Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
4801	Solve by Substitution	x+y+z=5 , x-y+3z=1 , x+3y-z=8	$x + y + z = 5$ , $x - y + 3 z = 1$ , $x + 3 y - z = 8$
4802	Solve by Substitution	x+y=1 , y=x^2-29	$x + y = 1$ , $y = x^{2} - 29$
4803	Solve by Substitution	x+y+z=23 , x=y	$x + y + z = 23$ , $x = y$
4804	Solve by Substitution	x+y+2z=11 , x+y+3z=14 , x+2y-z=5	$x + y + 2 z = 11$ , $x + y + 3 z = 14$ , $x + 2 y - z = 5$
4805	Solve by Substitution	x+y=1 , x^2+xy-y^2=-11	$x + y = 1$ , $x^{2} + x y - y^{2} = - 11$
4806	Solve by Substitution	x+y=2 , 3x-y=6	$x + y = 2$ , $3 x - y = 6$
4807	Solve by Substitution	5x+4y=2 , 6x+5y=4	$5 x + 4 y = 2$ , $6 x + 5 y = 4$
4808	Solve by Substitution	9x^2+16y^2=144 , 4y+3x=12	$9 x^{2} + 16 y^{2} = 144$ , $4 y + 3 x = 12$
4809	Solve by Substitution	x-y^2=0 , y-x^2=0	$x - y^{2} = 0$ , $y - x^{2} = 0$
4810	Solve by Substitution	-9a=4 , 9a+9c=6 , 2b+8c=15	$- 9 a = 4$ , $9 a + 9 c = 6$ , $2 b + 8 c = 15$
4811	Solve by Substitution	x+2y+2z=-2 , 2x-2y-z=-5 , x+4y+2z=0	$x + 2 y + 2 z = - 2$ , $2 x - 2 y - z = - 5$ , $x + 4 y + 2 z = 0$
4812	Solve by Substitution	QA=a-PA+bPB , QB=a-PB+bPA	$Q A = a - P A + b P B$ , $Q B = a - P B + b P A$
4813	Solve by Substitution	8x+2y=10 , -8x+ky=-9	$8 x + 2 y = 10$ , $- 8 x + k y = - 9$
4814	Solve by Substitution	4x-3y=15 , 2x+y=5	$4 x - 3 y = 15$ , $2 x + y = 5$
4815	Solve by Substitution	x+2y+z=7 , x-2y-4z=0 , 2x-y+4z=-3	$x + 2 y + z = 7$ , $x - 2 y - 4 z = 0$ , $2 x - y + 4 z = - 3$
4816	Solve by Substitution	x+4y=4 , -x-4y=4	$x + 4 y = 4$ , $- x - 4 y = 4$
4817	Solve by Substitution	x+y+1=0 , x^2+y^2+3y-2x=-2	$x + y + 1 = 0$ , $x^{2} + y^{2} + 3 y - 2 x = - 2$
4818	Solve by Substitution	x+y+1=0 , x^2+y^2+6y-x=-5	$x + y + 1 = 0$ , $x^{2} + y^{2} + 6 y - x = - 5$
4819	Solve by Substitution	x+2y=3 , 2x+4y=1	$x + 2 y = 3$ , $2 x + 4 y = 1$
4820	Solve by Substitution	x+8y=8 , 2x-9y=-9	$x + 8 y = 8$ , $2 x - 9 y = - 9$
4821	Solve by Substitution	x+3y=9 , 4x+12y=36	$x + 3 y = 9$ , $4 x + 12 y = 36$
4822	Solve by Substitution	x+2y=3 , -x-y=-5	$x + 2 y = 3$ , $- x - y = - 5$
4823	Solve by Substitution	x+2y+z-w=-2 , 2x+y+z+w=1 , x-y-3z=0 , z+w=1	$x + 2 y + z - w = - 2$ , $2 x + y + z + w = 1$ , $x - y - 3 z = 0$ , $z + w = 1$
4824	Solve by Substitution	x+2y=10 , 5x+10y=50	$x + 2 y = 10$ , $5 x + 10 y = 50$
4825	Solve by Substitution	x+2y=10 , 7x+14y=70	$x + 2 y = 10$ , $7 x + 14 y = 70$
4826	Solve by Substitution	x+2y=10 , y=4x-4	$x + 2 y = 10$ , $y = 4 x - 4$
4827	Solve by Substitution	x+3y=0 , 20x-15y=75	$x + 3 y = 0$ , $20 x - 15 y = 75$
4828	Solve by Substitution	x+3y=5 , x^2+y^2=25	$x + 3 y = 5$ , $x^{2} + y^{2} = 25$
4829	Solve by Substitution	x^2+y=9 , x-y+3=0	$x^{2} + y = 9$ , $x - y + 3 = 0$
4830	Solve by Substitution	x^2+y^2=25 , y^2-3x=25	$x^{2} + y^{2} = 25$ , $y^{2} - 3 x = 25$
4831	Solve by Substitution	4x^2+3y^2=48 , 3x^2-5x^2=7	$4 x^{2} + 3 y^{2} = 48$ , $3 x^{2} - 5 x^{2} = 7$
4832	Solve by Substitution	3x-5y+z=9 , x-3y-2z=-8 , 5x-6y+3z=15	$3 x - 5 y + z = 9$ , $x - 3 y - 2 z = - 8$ , $5 x - 6 y + 3 z = 15$
4833	Solve by Substitution	4x+4y+3z=6 , 4x+7y+5z=5 , 5x+3y+3z=7	$4 x + 4 y + 3 z = 6$ , $4 x + 7 y + 5 z = 5$ , $5 x + 3 y + 3 z = 7$
4834	Solve by Substitution	4x-y+5z=-6 , 3x+3y-4z=30 , 6x+2y-3z=33	$4 x - y + 5 z = - 6$ , $3 x + 3 y - 4 z = 30$ , $6 x + 2 y - 3 z = 33$
4835	Solve by Substitution	-5x+2y=-4 , 10x+6y=3	$- 5 x + 2 y = - 4$ , $10 x + 6 y = 3$
4836	Solve by Substitution	a-b=-1 , 2a+3b=-7	$a - b = - 1$ , $2 a + 3 b = - 7$
4837	Solve by Substitution	2x+3y+z=9 , x+2y+3z=6 , 3x+y+2z=8	$2 x + 3 y + z = 9$ , $x + 2 y + 3 z = 6$ , $3 x + y + 2 z = 8$
4838	Solve by Substitution	x^2-y^2=21 , x+y=7	$x^{2} - y^{2} = 21$ , $x + y = 7$
4839	Solve by Substitution	x^2+2xy-y^2=68 , x^2-y^2=-28	$x^{2} + 2 x y - y^{2} = 68$ , $x^{2} - y^{2} = - 28$
4840	Solve by Substitution	-2x-9y-z=-20 , -4x-6y-2z=-16 , 3x+9y+z=22	$- 2 x - 9 y - z = - 20$ , $- 4 x - 6 y - 2 z = - 16$ , $3 x + 9 y + z = 22$
4841	Solve by Substitution	y=8-3x , 9x+3y=24	$y = 8 - 3 x$ , $9 x + 3 y = 24$
4842	Solve by Substitution	y=3x+6 , y=5x+7	$y = 3 x + 6$ , $y = 5 x + 7$
4843	Solve by Substitution	y=x^2-3x+2 , y=5x-10	$y = x^{2} - 3 x + 2$ , $y = 5 x - 10$
4844	Solve by Substitution	y=3x-15 , x^2+y^2=145	$y = 3 x - 15$ , $x^{2} + y^{2} = 145$
4845	Solve by Substitution	y=x+1 , 4x^2+y^2=1	$y = x + 1$ , $4 x^{2} + y^{2} = 1$
4846	Solve by Substitution	y=x+6 , 9x^2+y^2=36	$y = x + 6$ , $9 x^{2} + y^{2} = 36$
4847	Solve by Substitution	y=3x-9 , y=x^2-7	$y = 3 x - 9$ , $y = x^{2} - 7$
4848	Solve by Substitution	y=x+3 , 4x^2+y^2=9	$y = x + 3$ , $4 x^{2} + y^{2} = 9$
4849	Solve by Substitution	y=x+4 , 11x^2+y^2=16	$y = x + 4$ , $11 x^{2} + y^{2} = 16$
4850	Solve by Substitution	y-2z=0 , 2x+3y=2 , -x-2y+z=-1	$y - 2 z = 0$ , $2 x + 3 y = 2$ , $- x - 2 y + z = - 1$
4851	Solve by Substitution	y-3z=0 , 3x+2y=12 , -x-2y+4z=-4	$y - 3 z = 0$ , $3 x + 2 y = 12$ , $- x - 2 y + 4 z = - 4$
4852	Solve by Substitution	y-x=5 , 8x^2-13x-y=9	$y - x = 5$ , $8 x^{2} - 13 x - y = 9$
4853	Solve by Substitution	-3/5(Fac)+12/13(2.6)=0 , Fbc-5/132.6-4/54=0	$- \frac{3}{5} \cdot (F a c) + \frac{12}{13} \cdot (2.6) = 0$ , $F b c - \frac{5}{13} \cdot 2.6 - \frac{4}{5} \cdot 4 = 0$
4854	Solve by Substitution	y=x^2 , y=x+30	$y = x^{2}$ , $y = x + 30$
4855	Solve by Substitution	y=x^2-13 , x^2+y^2=25	$y = x^{2} - 13$ , $x^{2} + y^{2} = 25$
4856	Solve by Substitution	y=x^2-3x-4 , y=5x+11	$y = x^{2} - 3 x - 4$ , $y = 5 x + 11$
4857	Solve by Substitution	y=x^2-4x-10 , y=-x^2-2x+14	$y = x^{2} - 4 x - 10$ , $y = - x^{2} - 2 x + 14$
4858	Solve by Substitution	y=2x-5 , x^2+y^2=10	$y = 2 x - 5$ , $x^{2} + y^{2} = 10$
4859	Solve by Substitution	xy=7 , x^2+y^2=50	$x y = 7$ , $x^{2} + y^{2} = 50$
4860	Solve by Substitution	xy=7 , 7x^2+y^2=56	$x y = 7$ , $7 x^{2} + y^{2} = 56$
4861	Solve by Substitution	y+x^2=7x , y+7x=49	$y + x^{2} = 7 x$ , $y + 7 x = 49$
4862	Solve by Substitution	y+x=9 , 3y=2x+8	$y + x = 9$ , $3 y = 2 x + 8$
4863	Solve by Substitution	xy=18 , 3x-y=-3	$x y = 18$ , $3 x - y = - 3$
4864	Solve by Substitution	xy=45 , 3x-y=-6	$x y = 45$ , $3 x - y = - 6$
4865	Solve by Substitution	xy=5 , 5x^2+y^2=30	$x y = 5$ , $5 x^{2} + y^{2} = 30$
4866	Solve by Substitution	y=-1/2x+18 , y=-x+20	$y = - \frac{1}{2} x + 18$ , $y = - x + 20$
4867	Solve by Substitution	y=(2x+10) , y=(8x-40)	$y = (2 x + 10)$ , $y = (8 x - 40)$
4868	Solve by Substitution	y=(x-3)^2+9 , (x-3)^2+(y-9)^2=30	$y = {(x - 3)}^{2} + 9$ , ${(x - 3)}^{2} + {(y - 9)}^{2} = 30$
4869	Solve by Substitution	x-3y=4 , 5x+y=-8	$x - 3 y = 4$ , $5 x + y = - 8$
4870	Solve by Substitution	x-3y+4z=-3 , 3x+y-z=4 , -2x+2y+3z=-5	$x - 3 y + 4 z = - 3$ , $3 x + y - z = 4$ , $- 2 x + 2 y + 3 z = - 5$
4871	Solve by Substitution	xy-x^2=-20 , x-2y=3	$x y - x^{2} = - 20$ , $x - 2 y = 3$
4872	Solve by Substitution	x-y=1 , x^2-xy-y^2=-29	$x - y = 1$ , $x^{2} - x y - y^{2} = - 29$
4873	Solve by Substitution	xy=12 , x+y=-7	$x y = 12$ , $x + y = - 7$
4874	Solve by Substitution	xy=20 , 2x-y=-6	$x y = 20$ , $2 x - y = - 6$
4875	Solve by Substitution	xy=11 , 2y^2-x^2=11	$x y = 11$ , $2 y^{2} - x^{2} = 11$
4876	Solve by Substitution	xy=30 , 2x-y=-4	$x y = 30$ , $2 x - y = - 4$
4877	Solve by Substitution	x-y=-4 , x^2-y=-6	$x - y = - 4$ , $x^{2} - y = - 6$
4878	Solve by Addition/Elimination	2x+y-3z=1 , 4x+2z=6 , -2x+3y-13z=-9	$2 x + y - 3 z = 1$ , $4 x + 2 z = 6$ , $- 2 x + 3 y - 13 z = - 9$
4879	Solve by Addition/Elimination	2px+2py=26 , px^2+py^2=89p	$2 p x + 2 p y = 26$ , $p x^{2} + p y^{2} = 89 p$
4880	Solve by Addition/Elimination	2x-2y+7z=9 , 2x+y-2z=-1 , 10x-y-7z=0	$2 x - 2 y + 7 z = 9$ , $2 x + y - 2 z = - 1$ , $10 x - y - 7 z = 0$
4881	Solve by Addition/Elimination	2x+8y+10z=112 , x+4y+5z=-28 , x+y+z=-4	$2 x + 8 y + 10 z = 112$ , $x + 4 y + 5 z = - 28$ , $x + y + z = - 4$
4882	Solve by Addition/Elimination	2x-4x+z=8 , 3x+3y+4z=20 , 5x+y-3z=-13	$2 x - 4 x + z = 8$ , $3 x + 3 y + 4 z = 20$ , $5 x + y - 3 z = - 13$
4883	Solve by Addition/Elimination	2x-4y=4 , 10x-20y=8	$2 x - 4 y = 4$ , $10 x - 20 y = 8$
4884	Solve by Addition/Elimination	-2x-y+2z=19 , 2x-2y+z=-10 , x=-4	$- 2 x - y + 2 z = 19$ , $2 x - 2 y + z = - 10$ , $x = - 4$
4885	Solve by Addition/Elimination	2x+1y-5z=-29 , 6x+4y-z=-19 , x+y+3z=12	$2 x + 1 y - 5 z = - 29$ , $6 x + 4 y - z = - 19$ , $x + y + 3 z = 12$
4886	Solve by Addition/Elimination	2x^2+4y=13 , x^2-y^2=7/2	$2 x^{2} + 4 y = 13$ , $x^{2} - y^{2} = \frac{7}{2}$
4887	Solve by Addition/Elimination	2x^2+xy-y^2=3 , x^2+2xy+y^2=3	$2 x^{2} + x y - y^{2} = 3$ , $x^{2} + 2 x y + y^{2} = 3$
4888	Solve by Addition/Elimination	16x^2+4y^2=64 , y=x^2-4	$16 x^{2} + 4 y^{2} = 64$ , $y = x^{2} - 4$
4889	Solve by Addition/Elimination	x^4+y^3=264 , 3x^4+5y^3=808	$x^{4} + y^{3} = 264$ , $3 x^{4} + 5 y^{3} = 808$
4890	Solve by Addition/Elimination	x^2+y=6 , e^x-y=0	$x^{2} + y = 6$ , $e^{x} - y = 0$
4891	Solve by Addition/Elimination	10x-7y=8 , 2x-37=-8	$10 x - 7 y = 8$ , $2 x - 37 = - 8$
4892	Solve by Addition/Elimination	3x^2+3y^2=3 , x^2-3y^2=33	$3 x^{2} + 3 y^{2} = 3$ , $x^{2} - 3 y^{2} = 33$
4893	Solve by Addition/Elimination	3x+2y-z=-11 , 2x-3y=-1 , 4x+5y=-13	$3 x + 2 y - z = - 11$ , $2 x - 3 y = - 1$ , $4 x + 5 y = - 13$
4894	Solve by Addition/Elimination	3x+y=5 , 4.5y=c+9x	$3 x + y = 5$ , $4.5 y = c + 9 x$
4895	Solve by Addition/Elimination	3x+7y-z=-5 , 9x-y-4z=17 , 5x-12y-z=0	$3 x + 7 y - z = - 5$ , $9 x - y - 4 z = 17$ , $5 x - 12 y - z = 0$
4896	Solve by Addition/Elimination	4x+2y+3z=11 , 3x+y+2z=7 , 4x+3y+4z=14	$4 x + 2 y + 3 z = 11$ , $3 x + y + 2 z = 7$ , $4 x + 3 y + 4 z = 14$
4897	Solve by Addition/Elimination	3x-3y+6z=27 , 3x+y-3z=-11 , 47x-y-6z=0	$3 x - 3 y + 6 z = 27$ , $3 x + y - 3 z = - 11$ , $47 x - y - 6 z = 0$
4898	Solve by Addition/Elimination	2x+y=4 , 3x-y=14	$2 x + y = 4$ , $3 x - y = 14$
4899	Solve by Addition/Elimination	4x-8y+6z=12 , -8x+16y-12z=-22 , 8x-16y+12z=22	$4 x - 8 y + 6 z = 12$ , $- 8 x + 16 y - 12 z = - 22$ , $8 x - 16 y + 12 z = 22$
4900	Solve by Addition/Elimination	x^2+y^2=13 , x^2-y^2=5	$x^{2} + y^{2} = 13$ , $x^{2} - y^{2} = 5$