Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5801	Solve Using a Matrix by Elimination	3x+5y=5 , 6x+10y=10	$3 x + 5 y = 5$ , $6 x + 10 y = 10$
5802	Solve Using a Matrix by Elimination	3x+5y-z=2 , 4x+7y+z=4	$3 x + 5 y - z = 2$ , $4 x + 7 y + z = 4$
5803	Solve Using a Matrix by Elimination	3x+6y-3z=60 , x+2y+4z=-10 , 5x-2y+5z=-8	$3 x + 6 y - 3 z = 60$ , $x + 2 y + 4 z = - 10$ , $5 x - 2 y + 5 z = - 8$
5804	Solve Using a Matrix by Elimination	3x+7y-2z=0 , 7x-5y+3z=1 , 10x+2y+z=1	$3 x + 7 y - 2 z = 0$ , $7 x - 5 y + 3 z = 1$ , $10 x + 2 y + z = 1$
5805	Solve Using a Matrix by Elimination	3x+9y-13z=2 , 2x+7y-10z=-1 , x+2y-3z=3	$3 x + 9 y - 13 z = 2$ , $2 x + 7 y - 10 z = - 1$ , $x + 2 y - 3 z = 3$
5806	Solve Using a Matrix by Elimination	3x+y+6z=32 , 3x+2y+9z=46 , 3x+y+5z=34 , 3x+3y+3z=24	$3 x + y + 6 z = 32$ , $3 x + 2 y + 9 z = 46$ , $3 x + y + 5 z = 34$ , $3 x + 3 y + 3 z = 24$
5807	Solve Using a Matrix by Elimination	3x+y=2 , 2x-y=3	$3 x + y = 2$ , $2 x - y = 3$
5808	Solve Using a Matrix by Elimination	2x-3y=9 , 6x+9y=9	$2 x - 3 y = 9$ , $6 x + 9 y = 9$
5809	Solve Using a Matrix by Elimination	2x-4y=2 , 9x-15y=15	$2 x - 4 y = 2$ , $9 x - 15 y = 15$
5810	Solve Using a Matrix by Elimination	2x-5y+z=-14 , x+4y-6z=-7 , 3x-4y-2z=-21	$2 x - 5 y + z = - 14$ , $x + 4 y - 6 z = - 7$ , $3 x - 4 y - 2 z = - 21$
5811	Solve Using a Matrix by Elimination	2x-5y=10 , 4x-10y=20	$2 x - 5 y = 10$ , $4 x - 10 y = 20$
5812	Solve Using a Matrix by Elimination	2x-5y=22 , 3x+4y=10	$2 x - 5 y = 22$ , $3 x + 4 y = 10$
5813	Solve Using a Matrix by Elimination	-2x-y+4z=-6 , 5y+7z=20 , -4x+6y+3z=20	$- 2 x - y + 4 z = - 6$ , $5 y + 7 z = 20$ , $- 4 x + 6 y + 3 z = 20$
5814	Solve Using a Matrix by Elimination	2x-y=3 , x+2y=4 , 2x+3y=7	$2 x - y = 3$ , $x + 2 y = 4$ , $2 x + 3 y = 7$
5815	Solve Using a Matrix by Elimination	2x-y=-4 , x+2y=13	$2 x - y = - 4$ , $x + 2 y = 13$
5816	Solve Using a Matrix by Elimination	2x-y=9 , 3x+4y=-14	$2 x - y = 9$ , $3 x + 4 y = - 14$
5817	Maximize the Equation given the Constraints	p=5x+6y=7z , 6x+y+5z=16 , 2x+y+9z=96 , 8x+7y+5z=133 , 6x+y+z=77	$p = 5 x + 6 y = 7 z$ , $6 x + y + 5 z = 16$ , $2 x + y + 9 z = 96$ , $8 x + 7 y + 5 z = 133$ , $6 x + y + z = 77$
5818	Solve Using a Matrix by Elimination	2x+6y+12z=26 , 3y+6z=12 , 3x+9y+20z=45	$2 x + 6 y + 12 z = 26$ , $3 y + 6 z = 12$ , $3 x + 9 y + 20 z = 45$
5819	Solve Using a Matrix by Elimination	2x+7y-32=0 , 5x-y+5z=1 , 7x+6y+2z=1	$2 x + 7 y - 32 = 0$ , $5 x - y + 5 z = 1$ , $7 x + 6 y + 2 z = 1$
5820	Solve Using a Matrix by Elimination	2x+7y-5z=0 , 5x-2y+6z=1 , 7x+5y+z=1	$2 x + 7 y - 5 z = 0$ , $5 x - 2 y + 6 z = 1$ , $7 x + 5 y + z = 1$
5821	Solve Using a Matrix by Elimination	7x+7y+z=1 , x+8y+8z=8 , 9x+y+9z=9	$7 x + 7 y + z = 1$ , $x + 8 y + 8 z = 8$ , $9 x + y + 9 z = 9$
5822	Solve Using a Matrix by Elimination	7x+y-z=7 , 6x+6y-5z=6	$7 x + y - z = 7$ , $6 x + 6 y - 5 z = 6$
5823	Solve Using a Matrix by Elimination	7x-3x+3z=5 , 7x+2y-z=12 , 35x-10y+11z=32	$7 x - 3 x + 3 z = 5$ , $7 x + 2 y - z = 12$ , $35 x - 10 y + 11 z = 32$
5824	Solve Using a Matrix by Elimination	7x-3y+3z=5 , 7x+2y-z=12 , 35x-10y+11z=32	$7 x - 3 y + 3 z = 5$ , $7 x + 2 y - z = 12$ , $35 x - 10 y + 11 z = 32$
5825	Solve Using a Matrix by Elimination	7x-6y=-1 , -14x+12y=2	$7 x - 6 y = - 1$ , $- 14 x + 12 y = 2$
5826	Solve Using a Matrix by Elimination	7x-7y+5z=9 , 14x-14y+10z=17 , -7x+7y-5z=-7	$7 x - 7 y + 5 z = 9$ , $14 x - 14 y + 10 z = 17$ , $- 7 x + 7 y - 5 z = - 7$
5827	Solve Using a Matrix by Elimination	7x-7y+7z=35 , -2x-2y+z=-1 , -3x-2y=-3	$7 x - 7 y + 7 z = 35$ , $- 2 x - 2 y + z = - 1$ , $- 3 x - 2 y = - 3$
5828	Solve Using a Matrix by Elimination	-7x-y+2z=-9 , 4y+2z=-12 , -6x+5y+5z=-26	$- 7 x - y + 2 z = - 9$ , $4 y + 2 z = - 12$ , $- 6 x + 5 y + 5 z = - 26$
5829	Solve Using a Matrix by Elimination	7x-y=35 , x+7y=55	$7 x - y = 35$ , $x + 7 y = 55$
5830	Solve Using a Matrix by Elimination	7x-y-6z=8 , 2x+y-z=5 , 5x+y-4z=9	$7 x - y - 6 z = 8$ , $2 x + y - z = 5$ , $5 x + y - 4 z = 9$
5831	Solve Using a Matrix by Elimination	7x-y-9z=5 , 5x+y-z=7 , 5x+y-6z=4	$7 x - y - 9 z = 5$ , $5 x + y - z = 7$ , $5 x + y - 6 z = 4$
5832	Solve Using a Matrix by Elimination	8(9)=9(9-1) , 8(9)+8(81)=9(81-1) , 8(9)+8(81)+8(729)=9(729-1) , 8(9)+8(81)+8(729)+8(6561)=9(6561-1)	$8 (9) = 9 (9 - 1)$ , $8 (9) + 8 (81) = 9 (81 - 1)$ , $8 (9) + 8 (81) + 8 (729) = 9 (729 - 1)$ , $8 (9) + 8 (81) + 8 (729) + 8 (6561) = 9 (6561 - 1)$
5833	Solve Using a Matrix by Elimination	8a+4b=-56 , -8a+b=66	$8 a + 4 b = - 56$ , $- 8 a + b = 66$
5834	Solve Using a Matrix by Elimination	8x+2y=17 , -4x-y=9	$8 x + 2 y = 17$ , $- 4 x - y = 9$
5835	Solve Using a Matrix by Elimination	8x+7y=-34 , 16+14y=-36	$8 x + 7 y = - 34$ , $16 + 14 y = - 36$
5836	Solve Using a Matrix by Elimination	8x+y=56 , 4x+6y=72	$8 x + y = 56$ , $4 x + 6 y = 72$
5837	Solve Using a Matrix by Elimination	8x-2y+9z=-4 , 8x-2y+4z=4 , 4y-5z=-9	$8 x - 2 y + 9 z = - 4$ , $8 x - 2 y + 4 z = 4$ , $4 y - 5 z = - 9$
5838	Solve Using a Matrix by Elimination	8x-3y=-9 , 2x+12y=36	$8 x - 3 y = - 9$ , $2 x + 12 y = 36$
5839	Solve Using a Matrix by Elimination	8x-7y=16 , 6x-5y=12	$8 x - 7 y = 16$ , $6 x - 5 y = 12$
5840	Solve Using a Matrix by Elimination	8x-7y=-2 , 16x+14y=2	$8 x - 7 y = - 2$ , $16 x + 14 y = 2$
5841	Solve Using a Matrix by Elimination	9x1+29x2+3x3=12 , 4x1+13x2+4x3=-7 , x1+3x2-5x*3=1	$9 x \cdot 1 + 29 x \cdot 2 + 3 x \cdot 3 = 12$ , $4 x \cdot 1 + 13 x \cdot 2 + 4 x \cdot 3 = - 7$ , $x \cdot 1 + 3 x \cdot 2 - 5 x \cdot 3 = 1$
5842	Solve Using a Matrix by Elimination	9x+7y=102 , -2x+9y=9	$9 x + 7 y = 102$ , $- 2 x + 9 y = 9$
5843	Solve Using a Matrix by Elimination	9x-3y=24 , 11x+2y=1	$9 x - 3 y = 24$ , $11 x + 2 y = 1$
5844	Solve Using a Matrix by Elimination	9x-6y+4z=-9 , 5x-4y+9z=1 , 3y-3z=-6	$9 x - 6 y + 4 z = - 9$ , $5 x - 4 y + 9 z = 1$ , $3 y - 3 z = - 6$
5845	Solve Using a Matrix by Elimination	9x-7y=63 , 45x-35=18	$9 x - 7 y = 63$ , $45 x - 35 = 18$
5846	Solve Using a Matrix by Elimination	a=6i+5j , b=5i+4j	$a = 6 i + 5 j$ , $b = 5 i + 4 j$
5847	Solve Using a Matrix by Elimination	(2x+5y+3z)=1 , (x+2y+2z)=0 , (4x+9y+7z)=1	$(2 x + 5 y + 3 z) = 1$ , $(x + 2 y + 2 z) = 0$ , $(4 x + 9 y + 7 z) = 1$
5848	Solve Using a Matrix by Elimination	v=3i+j , w=i+3j	$v = 3 i + j$ , $w = i + 3 j$
5849	Solve Using a Matrix by Elimination	w-2x-y-3z=0 , w+x-y=3 , 5w+5x+z=5 , 5x-2y+z=9	$w - 2 x - y - 3 z = 0$ , $w + x - y = 3$ , $5 w + 5 x + z = 5$ , $5 x - 2 y + z = 9$
5850	Solve Using a Matrix by Elimination	x1+2x2+x4=7 , x1+x2+x3-x4=3 , 3x1+x2+5x3-7x*4=1	$x \cdot 1 + 2 x \cdot 2 + x \cdot 4 = 7$ , $x \cdot 1 + x \cdot 2 + x \cdot 3 - x \cdot 4 = 3$ , $3 x \cdot 1 + x \cdot 2 + 5 x \cdot 3 - 7 x \cdot 4 = 1$
5851	Solve Using a Matrix by Elimination	x1+3x2-2x3=5 , 2x1-2x2-x3=-5 , x1-5x2+x*3=-10	$x \cdot 1 + 3 x \cdot 2 - 2 x \cdot 3 = 5$ , $2 x \cdot 1 - 2 x \cdot 2 - x \cdot 3 = - 5$ , $x \cdot 1 - 5 x \cdot 2 + x \cdot 3 = - 10$
5852	Solve Using a Matrix by Elimination	x-1/2y=1 , 7/2x-1/7y=1	$x - \frac{1}{2} y = 1$ , $\frac{7}{2} x - \frac{1}{7} y = 1$
5853	Solve Using a Matrix by Elimination	x+16y=9 , 1/4x+4y=8	$x + 16 y = 9$ , $\frac{1}{4} x + 4 y = 8$
5854	Solve Using a Matrix by Elimination	x+2y+2z=12 , -x+3y+5z=18 , x+y-4z=-17	$x + 2 y + 2 z = 12$ , $- x + 3 y + 5 z = 18$ , $x + y - 4 z = - 17$
5855	Solve Using a Matrix by Elimination	x+2y+2z=-4 , -4x-9y-12z=16 , -3x-8y-15z=16	$x + 2 y + 2 z = - 4$ , $- 4 x - 9 y - 12 z = 16$ , $- 3 x - 8 y - 15 z = 16$
5856	Solve Using a Matrix by Elimination	x+2y+z=-4 , -2x-3y-z=1 , 2x+4y+2z=-8	$x + 2 y + z = - 4$ , $- 2 x - 3 y - z = 1$ , $2 x + 4 y + 2 z = - 8$
5857	Solve Using a Matrix by Elimination	x+2y+z=60 , 2x+y+z=48 , 3x+y+2z=42 , 72x+66y+102z=0	$x + 2 y + z = 60$ , $2 x + y + z = 48$ , $3 x + y + 2 z = 42$ , $72 x + 66 y + 102 z = 0$
5858	Solve Using a Matrix by Elimination	x+2y=10 , y=4x-4	$x + 2 y = 10$ , $y = 4 x - 4$
5859	Solve Using a Matrix by Elimination	-x+2y=16 , x-y=-2	$- x + 2 y = 16$ , $x - y = - 2$
5860	Solve Using a Matrix by Elimination	x+2y=3 , 2x+6y=5	$x + 2 y = 3$ , $2 x + 6 y = 5$
5861	Solve Using a Matrix by Elimination	x+2y=5 , 7x+2y=-25	$x + 2 y = 5$ , $7 x + 2 y = - 25$
5862	Solve Using a Matrix by Elimination	x+2y=8 , 2x+6y=9	$x + 2 y = 8$ , $2 x + 6 y = 9$
5863	Solve Using a Matrix by Elimination	x+2y-7z=-2 , -2x-5y+2z=1 , 3x+5y+2z=-9	$x + 2 y - 7 z = - 2$ , $- 2 x - 5 y + 2 z = 1$ , $3 x + 5 y + 2 z = - 9$
5864	Solve Using a Matrix by Elimination	x+2y-7z=-2 , -2x-5y+2z=1 , 3x+5y+4z=-9	$x + 2 y - 7 z = - 2$ , $- 2 x - 5 y + 2 z = 1$ , $3 x + 5 y + 4 z = - 9$
5865	Solve Using a Matrix by Elimination	x+2y-z=-4 , 2x+y+z=7 , x+3y+2z=7 , x-3y+z=9	$x + 2 y - z = - 4$ , $2 x + y + z = 7$ , $x + 3 y + 2 z = 7$ , $x - 3 y + z = 9$
5866	Solve Using a Matrix by Elimination	x+2y-z=5 , 2x+3y-3z=8 , y+z=2	$x + 2 y - z = 5$ , $2 x + 3 y - 3 z = 8$ , $y + z = 2$
5867	Solve Using a Matrix by Elimination	-x+3y+2z=0 , 2x-y-z=3 , x+2y+3z=0	$- x + 3 y + 2 z = 0$ , $2 x - y - z = 3$ , $x + 2 y + 3 z = 0$
5868	Solve Using a Matrix by Elimination	x+3y+2z=8 , 3x+1y+3z=-10 , -2x-2y-z=10	$x + 3 y + 2 z = 8$ , $3 x + 1 y + 3 z = - 10$ , $- 2 x - 2 y - z = 10$
5869	Solve Using a Matrix by Elimination	x+3y+z=94 , 7y+2z=70	$x + 3 y + z = 94$ , $7 y + 2 z = 70$
5870	Solve Using a Matrix by Elimination	x+3y=-1 , 2x-y=5	$x + 3 y = - 1$ , $2 x - y = 5$
5871	Solve Using a Matrix by Elimination	x+3y-8z=20 , y-3z=11 , 2y+7z=-4	$x + 3 y - 8 z = 20$ , $y - 3 z = 11$ , $2 y + 7 z = - 4$
5872	Solve Using a Matrix by Elimination	x+4y+2z=21 , -x-3y-z=-17 , 3x+24y+18z=111	$x + 4 y + 2 z = 21$ , $- x - 3 y - z = - 17$ , $3 x + 24 y + 18 z = 111$
5873	Solve Using a Matrix by Elimination	x+4y-2z=20 , x+5y+2z=11 , x+4y-28z=33	$x + 4 y - 2 z = 20$ , $x + 5 y + 2 z = 11$ , $x + 4 y - 28 z = 33$
5874	Solve Using a Matrix by Elimination	-x+5y=4 , -3x+15y=12	$- x + 5 y = 4$ , $- 3 x + 15 y = 12$
5875	Solve Using a Matrix by Elimination	x+7y+6z=-2 , -7x-4y-5z=1 , 10x-5z=-4	$x + 7 y + 6 z = - 2$ , $- 7 x - 4 y - 5 z = 1$ , $10 x - 5 z = - 4$
5876	Solve Using a Matrix by Elimination	x+8+8z=8 , 7x+7y+z=1 , 8x+15y+9z=-9	$x + 8 + 8 z = 8$ , $7 x + 7 y + z = 1$ , $8 x + 15 y + 9 z = - 9$
5877	Solve Using a Matrix by Elimination	x+8y+8z=8 , 7x+7y+z=1 , 8x+15y+9z=-9	$x + 8 y + 8 z = 8$ , $7 x + 7 y + z = 1$ , $8 x + 15 y + 9 z = - 9$
5878	Solve Using a Matrix by Elimination	x+y+2z=12 , 2x+3y-z=-2 , -3x+4y+z=-8	$x + y + 2 z = 12$ , $2 x + 3 y - z = - 2$ , $- 3 x + 4 y + z = - 8$
5879	Solve Using a Matrix by Elimination	x+y+z=0 , 2x-y+2=1 , x+y-2z=2	$x + y + z = 0$ , $2 x - y + 2 = 1$ , $x + y - 2 z = 2$
5880	Solve Using a Matrix by Elimination	x+y+z=-1 , 2x+3y+2z=3 , 2x+y+2z=-7	$x + y + z = - 1$ , $2 x + 3 y + 2 z = 3$ , $2 x + y + 2 z = - 7$
5881	Solve Using a Matrix by Elimination	x+y+z=1 , x+3y+3z=-3 , x-y+z=3	$x + y + z = 1$ , $x + 3 y + 3 z = - 3$ , $x - y + z = 3$
5882	Solve Using a Matrix by Elimination	-x+y+z=-1 , -x+3y-5z=-13 , 6x-5y-9z=0	$- x + y + z = - 1$ , $- x + 3 y - 5 z = - 13$ , $6 x - 5 y - 9 z = 0$
5883	Solve Using a Matrix by Elimination	-x+y+z=-1 , -x+4y-5z=-22 , 7x-6y-9z=0	$- x + y + z = - 1$ , $- x + 4 y - 5 z = - 22$ , $7 x - 6 y - 9 z = 0$
5884	Solve Using a Matrix by Elimination	x+y+z=-1 , x-y+3z=-7 , 4x+y+z=-7	$x + y + z = - 1$ , $x - y + 3 z = - 7$ , $4 x + y + z = - 7$
5885	Solve Using a Matrix by Elimination	x+y+z=10 , 3x+y-z=14 , 5x-y+2z=20	$x + y + z = 10$ , $3 x + y - z = 14$ , $5 x - y + 2 z = 20$
5886	Solve Using a Matrix by Elimination	x+y+z=14 , 4x+9y+11z=119 , 3x+6y+10z=91	$x + y + z = 14$ , $4 x + 9 y + 11 z = 119$ , $3 x + 6 y + 10 z = 91$
5887	Solve Using a Matrix by Elimination	x+y+z=175 , 5x+6y+8z=1000 , x-2y=0	$x + y + z = 175$ , $5 x + 6 y + 8 z = 1000$ , $x - 2 y = 0$
5888	Solve Using a Matrix by Elimination	x+y+z=86 , 85x+52y+58z=5174	$x + y + z = 86$ , $85 x + 52 y + 58 z = 5174$
5889	Solve Using a Matrix by Elimination	x+y+z=9 , 2x-3y+4z=7 , x-4y+3z=-2	$x + y + z = 9$ , $2 x - 3 y + 4 z = 7$ , $x - 4 y + 3 z = - 2$
5890	Solve Using a Matrix by Elimination	x+y+z=9 , 5x+9y+14z=79 , 2x+4y+11z=44	$x + y + z = 9$ , $5 x + 9 y + 14 z = 79$ , $2 x + 4 y + 11 z = 44$
5891	Solve Using a Matrix by Elimination	x+y=1 , 4x-y=0 , x-14y=-11	$x + y = 1$ , $4 x - y = 0$ , $x - 14 y = - 11$
5892	Solve Using a Matrix by Elimination	-x+y=-1 , 3x-2y=0 , 2x-y=4	$- x + y = - 1$ , $3 x - 2 y = 0$ , $2 x - y = 4$
5893	Solve Using a Matrix by Elimination	x+y=11 , 5x+4y=49	$x + y = 11$ , $5 x + 4 y = 49$
5894	Solve Using a Matrix by Elimination	x+y=141 , x-y=29	$x + y = 141$ , $x - y = 29$
5895	Solve Using a Matrix by Elimination	x+y=15000 , 0.07x+0.09y=1230	$x + y = 15000$ , $0.07 x + 0.09 y = 1230$
5896	Solve Using a Matrix by Elimination	x+y=-2 , x-y=11	$x + y = - 2$ , $x - y = 11$
5897	Solve Using a Matrix by Elimination	x+y=5 , 2x-2y=2	$x + y = 5$ , $2 x - 2 y = 2$
5898	Solve Using a Matrix by Elimination	x+y=7 , 4x-3y+z=18	$x + y = 7$ , $4 x - 3 y + z = 18$
5899	Solve Using a Matrix by Elimination	x+y=8 , 4x-y=7	$x + y = 8$ , $4 x - y = 7$
5900	Solve Using a Matrix by Elimination	x+y=-8 , x-y=10	$x + y = - 8$ , $x - y = 10$