Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
27501	Solve Using a Matrix with Cramer's Rule	5x=2y+2 , 2x=12-2y	$5 x = 2 y + 2$ , $2 x = 12 - 2 y$
27502	Solve Using a Matrix with Cramer's Rule	5x=4y+12 , 6x=30-3y	$5 x = 4 y + 12$ , $6 x = 30 - 3 y$
27503	Solve Using a Matrix with Cramer's Rule	5x-2y+z=0 , x+y=0 , -20x+8y-4z=0	$5 x - 2 y + z = 0$ , $x + y = 0$ , $- 20 x + 8 y - 4 z = 0$
27504	Solve Using a Matrix with Cramer's Rule	5x-2y=14 , -3x+y=-7	$5 x - 2 y = 14$ , $- 3 x + y = - 7$
27505	Solve Using a Matrix with Cramer's Rule	5x-2y=20 , 6x+3y=21	$5 x - 2 y = 20$ , $6 x + 3 y = 21$
27506	Solve Using a Matrix with Cramer's Rule	5x-2y=6 , -11x+3y=-23	$5 x - 2 y = 6$ , $- 11 x + 3 y = - 23$
27507	Solve Using a Matrix with Cramer's Rule	5x-2y-z=0 , x+y=5 , 2x-3z=4	$5 x - 2 y - z = 0$ , $x + y = 5$ , $2 x - 3 z = 4$
27508	Solve Using a Matrix with Cramer's Rule	-5x-3y=3 , 10x+6y=-3	$- 5 x - 3 y = 3$ , $10 x + 6 y = - 3$
27509	Solve Using a Matrix with Cramer's Rule	5x-3y=3 , 10x-6y=2	$5 x - 3 y = 3$ , $10 x - 6 y = 2$
27510	Solve Using a Matrix with Cramer's Rule	5x-3y=3 , 7x+4y=37	$5 x - 3 y = 3$ , $7 x + 4 y = 37$
27511	Solve Using a Matrix with Cramer's Rule	5x-3y=37 , 6x+y=26	$5 x - 3 y = 37$ , $6 x + y = 26$
27512	Solve Using a Matrix with Cramer's Rule	5x-4y+2z=21 , -x-5y+6z=-24 , -x-4y+5z=-21	$5 x - 4 y + 2 z = 21$ , $- x - 5 y + 6 z = - 24$ , $- x - 4 y + 5 z = - 21$
27513	Solve Using a Matrix with Cramer's Rule	5x-4y+2z=5 , 15x-12y+6z=16 , 2x-5y-4z=4	$5 x - 4 y + 2 z = 5$ , $15 x - 12 y + 6 z = 16$ , $2 x - 5 y - 4 z = 4$
27514	Solve Using a Matrix with Cramer's Rule	5x-4y+z=12 , 4x+3y+4z=-12 , 5x-y+z=0	$5 x - 4 y + z = 12$ , $4 x + 3 y + 4 z = - 12$ , $5 x - y + z = 0$
27515	Solve Using a Matrix with Cramer's Rule	5x-4y=23 , 5x+3y=9	$5 x - 4 y = 23$ , $5 x + 3 y = 9$
27516	Solve Using a Matrix with Cramer's Rule	5x-4y=3 , 4x+2y=18	$5 x - 4 y = 3$ , $4 x + 2 y = 18$
27517	Solve Using a Matrix with Cramer's Rule	5x-4y=8 , 8x-5y=5	$5 x - 4 y = 8$ , $8 x - 5 y = 5$
27518	Solve Using a Matrix with Cramer's Rule	5x-4y=96 , 8x-9y=177	$5 x - 4 y = 96$ , $8 x - 9 y = 177$
27519	Solve Using a Matrix with Cramer's Rule	5x-4y-6z=-3 , x-3y+z=-1 , -3x-6y+7z=1	$5 x - 4 y - 6 z = - 3$ , $x - 3 y + z = - 1$ , $- 3 x - 6 y + 7 z = 1$
27520	Solve Using a Matrix with Cramer's Rule	5x-5y+7z=-5 , 10x-10y+14z=-12 , -10x+10y-14z=12	$5 x - 5 y + 7 z = - 5$ , $10 x - 10 y + 14 z = - 12$ , $- 10 x + 10 y - 14 z = 12$
27521	Solve Using a Matrix with Cramer's Rule	5x-5y=8 , 2x+5y=6	$5 x - 5 y = 8$ , $2 x + 5 y = 6$
27522	Solve Using a Matrix with Cramer's Rule	5x-6y=3 , 6x+2y=22	$5 x - 6 y = 3$ , $6 x + 2 y = 22$
27523	Solve Using a Matrix with Cramer's Rule	5x-6z=-9 , 4x+4y+7z=68 , 6x-9y=-45	$5 x - 6 z = - 9$ , $4 x + 4 y + 7 z = 68$ , $6 x - 9 y = - 45$
27524	Solve Using a Matrix with Cramer's Rule	5x-9y=7 , -8x+10=2	$5 x - 9 y = 7$ , $- 8 x + 10 = 2$
27525	Solve Using a Matrix with Cramer's Rule	-5x-9y=-9 , 7x-8y=-3	$- 5 x - 9 y = - 9$ , $7 x - 8 y = - 3$
27526	Solve Using a Matrix with Cramer's Rule	5x-y+4z=2 , -x+5y-4z=3 , 7x+13y-4z=15	$5 x - y + 4 z = 2$ , $- x + 5 y - 4 z = 3$ , $7 x + 13 y - 4 z = 15$
27527	Solve Using a Matrix with Cramer's Rule	60=5q+20 , 60=-4q+128	$60 = 5 q + 20$ , $60 = - 4 q + 128$
27528	Solve Using a Matrix with Cramer's Rule	6a+b=-2 , 5a+6b=-2	$6 a + b = - 2$ , $5 a + 6 b = - 2$
27529	Solve Using a Matrix with Cramer's Rule	6L+7W-15H=6 , 3L-5W-3H=-3 , 2L+W+7H=2	$6 L + 7 W - 15 H = 6$ , $3 L - 5 W - 3 H = - 3$ , $2 L + W + 7 H = 2$
27530	Solve Using a Matrix with Cramer's Rule	6m-2n=24 , -3m+2n=-18	$6 m - 2 n = 24$ , $- 3 m + 2 n = - 18$
27531	Solve Using a Matrix with Cramer's Rule	6x+12y=33 , 4x+7y=20	$6 x + 12 y = 33$ , $4 x + 7 y = 20$
27532	Solve Using a Matrix with Cramer's Rule	6x+14y=37 , 4x+7y=20	$6 x + 14 y = 37$ , $4 x + 7 y = 20$
27533	Solve Using a Matrix with Cramer's Rule	6x+2y=0 , 5x+y=-4	$6 x + 2 y = 0$ , $5 x + y = - 4$
27534	Solve Using a Matrix with Cramer's Rule	6x+2y=46 , 24x+8y=17	$6 x + 2 y = 46$ , $24 x + 8 y = 17$
27535	Solve Using a Matrix with Cramer's Rule	-6x+3y=-21 , 20x+15y=45	$- 6 x + 3 y = - 21$ , $20 x + 15 y = 45$
27536	Solve Using a Matrix with Cramer's Rule	-6x+3y=30 , -4x+2y=20	$- 6 x + 3 y = 30$ , $- 4 x + 2 y = 20$
27537	Solve Using a Matrix with Cramer's Rule	6x+3y=39 , 5x-4y=0	$6 x + 3 y = 39$ , $5 x - 4 y = 0$
27538	Solve Using a Matrix with Cramer's Rule	6x+5y+5z=-12 , -6x+6y+2z=0 , 3x+6y+3z=-15	$6 x + 5 y + 5 z = - 12$ , $- 6 x + 6 y + 2 z = 0$ , $3 x + 6 y + 3 z = - 15$
27539	Solve Using a Matrix with Cramer's Rule	6x+5y=37 , 5x+15y=33	$6 x + 5 y = 37$ , $5 x + 15 y = 33$
27540	Solve Using a Matrix with Cramer's Rule	-6x+6y=-36 , -12x+12y=19	$- 6 x + 6 y = - 36$ , $- 12 x + 12 y = 19$
27541	Solve Using a Matrix with Cramer's Rule	6x+6y-3z=24 , x+4y+2z=5 , 3x-2y+z=17	$6 x + 6 y - 3 z = 24$ , $x + 4 y + 2 z = 5$ , $3 x - 2 y + z = 17$
27542	Solve Using a Matrix with Cramer's Rule	6x+9y=3 , 3x-y=-1	$6 x + 9 y = 3$ , $3 x - y = - 1$
27543	Solve Using a Matrix with Cramer's Rule	-6x+y+4z=-10 , -12x+6z=-28 , -x+10y-10z=24	$- 6 x + y + 4 z = - 10$ , $- 12 x + 6 z = - 28$ , $- x + 10 y - 10 z = 24$
27544	Solve Using a Matrix with Cramer's Rule	6x=18 , 3x+3y=0	$6 x = 18$ , $3 x + 3 y = 0$
27545	Solve Using a Matrix with Cramer's Rule	6x-3y+x=22 , 7y-3z=-24 , 6x+10y=-18	$6 x - 3 y + x = 22$ , $7 y - 3 z = - 24$ , $6 x + 10 y = - 18$
27546	Solve Using a Matrix with Cramer's Rule	6x-3y=-3 , 8x-4y=-4	$6 x - 3 y = - 3$ , $8 x - 4 y = - 4$
27547	Solve Using a Matrix with Cramer's Rule	6x-3y=-6 , -4x+y=-10	$6 x - 3 y = - 6$ , $- 4 x + y = - 10$
27548	Solve Using a Matrix with Cramer's Rule	3x-4y=1 , -6x+8y=-2	$3 x - 4 y = 1$ , $- 6 x + 8 y = - 2$
27549	Solve Using a Matrix with Cramer's Rule	3x-4y=1 , 7x+2y=25	$3 x - 4 y = 1$ , $7 x + 2 y = 25$
27550	Solve Using a Matrix with Cramer's Rule	3x-4y=14 , 2x+8y=12	$3 x - 4 y = 14$ , $2 x + 8 y = 12$
27551	Solve Using a Matrix with Cramer's Rule	3x-4y=9 , 7x+7y=-77	$3 x - 4 y = 9$ , $7 x + 7 y = - 77$
27552	Solve Using a Matrix with Cramer's Rule	3x-4y-12=0 , 5x+2y+6=0	$3 x - 4 y - 12 = 0$ , $5 x + 2 y + 6 = 0$
27553	Solve Using a Matrix with Cramer's Rule	3x-4y-3z=1 , x+4z=1 , -4x+4y-2z=5	$3 x - 4 y - 3 z = 1$ , $x + 4 z = 1$ , $- 4 x + 4 y - 2 z = 5$
27554	Solve Using a Matrix with Cramer's Rule	-3x-5y+36z=10 , -x+7z=5 , x+y-10z=-4	$- 3 x - 5 y + 36 z = 10$ , $- x + 7 z = 5$ , $x + y - 10 z = - 4$
27555	Solve Using a Matrix with Cramer's Rule	3x-5y=1 , 2x+7y=0	$3 x - 5 y = 1$ , $2 x + 7 y = 0$
27556	Solve Using a Matrix with Cramer's Rule	3x-5y=9 , 4x-4y=-4	$3 x - 5 y = 9$ , $4 x - 4 y = - 4$
27557	Solve Using a Matrix with Cramer's Rule	3x-5y-4z=5 , x+y+4z=2 , x-2y+z=-2	$3 x - 5 y - 4 z = 5$ , $x + y + 4 z = 2$ , $x - 2 y + z = - 2$
27558	Solve Using a Matrix with Cramer's Rule	3x-5z=2 , 3x-5y+x=2 , -2x+y+4z=-4	$3 x - 5 z = 2$ , $3 x - 5 y + x = 2$ , $- 2 x + y + 4 z = - 4$
27559	Solve Using a Matrix with Cramer's Rule	3x-6y=12 , 6x-10y=-3	$3 x - 6 y = 12$ , $6 x - 10 y = - 3$
27560	Solve Using a Matrix with Cramer's Rule	3x-6y=9 , 2x+y=-4	$3 x - 6 y = 9$ , $2 x + y = - 4$
27561	Solve Using a Matrix with Cramer's Rule	3x-y+6z=2 , x+2y-2z=5 , -x-3y+z=-4	$3 x - y + 6 z = 2$ , $x + 2 y - 2 z = 5$ , $- x - 3 y + z = - 4$
27562	Solve Using a Matrix with Cramer's Rule	3x-y=1 , 5x+2y=20	$3 x - y = 1$ , $5 x + 2 y = 20$
27563	Solve Using a Matrix with Cramer's Rule	3x-y=5 , 2x+y=15	$3 x - y = 5$ , $2 x + y = 15$
27564	Solve Using a Matrix with Cramer's Rule	3x-y=5 , 5x+2y=23	$3 x - y = 5$ , $5 x + 2 y = 23$
27565	Solve Using a Matrix with Cramer's Rule	3x-y=9 , 2x+y=6	$3 x - y = 9$ , $2 x + y = 6$
27566	Solve Using a Matrix with Cramer's Rule	-3x-y-2z=5 , 4x+5y+6z=-3 , -9x-3y-6z=15	$- 3 x - y - 2 z = 5$ , $4 x + 5 y + 6 z = - 3$ , $- 9 x - 3 y - 6 z = 15$
27567	Solve Using a Matrix with Cramer's Rule	3x-y-3z=18 , 2x-5y-z=23 , 4x-5y=27	$3 x - y - 3 z = 18$ , $2 x - 5 y - z = 23$ , $4 x - 5 y = 27$
27568	Solve Using a Matrix with Cramer's Rule	3x-y-z=3 , x-5y-5z=1 , 3x-5y=18	$3 x - y - z = 3$ , $x - 5 y - 5 z = 1$ , $3 x - 5 y = 18$
27569	Solve Using a Matrix with Cramer's Rule	4=a+b+c , -15=-1a-4b+c , -1=-6a+3b-2c	$4 = a + b + c$ , $- 15 = - 1 a - 4 b + c$ , $- 1 = - 6 a + 3 b - 2 c$
27570	Solve Using a Matrix with Cramer's Rule	4=C+D , 3=B+2C , 5=A+2B , -2=2A	$4 = C + D$ , $3 = B + 2 C$ , $5 = A + 2 B$ , $- 2 = 2 A$
27571	Solve Using a Matrix with Cramer's Rule	4a+7b=-23 , 8a-2c=-22 , 6b-2c=4	$4 a + 7 b = - 23$ , $8 a - 2 c = - 22$ , $6 b - 2 c = 4$
27572	Solve Using a Matrix with Cramer's Rule	4x+12y=24 , 3x+9y=18	$4 x + 12 y = 24$ , $3 x + 9 y = 18$
27573	Solve Using a Matrix with Cramer's Rule	4x+2y+1z=-34 , -4x+2y+5z=94 , -2x-5y+1z=17	$4 x + 2 y + 1 z = - 34$ , $- 4 x + 2 y + 5 z = 94$ , $- 2 x - 5 y + 1 z = 17$
27574	Solve Using a Matrix with Cramer's Rule	-4x+2y+3z=4 , -2x+5y+z=-4 , 8x-4y-6z=-8	$- 4 x + 2 y + 3 z = 4$ , $- 2 x + 5 y + z = - 4$ , $8 x - 4 y - 6 z = - 8$
27575	Solve Using a Matrix with Cramer's Rule	4x+2y=8/3 , 3x-3y=3	$4 x + 2 y = \frac{8}{3}$ , $3 x - 3 y = 3$
27576	Solve Using a Matrix with Cramer's Rule	4x+2y=42 , 4x+3y=51	$4 x + 2 y = 42$ , $4 x + 3 y = 51$
27577	Solve Using a Matrix with Cramer's Rule	4x+3y+z=-1 , x-3y+2z=18 , 11x-2y+3z=29	$4 x + 3 y + z = - 1$ , $x - 3 y + 2 z = 18$ , $11 x - 2 y + 3 z = 29$
27578	Solve Using a Matrix with Cramer's Rule	4x+4y+z=12 , 3x-y+z=9 , -x+y=-3	$4 x + 4 y + z = 12$ , $3 x - y + z = 9$ , $- x + y = - 3$
27579	Solve Using a Matrix with Cramer's Rule	4x+4y=32 , 3x-2y=9	$4 x + 4 y = 32$ , $3 x - 2 y = 9$
27580	Solve Using a Matrix with Cramer's Rule	4x+4y=6 , 9x+6y=14	$4 x + 4 y = 6$ , $9 x + 6 y = 14$
27581	Solve Using a Matrix with Cramer's Rule	4x+5y=10 , 7x+5y=2	$4 x + 5 y = 10$ , $7 x + 5 y = 2$
27582	Solve Using a Matrix with Cramer's Rule	4x+7y=-3 , -3x+3y=-2	$4 x + 7 y = - 3$ , $- 3 x + 3 y = - 2$
27583	Solve Using a Matrix with Cramer's Rule	4x+8y=7 , 3x-3y=0	$4 x + 8 y = 7$ , $3 x - 3 y = 0$
27584	Solve Using a Matrix with Cramer's Rule	-4x+9y=7 , 7x-y=4	$- 4 x + 9 y = 7$ , $7 x - y = 4$
27585	Solve Using a Matrix with Cramer's Rule	4x+y+z+w=2 , x-3y-2z+2w=1	$4 x + y + z + w = 2$ , $x - 3 y - 2 z + 2 w = 1$
27586	Solve Using a Matrix with Cramer's Rule	4x+y=13 , 7x-7y=-21	$4 x + y = 13$ , $7 x - 7 y = - 21$
27587	Solve Using a Matrix with Cramer's Rule	4x=16 , -3x-6y=0	$4 x = 16$ , $- 3 x - 6 y = 0$
27588	Solve Using a Matrix with Cramer's Rule	4x-2y+3z=-2 , 2x+2y+5z=16 , 8x-5y-2z=4	$4 x - 2 y + 3 z = - 2$ , $2 x + 2 y + 5 z = 16$ , $8 x - 5 y - 2 z = 4$
27589	Solve Using a Matrix with Cramer's Rule	4x-2y+5z=6 , 6y-12x-15z=7	$4 x - 2 y + 5 z = 6$ , $6 y - 12 x - 15 z = 7$
27590	Solve Using a Matrix with Cramer's Rule	4x-2y+z=0 , x+y=0 , -8x+4y-2z=0	$4 x - 2 y + z = 0$ , $x + y = 0$ , $- 8 x + 4 y - 2 z = 0$
27591	Solve Using a Matrix with Cramer's Rule	4x-2y=-1 , 2x+3y=-5	$4 x - 2 y = - 1$ , $2 x + 3 y = - 5$
27592	Solve Using a Matrix with Cramer's Rule	4x-2y=10 , 3x-5y=11	$4 x - 2 y = 10$ , $3 x - 5 y = 11$
27593	Solve Using a Matrix with Cramer's Rule	4x-2y=2 , 2x-y=1	$4 x - 2 y = 2$ , $2 x - y = 1$
27594	Solve Using a Matrix with Cramer's Rule	4x-2y=-30 , 3x+5y=-3	$4 x - 2 y = - 30$ , $3 x + 5 y = - 3$
27595	Solve Using a Matrix with Cramer's Rule	4x-2y-5z=-51 , 2x-2y-2z=-42 , 4x-2y+4z=-24	$4 x - 2 y - 5 z = - 51$ , $2 x - 2 y - 2 z = - 42$ , $4 x - 2 y + 4 z = - 24$
27596	Solve Using a Matrix with Cramer's Rule	2x+3y+z=9 , x-y+2z=3 , -x-y+3z=11	$2 x + 3 y + z = 9$ , $x - y + 2 z = 3$ , $- x - y + 3 z = 11$
27597	Solve Using a Matrix with Cramer's Rule	2x+3y=11 , x-2y=7	$2 x + 3 y = 11$ , $x - 2 y = 7$
27598	Solve Using a Matrix with Cramer's Rule	2x+3y=13 , 9x+7y=3	$2 x + 3 y = 13$ , $9 x + 7 y = 3$
27599	Solve Using a Matrix with Cramer's Rule	2x+3y=29 , 4x+2y=30	$2 x + 3 y = 29$ , $4 x + 2 y = 30$
27600	Solve Using a Matrix with Cramer's Rule	2x+3y=-3 , 7x+11y=3	$2 x + 3 y = - 3$ , $7 x + 11 y = 3$