Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
27601	Solve Using a Matrix with Cramer's Rule	2x+3y=3 , x+2y=1	$2 x + 3 y = 3$ , $x + 2 y = 1$
27602	Solve Using a Matrix with Cramer's Rule	-2x+3y=-5 , -8x+12y=24	$- 2 x + 3 y = - 5$ , $- 8 x + 12 y = 24$
27603	Solve Using a Matrix with Cramer's Rule	2x+3y=5 , x-4y=-3	$2 x + 3 y = 5$ , $x - 4 y = - 3$
27604	Solve Using a Matrix with Cramer's Rule	-2x+3y=7 , -9y+6x=1	$- 2 x + 3 y = 7$ , $- 9 y + 6 x = 1$
27605	Solve Using a Matrix with Cramer's Rule	-2x+3y=8 , 4x+7y=-3	$- 2 x + 3 y = 8$ , $4 x + 7 y = - 3$
27606	Solve Using a Matrix with Cramer's Rule	2x+3y-4z=-11 , 3x+4y+5z=8 , x-5=31	$2 x + 3 y - 4 z = - 11$ , $3 x + 4 y + 5 z = 8$ , $x - 5 = 31$
27607	Solve Using a Matrix with Cramer's Rule	2x+3y-5z=1 , x+y-z=2 , 2y+z=8	$2 x + 3 y - 5 z = 1$ , $x + y - z = 2$ , $2 y + z = 8$
27608	Solve Using a Matrix with Cramer's Rule	2x+3y-z=10 , x-2y+6z=-6 , 5x+4y+4z=14	$2 x + 3 y - z = 10$ , $x - 2 y + 6 z = - 6$ , $5 x + 4 y + 4 z = 14$
27609	Solve Using a Matrix with Cramer's Rule	2x+4y+z=7 , -x+y-z=0 , x+4y=-2	$2 x + 4 y + z = 7$ , $- x + y - z = 0$ , $x + 4 y = - 2$
27610	Solve Using a Matrix with Cramer's Rule	2x+4y=0 , 5x-3y=-26	$2 x + 4 y = 0$ , $5 x - 3 y = - 26$
27611	Solve Using a Matrix with Cramer's Rule	2x+4y=10 , 3x-2y=1	$2 x + 4 y = 10$ , $3 x - 2 y = 1$
27612	Solve Using a Matrix with Cramer's Rule	2x+4y=12 , 6x+4y=-4	$2 x + 4 y = 12$ , $6 x + 4 y = - 4$
27613	Solve Using a Matrix with Cramer's Rule	2x+4y=5 , 3x-4y=10	$2 x + 4 y = 5$ , $3 x - 4 y = 10$
27614	Solve Using a Matrix with Cramer's Rule	2x+4y=8 , x+3y=4	$2 x + 4 y = 8$ , $x + 3 y = 4$
27615	Solve Using a Matrix with Cramer's Rule	2x+4y-5z+6=0 , 3x-y+2z-5=0 , -6x-12y+15z=0	$2 x + 4 y - 5 z + 6 = 0$ , $3 x - y + 2 z - 5 = 0$ , $- 6 x - 12 y + 15 z = 0$
27616	Solve Using a Matrix with Cramer's Rule	2x+4y-z=32 , x-2y+2z=-5 , 5x+y+z=20	$2 x + 4 y - z = 32$ , $x - 2 y + 2 z = - 5$ , $5 x + y + z = 20$
27617	Solve Using a Matrix with Cramer's Rule	2x+5y=12 , -2x+3y=4	$2 x + 5 y = 12$ , $- 2 x + 3 y = 4$
27618	Solve Using a Matrix with Cramer's Rule	2x+5y=3 , -x-3y=-5	$2 x + 5 y = 3$ , $- x - 3 y = - 5$
27619	Solve Using a Matrix with Cramer's Rule	-2x+5y=6 , 7x+3y=14	$- 2 x + 5 y = 6$ , $7 x + 3 y = 14$
27620	Solve Using a Matrix with Cramer's Rule	2x+5y-3z=12 , x-5y+2z=23 , 3x+2y-3z=7	$2 x + 5 y - 3 z = 12$ , $x - 5 y + 2 z = 23$ , $3 x + 2 y - 3 z = 7$
27621	Solve Using a Matrix with Cramer's Rule	2x+5y-3z=4 , 4x-3y+2z=9 , 5x+6y-2z=18	$2 x + 5 y - 3 z = 4$ , $4 x - 3 y + 2 z = 9$ , $5 x + 6 y - 2 z = 18$
27622	Solve Using a Matrix with Cramer's Rule	2x+5y-z=29 , x-5y+2z=2 , 5x+y+z=52	$2 x + 5 y - z = 29$ , $x - 5 y + 2 z = 2$ , $5 x + y + z = 52$
27623	Solve Using a Matrix with Cramer's Rule	2x+6y=-4 , 8x+5y=-1	$2 x + 6 y = - 4$ , $8 x + 5 y = - 1$
27624	Solve Using a Matrix with Cramer's Rule	2x+7y=-1 , 5x+2y=13	$2 x + 7 y = - 1$ , $5 x + 2 y = 13$
27625	Solve Using a Matrix with Cramer's Rule	-2x+7y=2 , 9x+3y=12	$- 2 x + 7 y = 2$ , $9 x + 3 y = 12$
27626	Solve Using a Matrix with Cramer's Rule	2x+7z=-25 , 3x-4y=-2 , 5y+6z=-23	$2 x + 7 z = - 25$ , $3 x - 4 y = - 2$ , $5 y + 6 z = - 23$
27627	Solve Using a Matrix with Cramer's Rule	2x+8y+10z=0 , x+4y+5z=-32 , x+y+z=-4	$2 x + 8 y + 10 z = 0$ , $x + 4 y + 5 z = - 32$ , $x + y + z = - 4$
27628	Solve Using a Matrix with Cramer's Rule	2x+8y=0 , 2x+3y=10	$2 x + 8 y = 0$ , $2 x + 3 y = 10$
27629	Solve Using a Matrix with Cramer's Rule	2x+9y-10z=-2 , 4x+15y-16z=4 , x+3y-3z=3	$2 x + 9 y - 10 z = - 2$ , $4 x + 15 y - 16 z = 4$ , $x + 3 y - 3 z = 3$
27630	Solve Using a Matrix with Cramer's Rule	2x+y+2z=5 , 6x-2y-z=5 , x-9y-4z=-3	$2 x + y + 2 z = 5$ , $6 x - 2 y - z = 5$ , $x - 9 y - 4 z = - 3$
27631	Solve Using a Matrix with Cramer's Rule	2x-3y=7 , x+2y-4z=-6 , -x-2y+z=11	$2 x - 3 y = 7$ , $x + 2 y - 4 z = - 6$ , $- x - 2 y + z = 11$
27632	Solve Using a Matrix with Cramer's Rule	2x-3y-10=0 , 2x+2y-5=0	$2 x - 3 y - 10 = 0$ , $2 x + 2 y - 5 = 0$
27633	Solve Using a Matrix with Cramer's Rule	2x-3y-2z=6 , 3x-2y-z=2 , 3x-4y=5	$2 x - 3 y - 2 z = 6$ , $3 x - 2 y - z = 2$ , $3 x - 4 y = 5$
27634	Solve Using a Matrix with Cramer's Rule	2x-3y-z=0 , -x+2y+z=5 , 3x-4y-z=1	$2 x - 3 y - z = 0$ , $- x + 2 y + z = 5$ , $3 x - 4 y - z = 1$
27635	Solve Using a Matrix with Cramer's Rule	2x-3y-z=13 , -x+2y-5z=6 , 5x-y-z=49	$2 x - 3 y - z = 13$ , $- x + 2 y - 5 z = 6$ , $5 x - y - z = 49$
27636	Solve Using a Matrix with Cramer's Rule	2x-4x+z=8 , 3x+3y+4z=20 , 5x+y-3z=-13	$2 x - 4 x + z = 8$ , $3 x + 3 y + 4 z = 20$ , $5 x + y - 3 z = - 13$
27637	Solve Using a Matrix with Cramer's Rule	2x-4y+2z-19=0 , 4x+6y-z+15=0 , x+y+2z-11=0	$2 x - 4 y + 2 z - 19 = 0$ , $4 x + 6 y - z + 15 = 0$ , $x + y + 2 z - 11 = 0$
27638	Solve Using a Matrix with Cramer's Rule	2x-4y+5z=12 , 2x+5y-2z=11 , x+2y-3z=-4	$2 x - 4 y + 5 z = 12$ , $2 x + 5 y - 2 z = 11$ , $x + 2 y - 3 z = - 4$
27639	Solve Using a Matrix with Cramer's Rule	2x-4y=1 , 5x+9y=0	$2 x - 4 y = 1$ , $5 x + 9 y = 0$
27640	Solve Using a Matrix with Cramer's Rule	-2x-4y=2 , 4x-8y=1	$- 2 x - 4 y = 2$ , $4 x - 8 y = 1$
27641	Solve Using a Matrix with Cramer's Rule	2x-4y=-4 , 3x+4y=2	$2 x - 4 y = - 4$ , $3 x + 4 y = 2$
27642	Solve Using a Matrix with Cramer's Rule	2x-4y=-6 , 2x+3y=2	$2 x - 4 y = - 6$ , $2 x + 3 y = 2$
27643	Solve Using a Matrix with Cramer's Rule	2x-4y=7 , 5x+9y=-11 , 9x-5y=12	$2 x - 4 y = 7$ , $5 x + 9 y = - 11$ , $9 x - 5 y = 12$
27644	Solve Using a Matrix with Cramer's Rule	2x-4y=7 , 7x+9y=-33 , 11x-5y=-4	$2 x - 4 y = 7$ , $7 x + 9 y = - 33$ , $11 x - 5 y = - 4$
27645	Solve Using a Matrix with Cramer's Rule	2x-5y=10 , 3x+y=15	$2 x - 5 y = 10$ , $3 x + y = 15$
27646	Solve Using a Matrix with Cramer's Rule	2x-5y=10 , -7x+11y=-3	$2 x - 5 y = 10$ , $- 7 x + 11 y = - 3$
27647	Solve Using a Matrix with Cramer's Rule	2x-5y=-2 , -1/4x+2y=7	$2 x - 5 y = - 2$ , $- \frac{1}{4} x + 2 y = 7$
27648	Solve Using a Matrix with Cramer's Rule	2x-5y=4 , x+y-z=8 , 3x+5z=0	$2 x - 5 y = 4$ , $x + y - z = 8$ , $3 x + 5 z = 0$
27649	Solve Using a Matrix with Cramer's Rule	2x-5y-10=0 , 4x+y-25=0	$2 x - 5 y - 10 = 0$ , $4 x + y - 25 = 0$
27650	Solve Using a Matrix with Cramer's Rule	2x-6y=11 , 5x+9y=15	$2 x - 6 y = 11$ , $5 x + 9 y = 15$
27651	Solve Using a Matrix with Cramer's Rule	2x-6y=-18 , 3x+9y=18 , 9x-5y=-26	$2 x - 6 y = - 18$ , $3 x + 9 y = 18$ , $9 x - 5 y = - 26$
27652	Solve Using a Matrix with Cramer's Rule	2x-6y=-2 , 2x+4y=2	$2 x - 6 y = - 2$ , $2 x + 4 y = 2$
27653	Solve Using a Matrix with Cramer's Rule	2x-7y=-1 , x+3y=-5	$2 x - 7 y = - 1$ , $x + 3 y = - 5$
27654	Solve Using a Matrix with Cramer's Rule	2x-8y+z=-2 , -9x+7y+5z=-10 , 8x-9y-z-2=0	$2 x - 8 y + z = - 2$ , $- 9 x + 7 y + 5 z = - 10$ , $8 x - 9 y - z - 2 = 0$
27655	Solve Using a Matrix with Cramer's Rule	2x-y+2z+w=5 , -x+y+4z-w=3 , 3x-2y-z=0	$2 x - y + 2 z + w = 5$ , $- x + y + 4 z - w = 3$ , $3 x - 2 y - z = 0$
27656	Solve Using a Matrix with Cramer's Rule	2x-y+3z=0 , x+2y-z=5	$2 x - y + 3 z = 0$ , $x + 2 y - z = 5$
27657	Solve Using a Matrix with Cramer's Rule	2x-y+4z=-3 , x-2y-10z=-6 , 3x+4z=7	$2 x - y + 4 z = - 3$ , $x - 2 y - 10 z = - 6$ , $3 x + 4 z = 7$
27658	Solve Using a Matrix with Cramer's Rule	2x-y+z=1 , 6x+3y+5z=-1 , 6y+2z=-3	$2 x - y + z = 1$ , $6 x + 3 y + 5 z = - 1$ , $6 y + 2 z = - 3$
27659	Solve Using a Matrix with Cramer's Rule	2x-y=0 , x+3y-z=-3 , 3y+z=8	$2 x - y = 0$ , $x + 3 y - z = - 3$ , $3 y + z = 8$
27660	Solve Using a Matrix with Cramer's Rule	2x-y=-15 , x+y=0	$2 x - y = - 15$ , $x + y = 0$
27661	Solve Using a Matrix with Cramer's Rule	2x-y=2 , x+2y=6	$2 x - y = 2$ , $x + 2 y = 6$
27662	Solve Using a Matrix with Cramer's Rule	2x-y=4 , 6x-2y=2	$2 x - y = 4$ , $6 x - 2 y = 2$
27663	Solve Using a Matrix with Cramer's Rule	2x-y=5 , 5x+2y=8	$2 x - y = 5$ , $5 x + 2 y = 8$
27664	Solve Using a Matrix with Cramer's Rule	2x-y-4=0 , 3x+4y-12=0	$2 x - y - 4 = 0$ , $3 x + 4 y - 12 = 0$
27665	Solve Using a Matrix with Cramer's Rule	35x+40y=2425 , x+y=65	$35 x + 40 y = 2425$ , $x + y = 65$
27666	Solve Using a Matrix with Cramer's Rule	-35x-2y+z=-130 , 20x+y=76 , -40x-2y+z=-150	$- 35 x - 2 y + z = - 130$ , $20 x + y = 76$ , $- 40 x - 2 y + z = - 150$
27667	Solve Using a Matrix with Cramer's Rule	3r-5s-2t=-10 , r+5s-4t=-2 , -2r+6s=10	$3 r - 5 s - 2 t = - 10$ , $r + 5 s - 4 t = - 2$ , $- 2 r + 6 s = 10$
27668	Solve Using a Matrix with Cramer's Rule	3a+2b=7 , 2a+10b=6	$3 a + 2 b = 7$ , $2 a + 10 b = 6$
27669	Solve Using a Matrix with Cramer's Rule	3x+10y-11z+w=11 , 6y+z=-4 , x-y-12z=-11 , 8x-8y+7z=4	$3 x + 10 y - 11 z + w = 11$ , $6 y + z = - 4$ , $x - y - 12 z = - 11$ , $8 x - 8 y + 7 z = 4$
27670	Solve Using a Matrix with Cramer's Rule	-3x+2y+4z=-4 , 5x+6y-6z=-3 , 12x-8y-16z=16	$- 3 x + 2 y + 4 z = - 4$ , $5 x + 6 y - 6 z = - 3$ , $12 x - 8 y - 16 z = 16$
27671	Solve Using a Matrix with Cramer's Rule	-3x+2y=12 , 7x+8y=11	$- 3 x + 2 y = 12$ , $7 x + 8 y = 11$
27672	Solve Using a Matrix with Cramer's Rule	3x+2y=18 , 4x-4y=-16	$3 x + 2 y = 18$ , $4 x - 4 y = - 16$
27673	Solve Using a Matrix with Cramer's Rule	3x+2y=-2 , 6x+4y=4	$3 x + 2 y = - 2$ , $6 x + 4 y = 4$
27674	Solve Using a Matrix with Cramer's Rule	3x+2y=24 , 5x-4y=-4	$3 x + 2 y = 24$ , $5 x - 4 y = - 4$
27675	Solve Using a Matrix with Cramer's Rule	3x+2y=-4 , -2x+y=5	$3 x + 2 y = - 4$ , $- 2 x + y = 5$
27676	Solve Using a Matrix with Cramer's Rule	3x+2y=5 , 5x+4y=7	$3 x + 2 y = 5$ , $5 x + 4 y = 7$
27677	Solve Using a Matrix with Cramer's Rule	3x+2y=7 , 3x-3y=-3	$3 x + 2 y = 7$ , $3 x - 3 y = - 3$
27678	Solve Using a Matrix with Cramer's Rule	-3x+2y-3z=-5 , -5x-3y+3z=5 , -12x+8y-12z=-20	$- 3 x + 2 y - 3 z = - 5$ , $- 5 x - 3 y + 3 z = 5$ , $- 12 x + 8 y - 12 z = - 20$
27679	Solve Using a Matrix with Cramer's Rule	3x+3y=15 , 7x+4y=17	$3 x + 3 y = 15$ , $7 x + 4 y = 17$
27680	Solve Using a Matrix with Cramer's Rule	3x+3y=5 , x-4y=-3	$3 x + 3 y = 5$ , $x - 4 y = - 3$
27681	Solve Using a Matrix with Cramer's Rule	3x+4y=0 , x-5y=0	$3 x + 4 y = 0$ , $x - 5 y = 0$
27682	Solve Using a Matrix with Cramer's Rule	3x+4y-2z=6 , x+y+z=2 , x+2y-4z=2	$3 x + 4 y - 2 z = 6$ , $x + y + z = 2$ , $x + 2 y - 4 z = 2$
27683	Solve Using a Matrix with Cramer's Rule	3x+4y-z=10 , x-4z=20 , 2x+y+5z=30	$3 x + 4 y - z = 10$ , $x - 4 z = 20$ , $2 x + y + 5 z = 30$
27684	Solve Using a Matrix with Cramer's Rule	-3x+5y+2z=38 , 2x+2y+2z=-4 , 5x+2y+2z=-22	$- 3 x + 5 y + 2 z = 38$ , $2 x + 2 y + 2 z = - 4$ , $5 x + 2 y + 2 z = - 22$
27685	Solve Using a Matrix with Cramer's Rule	-3x+5y=14 , 5x+7y=12	$- 3 x + 5 y = 14$ , $5 x + 7 y = 12$
27686	Solve Using a Matrix with Cramer's Rule	-3x+5y=25 , 3x-2y=-10	$- 3 x + 5 y = 25$ , $3 x - 2 y = - 10$
27687	Solve Using a Matrix with Cramer's Rule	-3x+5y=5 , 4x+7y=0	$- 3 x + 5 y = 5$ , $4 x + 7 y = 0$
27688	Solve Using a Matrix with Cramer's Rule	3x+5y=-7 , 2x+7z=2 , 4y+3z=-8	$3 x + 5 y = - 7$ , $2 x + 7 z = 2$ , $4 y + 3 z = - 8$
27689	Solve Using a Matrix with Cramer's Rule	3a+5y-2W=-13 , 2a+7Z-W=-1 , 4y+3Z+3W=1 , -a+2y+4Z=-5	$3 a + 5 y - 2 W = - 13$ , $2 a + 7 Z - W = - 1$ , $4 y + 3 Z + 3 W = 1$ , $- a + 2 y + 4 Z = - 5$
27690	Solve Using a Matrix with Cramer's Rule	3x+5z=24 , -9x+7y+2z=14 , -8x-8y=-64	$3 x + 5 z = 24$ , $- 9 x + 7 y + 2 z = 14$ , $- 8 x - 8 y = - 64$
27691	Solve Using a Matrix with Cramer's Rule	3x+6y=-6 , 4x+5y=-8	$3 x + 6 y = - 6$ , $4 x + 5 y = - 8$
27692	Solve Using a Matrix with Cramer's Rule	3x+6y-z=7 , 3x-3y+5z=-7 , 9x+9y-2z=12	$3 x + 6 y - z = 7$ , $3 x - 3 y + 5 z = - 7$ , $9 x + 9 y - 2 z = 12$
27693	Solve Using a Matrix with Cramer's Rule	3x+7y=1 , -2x+2y=-3	$3 x + 7 y = 1$ , $- 2 x + 2 y = - 3$
27694	Solve Using a Matrix with Cramer's Rule	3x+8y=58 , x=14-2y	$3 x + 8 y = 58$ , $x = 14 - 2 y$
27695	Solve Using a Matrix with Cramer's Rule	3x+y+z+w=1 , x-2y+z-3w=2	$3 x + y + z + w = 1$ , $x - 2 y + z - 3 w = 2$
27696	Solve Using a Matrix with Cramer's Rule	3x+y=6 , y=-3x+6	$3 x + y = 6$ , $y = - 3 x + 6$
27697	Solve Using a Matrix with Cramer's Rule	3x-2y+3z=8 , 2x+y-z=1 , 4x-3y+2z=4	$3 x - 2 y + 3 z = 8$ , $2 x + y - z = 1$ , $4 x - 3 y + 2 z = 4$
27698	Solve Using a Matrix with Cramer's Rule	3x-2y+z=-23 , x+2y-3z=1 , 2x+y-z=2	$3 x - 2 y + z = - 23$ , $x + 2 y - 3 z = 1$ , $2 x + y - z = 2$
27699	Solve Using a Matrix with Cramer's Rule	-3x-2y+z=-6 , -2x+4y+z=1 , -4x-2y+z=-1	$- 3 x - 2 y + z = - 6$ , $- 2 x + 4 y + z = 1$ , $- 4 x - 2 y + z = - 1$
27700	Solve Using a Matrix with Cramer's Rule	3x-2y=-1 , 2x+3y=3	$3 x - 2 y = - 1$ , $2 x + 3 y = 3$