Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
17001	Solve by Substitution	2x+y+6z=3 , x-y+4z=1 , 3x+2y-2z=2	$2 x + y + 6 z = 3$ , $x - y + 4 z = 1$ , $3 x + 2 y - 2 z = 2$
17002	Solve by Substitution	2x+y=1 , 3x-2y=-23	$2 x + y = 1$ , $3 x - 2 y = - 23$
17003	Solve by Substitution	2x+y=10 , x+y=7 , x+2y=12	$2 x + y = 10$ , $x + y = 7$ , $x + 2 y = 12$
17004	Solve by Substitution	2x+y=10 , x+y=7 , x+2y=12 , x=0 , y=0	$2 x + y = 10$ , $x + y = 7$ , $x + 2 y = 12$ , $x = 0$ , $y = 0$
17005	Solve by Substitution	2x+y=101 , x+y=61	$2 x + y = 101$ , $x + y = 61$
17006	Solve by Substitution	2x+y=13 , x=0	$2 x + y = 13$ , $x = 0$
17007	Solve by Substitution	2x+y=14 , x+y=9	$2 x + y = 14$ , $x + y = 9$
17008	Solve by Substitution	2x+y=18 , 7x+4y=65	$2 x + y = 18$ , $7 x + 4 y = 65$
17009	Solve by Substitution	2x+y=4 , 3x-y=14	$2 x + y = 4$ , $3 x - y = 14$
17010	Solve by Substitution	2x+y=4 , -x+2y=4	$2 x + y = 4$ , $- x + 2 y = 4$
17011	Solve by Substitution	2x+y=5 , 4x+3y=11	$2 x + y = 5$ , $4 x + 3 y = 11$
17012	Solve by Substitution	2x+y=-6 , 2x-5y=12	$2 x + y = - 6$ , $2 x - 5 y = 12$
17013	Solve by Substitution	2x+y=6 , x+y=4	$2 x + y = 6$ , $x + y = 4$
17014	Solve by Substitution	2x+y=7 , 2x-2y=6	$2 x + y = 7$ , $2 x - 2 y = 6$
17015	Solve by Substitution	2x+y=8 , 8x+4y=12	$2 x + y = 8$ , $8 x + 4 y = 12$
17016	Solve by Substitution	2x+y=8 , x-3y=5	$2 x + y = 8$ , $x - 3 y = 5$
17017	Solve by Substitution	2a+y=95 , a+y=59	$2 a + y = 95$ , $a + y = 59$
17018	Solve by Substitution	2x+y=95 , x+y=76	$2 x + y = 95$ , $x + y = 76$
17019	Solve by Substitution	2x+y-3z=-2 , -2x+2y+z=-9 , 3x-4y-3z=15	$2 x + y - 3 z = - 2$ , $- 2 x + 2 y + z = - 9$ , $3 x - 4 y - 3 z = 15$
17020	Solve by Substitution	2x+y-7z=-15 , 4x+3y+5z=5 , x+y+6z=10	$2 x + y - 7 z = - 15$ , $4 x + 3 y + 5 z = 5$ , $x + y + 6 z = 10$
17021	Solve by Substitution	2x+y-z=3 , 3x-y+3z=3 , -x-3y+2z=3	$2 x + y - z = 3$ , $3 x - y + 3 z = 3$ , $- x - 3 y + 2 z = 3$
17022	Solve by Substitution	-2x-2y=4 , 2x-y=8	$- 2 x - 2 y = 4$ , $2 x - y = 8$
17023	Find the Inverse	[[1/5,1/2],[1/3,0]]	$[\begin{array}{c} \frac{1}{5} & \frac{1}{2} \\ \frac{1}{3} & 0 \end{array}]$
17024	Solve by Substitution	2x-3y=12-4x , 9x+9y=x+8y+26	$2 x - 3 y = 12 - 4 x$ , $9 x + 9 y = x + 8 y + 26$
17025	Solve by Substitution	2x-3y=15 , 5x+4y=3	$2 x - 3 y = 15$ , $5 x + 4 y = 3$
17026	Solve by Substitution	2x-3y=2 , 4x-6y=1	$2 x - 3 y = 2$ , $4 x - 6 y = 1$
17027	Solve by Substitution	2x-3y=-3 , 6x-9y=-9	$2 x - 3 y = - 3$ , $6 x - 9 y = - 9$
17028	Solve by Substitution	2x-3y=5 , 3x+4y=-1	$2 x - 3 y = 5$ , $3 x + 4 y = - 1$
17029	Solve by Substitution	2x-3y=-6 , 3y-9y=-18	$2 x - 3 y = - 6$ , $3 y - 9 y = - 18$
17030	Solve by Substitution	2x-3y=-7 , x+2y=7	$2 x - 3 y = - 7$ , $x + 2 y = 7$
17031	Solve by Substitution	2x-3y=-8 , 5x+3y=1	$2 x - 3 y = - 8$ , $5 x + 3 y = 1$
17032	Solve by Substitution	2x-3y=9 , 6x+9y=9	$2 x - 3 y = 9$ , $6 x + 9 y = 9$
17033	Solve by Substitution	2x-4y=18 , -3x+y=15	$2 x - 4 y = 18$ , $- 3 x + y = 15$
17034	Solve by Substitution	2x-4y=22 , 5x+3y=29	$2 x - 4 y = 22$ , $5 x + 3 y = 29$
17035	Solve by Substitution	2x-4y=26 , 5x+3y=26	$2 x - 4 y = 26$ , $5 x + 3 y = 26$
17036	Solve by Substitution	2x-4y=32 , 3x+7y=-4	$2 x - 4 y = 32$ , $3 x + 7 y = - 4$
17037	Solve by Substitution	10x+16y=6000 , 10x+8y=3600	$10 x + 16 y = 6000$ , $10 x + 8 y = 3600$
17038	Solve by Substitution	10x-2y=15 , x+4y=9	$10 x - 2 y = 15$ , $x + 4 y = 9$
17039	Solve by Substitution	10x-7y=-46 , -4x-5y=34	$10 x - 7 y = - 46$ , $- 4 x - 5 y = 34$
17040	Solve by Substitution	-11a-b+c=-3 , -5a+b+c=9 , 17a+b-c=-1	$- 11 a - b + c = - 3$ , $- 5 a + b + c = 9$ , $17 a + b - c = - 1$
17041	Solve by Substitution	-11a-b=-3 , -5a+b+c=9 , 17a-c=-1	$- 11 a - b = - 3$ , $- 5 a + b + c = 9$ , $17 a - c = - 1$
17042	Solve by Substitution	12=3u-2v , 8=7u+2v	$12 = 3 u - 2 v$ , $8 = 7 u + 2 v$
17043	Solve by Substitution	12x+4=0 , -84-28=0	$12 x + 4 = 0$ , $- 84 - 28 = 0$
17044	Solve by Substitution	12x+4y=0 , -84x-28y=0	$12 x + 4 y = 0$ , $- 84 x - 28 y = 0$
17045	Solve by Substitution	12x+5y=9 , 3x-8y=-18	$12 x + 5 y = 9$ , $3 x - 8 y = - 18$
17046	Solve by Substitution	12x-9y=33 , 8x-6y=22	$12 x - 9 y = 33$ , $8 x - 6 y = 22$
17047	Solve by Substitution	13=3x-y , 4y-3x+2z=-3 , z=2x-4y	$13 = 3 x - y$ , $4 y - 3 x + 2 z = - 3$ , $z = 2 x - 4 y$
17048	Solve by Substitution	1465x=26406.50 , 940x=17638 , x=22.50	$1465 x = 26406.5$ , $940 x = 17638$ , $x = 22.5$
17049	Solve by Substitution	14x-3y+5z=-15 , 3x+2y-6z=10 , 7x-y+4z=-5	$14 x - 3 y + 5 z = - 15$ , $3 x + 2 y - 6 z = 10$ , $7 x - y + 4 z = - 5$
17050	Solve by Substitution	-15x+5y=15 , 3x-y=0	$- 15 x + 5 y = 15$ , $3 x - y = 0$
17051	Solve by Substitution	16x-18y=4 , -40x+45y=11	$16 x - 18 y = 4$ , $- 40 x + 45 y = 11$
17052	Solve by Substitution	-17x-y-5z=4 , -18x-y+2z=3	$- 17 x - y - 5 z = 4$ , $- 18 x - y + 2 z = 3$
17053	Solve by Substitution	-180x-210y=-117000 , 60x+210y=111000	$- 180 x - 210 y = - 117000$ , $60 x + 210 y = 111000$
17054	Solve by Substitution	-18x-27y+6z=17 , 6x+9y-2z=-5	$- 18 x - 27 y + 6 z = 17$ , $6 x + 9 y - 2 z = - 5$
17055	Solve by Substitution	18x-2y=-6 , 3x+6y=48	$18 x - 2 y = - 6$ , $3 x + 6 y = 48$
17056	Solve by Substitution	19=1x+1y+1z , 15=1x+2y+0z , 13=1x+1y+1z	$19 = 1 x + 1 y + 1 z$ , $15 = 1 x + 2 y + 0 z$ , $13 = 1 x + 1 y + 1 z$
17057	Solve by Substitution	2n^-2+15n^-1+28=0 , u=n^-1	$2 n^{- 2} + 15 n^{- 1} + 28 = 0$ , $u = n^{- 1}$
17058	Solve by Substitution	2x^2+4x-y=6 , 2x-y=-6	$2 x^{2} + 4 x - y = 6$ , $2 x - y = - 6$
17059	Solve by Substitution	2x^2+xy=30 , x^2+xy=-6	$2 x^{2} + x y = 30$ , $x^{2} + x y = - 6$
17060	Solve by Substitution	2x^2-4y^2=8 , 5x^2+3y^2=32	$2 x^{2} - 4 y^{2} = 8$ , $5 x^{2} + 3 y^{2} = 32$
17061	Solve by Substitution	2+3y=-5 , x+4y=5	$2 + 3 y = - 5$ , $x + 4 y = 5$
17062	Solve by Substitution	-2=a(1)^2+b(1)+c , -2=a(1)^2+b(1)+c , -4=a(3)^2+b(3)+c	$- 2 = a {(1)}^{2} + b (1) + c$ , $- 2 = a {(1)}^{2} + b (1) + c$ , $- 4 = a {(3)}^{2} + b (3) + c$
17063	Solve by Substitution	20x^2-2y=0 , 30y^2-2x=0	$20 x^{2} - 2 y = 0$ , $30 y^{2} - 2 x = 0$
17064	Solve by Substitution	20x+20y=15.20 , 30x+12y=14.52	$20 x + 20 y = 15.2$ , $30 x + 12 y = 14.52$
17065	Solve by Substitution	20x+25y=45 , 8x+10y=18	$20 x + 25 y = 45$ , $8 x + 10 y = 18$
17066	Solve by Substitution	20x+30y=21.80 , 30x+12y=17.52	$20 x + 30 y = 21.8$ , $30 x + 12 y = 17.52$
17067	Solve by Substitution	-22=4a-2b+c , 6=4a+2b+c , -16=8a+2c	$- 22 = 4 a - 2 b + c$ , $6 = 4 a + 2 b + c$ , $- 16 = 8 a + 2 c$
17068	Solve by Substitution	-24x+21y-6z=-12 , 8x-7y+2z=4	$- 24 x + 21 y - 6 z = - 12$ , $8 x - 7 y + 2 z = 4$
17069	Solve by Substitution	24x-5y=-29 , 6x+7y=67	$24 x - 5 y = - 29$ , $6 x + 7 y = 67$
17070	Solve by Substitution	25x+24=y , 10x+99=y	$25 x + 24 = y$ , $10 x + 99 = y$
17071	Solve by Substitution	2m-n=10 , m-2n=-4	$2 m - n = 10$ , $m - 2 n = - 4$
17072	Solve by Substitution	2s+3t=6 , 5s+10t=20	$2 s + 3 t = 6$ , $5 s + 10 t = 20$
17073	Solve by Substitution	2x1+3x2-x3+3x4+x5=176 , 3x1+x2-4x3+3x4-x5=0 , x1+x2+3x3-4x4+2x5=48 , x1+2x2-3x3+2x4-2x5=-48	$2 x \cdot 1 + 3 x \cdot 2 - x \cdot 3 + 3 x \cdot 4 + x \cdot 5 = 176$ , $3 x \cdot 1 + x \cdot 2 - 4 x \cdot 3 + 3 x \cdot 4 - x \cdot 5 = 0$ , $x \cdot 1 + x \cdot 2 + 3 x \cdot 3 - 4 x \cdot 4 + 2 x \cdot 5 = 48$ , $x \cdot 1 + 2 x \cdot 2 - 3 x \cdot 3 + 2 x \cdot 4 - 2 x \cdot 5 = - 48$
17074	Solve by Substitution	2x1-2x2+5x3=-15 , 4x1+20x2-54x3=74 , x1+3x2-8x*3=10	$2 x \cdot 1 - 2 x \cdot 2 + 5 x \cdot 3 = - 15$ , $4 x \cdot 1 + 20 x \cdot 2 - 54 x \cdot 3 = 74$ , $x \cdot 1 + 3 x \cdot 2 - 8 x \cdot 3 = 10$
17075	Solve by Substitution	2x1-4x2=-4 , -3x1+6x2=4	$2 x \cdot 1 - 4 x \cdot 2 = - 4$ , $- 3 x \cdot 1 + 6 x \cdot 2 = 4$
17076	Solve by Substitution	2x+11y=8 , 3x-11y=12	$2 x + 11 y = 8$ , $3 x - 11 y = 12$
17077	Solve by Substitution	2x+16y=8 , 2x-16y=8	$2 x + 16 y = 8$ , $2 x - 16 y = 8$
17078	Solve by Substitution	2x+2y=3 , -x+2y=1 , slope=4
17079	Solve by Substitution	2x+3y=-14 , 4x-2y=27	$2 x + 3 y = - 14$ , $4 x - 2 y = 27$
17080	Solve by Substitution	2x+3y=17 , 3x-2y=-7	$2 x + 3 y = 17$ , $3 x - 2 y = - 7$
17081	Solve by Substitution	2x+3y=2 , x+4y=6 , 5x+ky=2	$2 x + 3 y = 2$ , $x + 4 y = 6$ , $5 x + k y = 2$
17082	Solve by Substitution	2x+3y=-5 , 3x+2y=12	$2 x + 3 y = - 5$ , $3 x + 2 y = 12$
17083	Solve by Substitution	2x+3y=-5 , 3x-4y=1	$2 x + 3 y = - 5$ , $3 x - 4 y = 1$
17084	Solve by Substitution	2x+3y=6 , 3x-2y=8	$2 x + 3 y = 6$ , $3 x - 2 y = 8$
17085	Solve by Substitution	2x+3y=-7 , -3x-7y=8	$2 x + 3 y = - 7$ , $- 3 x - 7 y = 8$
17086	Solve by Substitution	2x+3y=7 , 6x-y=1	$2 x + 3 y = 7$ , $6 x - y = 1$
17087	Solve by Substitution	2x+3y=7 , -8x-y=5	$2 x + 3 y = 7$ , $- 8 x - y = 5$
17088	Solve by Substitution	x^2-4y^2+7=0 , 3x^2+y^2=31	$x^{2} - 4 y^{2} + 7 = 0$ , $3 x^{2} + y^{2} = 31$
17089	Solve by Substitution	x^2+y^2=104 , x-y=8	$x^{2} + y^{2} = 104$ , $x - y = 8$
17090	Solve by Substitution	x^2+y^2=193 , x-y=5	$x^{2} + y^{2} = 193$ , $x - y = 5$
17091	Solve by Substitution	x^2+y^2=27 , x^2-y^2=9	$x^{2} + y^{2} = 27$ , $x^{2} - y^{2} = 9$
17092	Solve by Substitution	x^2+y^2=36 , x+y=4	$x^{2} + y^{2} = 36$ , $x + y = 4$
17093	Solve by Substitution	x^2+y^2=41 , x+y=9	$x^{2} + y^{2} = 41$ , $x + y = 9$
17094	Solve by Substitution	x^2+y^2=61 , x+y=11	$x^{2} + y^{2} = 61$ , $x + y = 11$
17095	Solve by Substitution	x^2+y^2=73 , x-y=5	$x^{2} + y^{2} = 73$ , $x - y = 5$
17096	Solve by Substitution	x^2+y^2=8 , x+y=0	$x^{2} + y^{2} = 8$ , $x + y = 0$
17097	Solve by Substitution	x^2+y^2=9 , (x-3)^2+(y+3)^2=9	$x^{2} + y^{2} = 9$ , ${(x - 3)}^{2} + {(y + 3)}^{2} = 9$
17098	Solve by Substitution	x^2+y^2=9 , 2x^2-y^2=3	$x^{2} + y^{2} = 9$ , $2 x^{2} - y^{2} = 3$
17099	Solve by Substitution	x^2+13x+36=0 , -x^2-4x+2=0 , h=-16t^2+32t+5 , 2x^2+2x-5=0	$x^{2} + 13 x + 36 = 0$ , $- x^{2} - 4 x + 2 = 0$ , $h = - 16 t^{2} + 32 t + 5$ , $2 x^{2} + 2 x - 5 = 0$
17100	Solve by Substitution	x^2+4y^2=20 , 2x-3y-2=0	$x^{2} + 4 y^{2} = 20$ , $2 x - 3 y - 2 = 0$