- 3 x - 4 y = 6$
5261	Solve Using an Inverse Matrix	9x-3y=12 , y=3x-4	$9 x - 3 y = 12$ , $y = 3 x - 4$
5262	Solve Using an Inverse Matrix	9x-8y=5 , -3x-9y=9	$9 x - 8 y = 5$ , $- 3 x - 9 y = 9$
5263	Solve Using an Inverse Matrix	a*1=5000.00 , i=0.12 , n=10	$a \cdot 1 = 5000$ , $i = 0.12$ , $n = 10$
5264	Solve Using an Inverse Matrix	a+8b=16 , a+4b=4	$a + 8 b = 16$ , $a + 4 b = 4$
5265	Solve Using an Inverse Matrix	c=200+0.75n , c=1.25n	$c = 200 + 0.75 n$ , $c = 1.25 n$
5266	Solve Using an Inverse Matrix	Q=2p-40 , Q=200-p	$Q = 2 p - 40$ , $Q = 200 - p$
5267	Solve Using an Inverse Matrix	Q=6009-25P , P=6009/25-1/25Q	$Q = 6009 - 25 P$ , $P = \frac{6009}{25} - \frac{1}{25} Q$
5268	Solve Using an Inverse Matrix	r+p=290 , 2.10r+2.70p=669	$r + p = 290$ , $2.1 r + 2.7 p = 669$
5269	Solve Using an Inverse Matrix	r+s=-12 , 2r-3s=6	$r + s = - 12$ , $2 r - 3 s = 6$
5270	Solve Using an Inverse Matrix	s=r-1 , 2r+s=-11	$s = r - 1$ , $2 r + s = - 11$
5271	Solve Using an Inverse Matrix	u-2v=10 , u=-3v+15	$u - 2 v = 10$ , $u = - 3 v + 15$
5272	Solve Using an Inverse Matrix	x+y=6 , y-x=6	$x + y = 6$ , $y - x = 6$
5273	Solve Using an Inverse Matrix	a+b+d=5 , 2a+2b+4d=20 , 7a-3b-2d=0	$a + b + d = 5$ , $2 a + 2 b + 4 d = 20$ , $7 a - 3 b - 2 d = 0$
5274	Solve Using an Inverse Matrix	-x+2y+6z=2 , 3x+2y+6z=6 , x+4y-2z=14	$- x + 2 y + 6 z = 2$ , $3 x + 2 y + 6 z = 6$ , $x + 4 y - 2 z = 14$
5275	Solve Using an Inverse Matrix	x+2y+z=14 , y+z=2 , x+2y+2z=11	$x + 2 y + z = 14$ , $y + z = 2$ , $x + 2 y + 2 z = 11$
5276	Solve Using an Inverse Matrix	4x+4y-2z=-2 , 4x+5y+5z=29 , x+y-z=-3	$4 x + 4 y - 2 z = - 2$ , $4 x + 5 y + 5 z = 29$ , $x + y - z = - 3$
5277	Solve Using an Inverse Matrix	4x+7y=-16 , 6x-7=-24	$4 x + 7 y = - 16$ , $6 x - 7 = - 24$
5278	Solve Using an Inverse Matrix	4x+7y-z=22 , 5x+9y-z=11 , 6x+10y-z=20	$4 x + 7 y - z = 22$ , $5 x + 9 y - z = 11$ , $6 x + 10 y - z = 20$
5279	Solve Using an Inverse Matrix	-4x+9y=13 , -5x-7y=-2	$- 4 x + 9 y = 13$ , $- 5 x - 7 y = - 2$
5280	Solve Using an Inverse Matrix	-4x+9y=9 , x-3y=-6	$- 4 x + 9 y = 9$ , $x - 3 y = - 6$
5281	Solve Using an Inverse Matrix	4x+y+4z=1 , 5x-y+3z=2 , x-2y-z=0	$4 x + y + 4 z = 1$ , $5 x - y + 3 z = 2$ , $x - 2 y - z = 0$
5282	Solve Using an Inverse Matrix	4x+y=0 , x+2y=-7	$4 x + y = 0$ , $x + 2 y = - 7$
5283	Solve Using an Inverse Matrix	-4x+y=6 , -5x-y=21	$- 4 x + y = 6$ , $- 5 x - y = 21$
5284	Solve Using an Inverse Matrix	4x=2+2y , -6/5x+y=43/5	$4 x = 2 + 2 y$ , $- \frac{6}{5} x + y = \frac{43}{5}$
5285	Solve Using an Inverse Matrix	4x-10y=18 , -2x+5y=-9	$4 x - 10 y = 18$ , $- 2 x + 5 y = - 9$
5286	Solve Using an Inverse Matrix	4x-18+7y=0 , -6y+3x+10=0	$4 x - 18 + 7 y = 0$ , $- 6 y + 3 x + 10 = 0$
5287	Solve Using an Inverse Matrix	4a-2y=4 , a+2y=1	$4 a - 2 y = 4$ , $a + 2 y = 1$
5288	Solve Using an Inverse Matrix	4x-2y=8 , 2x-y=7	$4 x - 2 y = 8$ , $2 x - y = 7$
5289	Solve Using an Inverse Matrix	4x-3y=-13 , -3x+2y=9	$4 x - 3 y = - 13$ , $- 3 x + 2 y = 9$
5290	Solve Using an Inverse Matrix	4x-3y=33 , x=-4y-25	$4 x - 3 y = 33$ , $x = - 4 y - 25$
5291	Solve Using an Inverse Matrix	4x-5y=14 , y=x-3	$4 x - 5 y = 14$ , $y = x - 3$
5292	Solve Using an Inverse Matrix	4x-6y=11 , 3x+y=0	$4 x - 6 y = 11$ , $3 x + y = 0$
5293	Solve Using an Inverse Matrix	4x-y=2 , 5x-2y=-2	$4 x - y = 2$ , $5 x - 2 y = - 2$
5294	Solve Using an Inverse Matrix	4x-y=-6 , -8x+2y=-20	$4 x - y = - 6$ , $- 8 x + 2 y = - 20$
5295	Solve Using an Inverse Matrix	4y-2x=8 , y=(3x-4)/2	$4 y - 2 x = 8$ , $y = \frac{3 x - 4}{2}$
5296	Solve Using an Inverse Matrix	50x+32y=3500 , 50(0)+32y=3500	$50 x + 32 y = 3500$ , $50 (0) + 32 y = 3500$
5297	Solve Using an Inverse Matrix	5a+6b=8 , 2a-15b=9	$5 a + 6 b = 8$ , $2 a - 15 b = 9$
5298	Solve Using an Inverse Matrix	-5x+2y+z=-6 , -x+5y+3z=12 , -2x-2y+z=0	$- 5 x + 2 y + z = - 6$ , $- x + 5 y + 3 z = 12$ , $- 2 x - 2 y + z = 0$
5299	Solve Using an Inverse Matrix	5x+2y=(-18) , 3x+4y=12	$5 x + 2 y = (- 18)$ , $3 x + 4 y = 12$
5300	Solve Using an Inverse Matrix	5x+2y=11 , x+8y=13	$5 x + 2 y = 11$ , $x + 8 y = 13$