Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
27801	Solve by Graphing	x^2+y^2=81 , y=x-4	$x^{2} + y^{2} = 81$ , $y = x - 4$
27802	Solve by Graphing	x^2+2xy+y^2=36 , x^2-xy=0	$x^{2} + 2 x y + y^{2} = 36$ , $x^{2} - x y = 0$
27803	Solve by Graphing	x^2+y=5 , x-2y=0	$x^{2} + y = 5$ , $x - 2 y = 0$
27804	Solve by Graphing	y=(-32x^2)/(160^2)+x , y^2=100	$y = \frac{- 32 x^{2}}{160^{2}} + x$ , $y^{2} = 100$
27805	Solve by Graphing	y^2+31y+x^2-4x-32=0 , y+31+(4x-32)/y=0	$y^{2} + 31 y + x^{2} - 4 x - 32 = 0$ , $y + 31 + \frac{4 x - 32}{y} = 0$
27806	Solve by Graphing	-12x-y=40 , y=x^2-8	$- 12 x - y = 40$ , $y = x^{2} - 8$
27807	Solve by Graphing	2x^2-5y^2=-62 , 3x^2+3y^2=75	$2 x^{2} - 5 y^{2} = - 62$ , $3 x^{2} + 3 y^{2} = 75$
27808	Solve by Graphing	-2=x-2y , 16=2x+y , -4=x+2y	$- 2 = x - 2 y$ , $16 = 2 x + y$ , $- 4 = x + 2 y$
27809	Solve by Graphing	2x+3y=11 , 3x+3y=18	$2 x + 3 y = 11$ , $3 x + 3 y = 18$
27810	Solve by Graphing	2x+3y=6 , x-y=3 , y=2	$2 x + 3 y = 6$ , $x - y = 3$ , $y = 2$
27811	Solve by Graphing	2x+y=3 , x+3y=-6	$2 x + y = 3$ , $x + 3 y = - 6$
27812	Solve by Graphing	2x-3y=-1 , -6x+9y=3	$2 x - 3 y = - 1$ , $- 6 x + 9 y = 3$
27813	Solve by Graphing	2x-7y=28 , y=2/7x-4	$2 x - 7 y = 28$ , $y = \frac{2}{7} x - 4$
27814	Solve by Graphing	2x-8y=32 , y=1/4x-4	$2 x - 8 y = 32$ , $y = \frac{1}{4} x - 4$
27815	Solve by Graphing	2x-y=-5 , 2x+y=-3	$2 x - y = - 5$ , $2 x + y = - 3$
27816	Solve by Graphing	3x^2+30x-y=-23 , -x^2+6x-y=-3	$3 x^{2} + 30 x - y = - 23$ , $- x^{2} + 6 x - y = - 3$
27817	Solve by Graphing	3y^2-5x^2=8 , 3y^2-x^2=24	$3 y^{2} - 5 x^{2} = 8$ , $3 y^{2} - x^{2} = 24$
27818	Solve by Graphing	3x+5y=-23 , 4x+2y=-12	$3 x + 5 y = - 23$ , $4 x + 2 y = - 12$
27819	Solve by Graphing	3x-4y=24 , -x+4/3y=9	$3 x - 4 y = 24$ , $- x + \frac{4}{3} y = 9$
27820	Solve by Graphing	3x-5y=-8 , x+2y=1	$3 x - 5 y = - 8$ , $x + 2 y = 1$
27821	Solve by Graphing	3x-y=8 , 4x+y=6	$3 x - y = 8$ , $4 x + y = 6$
27822	Solve by Graphing	3y-x=3 , y+4x=-1	$3 y - x = 3$ , $y + 4 x = - 1$
27823	Solve by Graphing	4x-3y=-12 , x=-3+3/4y	$4 x - 3 y = - 12$ , $x = - 3 + \frac{3}{4} y$
27824	Solve by Graphing	4x-y=8 , -4+2x=1/2y	$4 x - y = 8$ , $- 4 + 2 x = \frac{1}{2} y$
27825	Solve by Graphing	5x-3y=15 , 3x+3y=9	$5 x - 3 y = 15$ , $3 x + 3 y = 9$
27826	Solve by Graphing	5x-5y=8 , 2x+5y=6	$5 x - 5 y = 8$ , $2 x + 5 y = 6$
27827	Solve by Graphing	5x-9y=63 , 5x=9y+63	$5 x - 9 y = 63$ , $5 x = 9 y + 63$
27828	Solve by Graphing	9x+10y=-1 , 36x-40y=5	$9 x + 10 y = - 1$ , $36 x - 40 y = 5$
27829	Solve by Graphing	x+2y-6=0 , -x-2y=-6	$x + 2 y - 6 = 0$ , $- x - 2 y = - 6$
27830	Solve by Graphing	x+y=1 , x-2y=4	$x + y = 1$ , $x - 2 y = 4$
27831	Solve by Graphing	-x+y=3 , x^2-6x-27+y^2=0	$- x + y = 3$ , $x^{2} - 6 x - 27 + y^{2} = 0$
27832	Solve by Graphing	x+y=5 , 3x-y=3	$x + y = 5$ , $3 x - y = 3$
27833	Solve by Graphing	x-3y=12 , -4x-3y=12	$x - 3 y = 12$ , $- 4 x - 3 y = 12$
27834	Solve by Graphing	x-4y=-20 , 5x-4y=-20	$x - 4 y = - 20$ , $5 x - 4 y = - 20$
27835	Solve by Graphing	x-4y=4 , -x+4y=-4	$x - 4 y = 4$ , $- x + 4 y = - 4$
27836	Solve by Graphing	x-4y=-8 , 3x-2y=6	$x - 4 y = - 8$ , $3 x - 2 y = 6$
27837	Solve by Graphing	y=1/3x+3 , 2y=2/3x+6	$y = \frac{1}{3} x + 3$ , $2 y = \frac{2}{3} x + 6$
27838	Solve by Graphing	y=-1/3x-1 , -x-3y=3	$y = - \frac{1}{3} x - 1$ , $- x - 3 y = 3$
27839	Solve by Graphing	y=1/3x-2 , -2x+y=-7	$y = \frac{1}{3} x - 2$ , $- 2 x + y = - 7$
27840	Solve by Graphing	y=1/3x-3 , 2x+y=4	$y = \frac{1}{3} x - 3$ , $2 x + y = 4$
27841	Solve by Graphing	y=1/3x-4 , y=x-2	$y = \frac{1}{3} x - 4$ , $y = x - 2$
27842	Solve by Graphing	y=-1/4x+2 , x+4y=4	$y = - \frac{1}{4} x + 2$ , $x + 4 y = 4$
27843	Solve by Graphing	y=1/4x+2 , 2x+y=-7	$y = \frac{1}{4} x + 2$ , $2 x + y = - 7$
27844	Solve by Graphing	y=1/4x-2 , -2x+y=5	$y = \frac{1}{4} x - 2$ , $- 2 x + y = 5$
27845	Solve by Graphing	x+y=3 , 2x-y=0	$x + y = 3$ , $2 x - y = 0$
27846	Solve by Graphing	x+y=3 , x-y=3	$x + y = 3$ , $x - y = 3$
27847	Solve by Graphing	x+y=3 , x-y=5	$x + y = 3$ , $x - y = 5$
27848	Solve by Graphing	x+y=-3 , y=x-5	$x + y = - 3$ , $y = x - 5$
27849	Solve Using a Matrix with Cramer's Rule	x-2y+2z=0 , x+4y-5z=0 , 4x-8y+8z=0	$x - 2 y + 2 z = 0$ , $x + 4 y - 5 z = 0$ , $4 x - 8 y + 8 z = 0$
27850	Solve Using a Matrix with Cramer's Rule	x-2y+3z=0 , 3x+3y-2z=0 , 2x-4y+6z=0	$x - 2 y + 3 z = 0$ , $3 x + 3 y - 2 z = 0$ , $2 x - 4 y + 6 z = 0$
27851	Solve Using a Matrix with Cramer's Rule	x-2y+3z=0 , 4x+3y-3z=0 , 2x-4y+6=0	$x - 2 y + 3 z = 0$ , $4 x + 3 y - 3 z = 0$ , $2 x - 4 y + 6 = 0$
27852	Solve Using a Matrix with Cramer's Rule	x-2y+3z=-2 , 2x+y-4z=6 , -3x+4y-z=-2	$x - 2 y + 3 z = - 2$ , $2 x + y - 4 z = 6$ , $- 3 x + 4 y - z = - 2$
27853	Solve Using a Matrix with Cramer's Rule	x-2y+3z=5 , -2x+y+4z=21 , 3x-5y+z=-14	$x - 2 y + 3 z = 5$ , $- 2 x + y + 4 z = 21$ , $3 x - 5 y + z = - 14$
27854	Solve Using a Matrix with Cramer's Rule	x-2y+3z=6 , 2x+y+z=2 , -2x+4y-6z=-12	$x - 2 y + 3 z = 6$ , $2 x + y + z = 2$ , $- 2 x + 4 y - 6 z = - 12$
27855	Solve Using a Matrix with Cramer's Rule	x-2y+5z=3 , -2x+6y-11z=-1 , 3x-16y+20z=-16	$x - 2 y + 5 z = 3$ , $- 2 x + 6 y - 11 z = - 1$ , $3 x - 16 y + 20 z = - 16$
27856	Solve Using a Matrix with Cramer's Rule	x-2y+z=0 , 3x+3y-2z=0 , 2x-4y+2z=0	$x - 2 y + z = 0$ , $3 x + 3 y - 2 z = 0$ , $2 x - 4 y + 2 z = 0$
27857	Solve Using a Matrix with Cramer's Rule	x-2y+z=1 , y+2z=5 , x+y+3z=8	$x - 2 y + z = 1$ , $y + 2 z = 5$ , $x + y + 3 z = 8$
27858	Solve Using a Matrix with Cramer's Rule	x-2y+z=4 , 3x-5y-17z=3 , 2x-6y+43z=-5	$x - 2 y + z = 4$ , $3 x - 5 y - 17 z = 3$ , $2 x - 6 y + 43 z = - 5$
27859	Solve Using a Matrix with Cramer's Rule	-x-2y+z=4 , -5x-5y+5z=6 , 2x-3y-5z=-5	$- x - 2 y + z = 4$ , $- 5 x - 5 y + 5 z = 6$ , $2 x - 3 y - 5 z = - 5$
27860	Solve Using a Matrix with Cramer's Rule	x-2y=11/2 , 4x+2y=10	$x - 2 y = \frac{11}{2}$ , $4 x + 2 y = 10$
27861	Solve Using a Matrix with Cramer's Rule	x-2y=-20/3 , 4x+y=4/3	$x - 2 y = - \frac{20}{3}$ , $4 x + y = \frac{4}{3}$
27862	Solve Using a Matrix with Cramer's Rule	x-2y=-26/5 , x+3y=-36/5	$x - 2 y = - \frac{26}{5}$ , $x + 3 y = - \frac{36}{5}$
27863	Solve Using a Matrix with Cramer's Rule	x-2y=-3/4 , 4x+3y=2	$x - 2 y = - \frac{3}{4}$ , $4 x + 3 y = 2$
27864	Solve Using a Matrix with Cramer's Rule	x-2y=-5 , -2x-5y=-8	$x - 2 y = - 5$ , $- 2 x - 5 y = - 8$
27865	Solve Using a Matrix with Cramer's Rule	x-2y=7 , 4x-8y=28	$x - 2 y = 7$ , $4 x - 8 y = 28$
27866	Solve Using a Matrix with Cramer's Rule	x-2y-z=4 , -x+6y-3z=-12 , 2x-11y+5z=22	$x - 2 y - z = 4$ , $- x + 6 y - 3 z = - 12$ , $2 x - 11 y + 5 z = 22$
27867	Solve Using a Matrix with Cramer's Rule	x-3y+z=0 , x+2y-4z=0 , 2x-6y+2z=0	$x - 3 y + z = 0$ , $x + 2 y - 4 z = 0$ , $2 x - 6 y + 2 z = 0$
27868	Solve Using a Matrix with Cramer's Rule	x-3y+z=-3 , 2x+y-z=5 , y+z=3	$x - 3 y + z = - 3$ , $2 x + y - z = 5$ , $y + z = 3$
27869	Solve Using a Matrix with Cramer's Rule	x-3y+z=-7 , -4x-6z=4 , 2x+3y+z=4	$x - 3 y + z = - 7$ , $- 4 x - 6 z = 4$ , $2 x + 3 y + z = 4$
27870	Solve Using a Matrix with Cramer's Rule	x-3y=-3 , 2x-y=4	$x - 3 y = - 3$ , $2 x - y = 4$
27871	Solve Using a Matrix with Cramer's Rule	-x-3y=-5 , 5x+6y=7	$- x - 3 y = - 5$ , $5 x + 6 y = 7$
27872	Solve Using a Matrix with Cramer's Rule	x-3y=6 , 3x+y=-22	$x - 3 y = 6$ , $3 x + y = - 22$
27873	Solve Using a Matrix with Cramer's Rule	x-3y=8 , 2x-2y=1	$x - 3 y = 8$ , $2 x - 2 y = 1$
27874	Solve Using a Matrix with Cramer's Rule	x-3y-3z=0 , 2x+5y-5z=1 , -x+5y-6z=9	$x - 3 y - 3 z = 0$ , $2 x + 5 y - 5 z = 1$ , $- x + 5 y - 6 z = 9$
27875	Solve Using a Matrix with Cramer's Rule	x-4z=1 , 2x-y-6z=4 , 2x+3y-2z=8	$x - 4 z = 1$ , $2 x - y - 6 z = 4$ , $2 x + 3 y - 2 z = 8$
27876	Solve Using a Matrix with Cramer's Rule	x-4z=1 , 2x-y-6z=4 , 2x+3z-2z=8	$x - 4 z = 1$ , $2 x - y - 6 z = 4$ , $2 x + 3 z - 2 z = 8$
27877	Solve Using a Matrix with Cramer's Rule	x-5y+2z=1 , 3x-2y+2z=-1	$x - 5 y + 2 z = 1$ , $3 x - 2 y + 2 z = - 1$
27878	Solve Using a Matrix with Cramer's Rule	x-5y+4z=1 , 3x-4y+2z=-1	$x - 5 y + 4 z = 1$ , $3 x - 4 y + 2 z = - 1$
27879	Solve Using a Matrix with Cramer's Rule	x-5y+z=3 , -x+2y+z=3 , -2x-3y+z=-6	$x - 5 y + z = 3$ , $- x + 2 y + z = 3$ , $- 2 x - 3 y + z = - 6$
27880	Solve Using a Matrix with Cramer's Rule	x-5y=16 , 9x-6y=27	$x - 5 y = 16$ , $9 x - 6 y = 27$
27881	Solve Using a Matrix with Cramer's Rule	x-5y=21 , 3y+z=9 , -x+z=-2	$x - 5 y = 21$ , $3 y + z = 9$ , $- x + z = - 2$
27882	Solve Using a Matrix with Cramer's Rule	x-5y=-5 , -4x-2y=20	$x - 5 y = - 5$ , $- 4 x - 2 y = 20$
27883	Solve Using a Matrix with Cramer's Rule	x-6y=20 , 3x+2y=0	$x - 6 y = 20$ , $3 x + 2 y = 0$
27884	Solve Using a Matrix with Cramer's Rule	x-7y=-26 , -2x-7y-3z=4 , 2x+10y-3z=17	$x - 7 y = - 26$ , $- 2 x - 7 y - 3 z = 4$ , $2 x + 10 y - 3 z = 17$
27885	Solve Using a Matrix with Cramer's Rule	x-9y=6 , 5x-3y=1	$x - 9 y = 6$ , $5 x - 3 y = 1$
27886	Solve Using a Matrix with Cramer's Rule	x-y+2z=1 , 2y-3z=1 , 3x-2y+4z=2	$x - y + 2 z = 1$ , $2 y - 3 z = 1$ , $3 x - 2 y + 4 z = 2$
27887	Solve Using a Matrix with Cramer's Rule	x-y+2z=1 , 3x+y+5z=16 , 2x-y-2z=-12	$x - y + 2 z = 1$ , $3 x + y + 5 z = 16$ , $2 x - y - 2 z = - 12$
27888	Solve Using a Matrix with Cramer's Rule	x-y+3z=2 , 2x+y+2z=2 , -2x-2y+z=3	$x - y + 3 z = 2$ , $2 x + y + 2 z = 2$ , $- 2 x - 2 y + z = 3$
27889	Solve Using a Matrix with Cramer's Rule	x-y+3z=2 , 4x-8y+32z=5 , 2x-3y+11z=3	$x - y + 3 z = 2$ , $4 x - 8 y + 32 z = 5$ , $2 x - 3 y + 11 z = 3$
27890	Solve Using a Matrix with Cramer's Rule	x-y+3z=8 , 3x+y-2z=-2 , 2x+4y+z=0	$x - y + 3 z = 8$ , $3 x + y - 2 z = - 2$ , $2 x + 4 y + z = 0$
27891	Solve Using a Matrix with Cramer's Rule	x-y+4z=2 , 2x+z=5 , -x+y-4z=-3	$x - y + 4 z = 2$ , $2 x + z = 5$ , $- x + y - 4 z = - 3$
27892	Solve Using a Matrix with Cramer's Rule	x-y+5z=13 , 5x+z=-2 , x+2y+z=4	$x - y + 5 z = 13$ , $5 x + z = - 2$ , $x + 2 y + z = 4$
27893	Solve Using a Matrix with Cramer's Rule	x-y+5z=-4 , 4x+z=0 , x+2y+z=8	$x - y + 5 z = - 4$ , $4 x + z = 0$ , $x + 2 y + z = 8$
27894	Solve Using a Matrix with Cramer's Rule	x-y+z=0 , x+3y-5z=0 , 3x-3y+3z=0	$x - y + z = 0$ , $x + 3 y - 5 z = 0$ , $3 x - 3 y + 3 z = 0$
27895	Solve Using a Matrix with Cramer's Rule	x-y+z=0 , x+57-z=0 , 2x-2y+12z=0	$x - y + z = 0$ , $x + 57 - z = 0$ , $2 x - 2 y + 12 z = 0$
27896	Solve Using a Matrix with Cramer's Rule	x-y+z=20 , 2x+2y=4 , x+y+6z=5	$x - y + z = 20$ , $2 x + 2 y = 4$ , $x + y + 6 z = 5$
27897	Solve Using a Matrix with Cramer's Rule	-x-y=-1 , 3x+3y=3	$- x - y = - 1$ , $3 x + 3 y = 3$
27898	Solve Using a Matrix with Cramer's Rule	x-y=1 , 6x-7y=12 , 6y+5z=6	$x - y = 1$ , $6 x - 7 y = 12$ , $6 y + 5 z = 6$
27899	Solve Using a Matrix with Cramer's Rule	x-y=9 , -2x+y+z=-10 , -3x-4y-3z=3	$x - y = 9$ , $- 2 x + y + z = - 10$ , $- 3 x - 4 y - 3 z = 3$
27900	Solve Using a Matrix with Cramer's Rule	x-y-z+2u=-10 , x-y+z+2u=-14 , y+3z-u=-4 , 5y+z+2u=-6	$x - y - z + 2 u = - 10$ , $x - y + z + 2 u = - 14$ , $y + 3 z - u = - 4$ , $5 y + z + 2 u = - 6$