Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
7001	Solve Using an Inverse Matrix	y=1/3x-3 , 2x+y=4	$y = \frac{1}{3} x - 3$ , $2 x + y = 4$
7002	Solve Using an Inverse Matrix	y=-1/4x+3 , 2x+y=-4	$y = - \frac{1}{4} x + 3$ , $2 x + y = - 4$
7003	Solve Using an Inverse Matrix	y=1/4x+4 , y=-2x-5	$y = \frac{1}{4} x + 4$ , $y = - 2 x - 5$
7004	Solve Using an Inverse Matrix	y=-1/5x-5 , y=2/5x-2	$y = - \frac{1}{5} x - 5$ , $y = \frac{2}{5} x - 2$
7005	Solve Using an Inverse Matrix	y=2/3x-3 , y=-2x+5	$y = \frac{2}{3} x - 3$ , $y = - 2 x + 5$
7006	Find the Dimensions	[[1,2,-3],[2,-1,4],[4,3,-2]]	$[\begin{array}{c} 1 & 2 & - 3 \\ 2 & - 1 & 4 \\ 4 & 3 & - 2 \end{array}]$
7007	Solve Using an Inverse Matrix	y=-5/2x-1 , y=-5/2x-2	$y = \frac{- 5}{2} x - 1$ , $y = \frac{- 5}{2} x - 2$
7008	Find the Domain	y=x^2-3	$y = x^{2} - 3$
7009	Solve Using an Inverse Matrix	y=6/7x+7 , y=-6/7x	$y = \frac{6}{7} x + 7$ , $y = - \frac{6}{7} x$
7010	Solve Using an Inverse Matrix	y=0.753x+12.298 , y=0.279x+11.856	$y = 0.753 x + 12.298$ , $y = 0.279 x + 11.856$
7011	Solve Using an Inverse Matrix	y=-2(x-1) , y=-x+3	$y = - 2 (x - 1)$ , $y = - x + 3$
7012	Solve Using an Inverse Matrix	y=-2 , 4x-3y=18	$y = - 2$ , $4 x - 3 y = 18$
7013	Solve Using an Inverse Matrix	y=-2+1 , y=x+7	$y = - 2 + 1$ , $y = x + 7$
7014	Solve Using an Inverse Matrix	y=2x , y=-1/2x	$y = 2 x$ , $y = - \frac{1}{2} x$
7015	Solve Using an Inverse Matrix	y=2x+10 , 2x+y=-2	$y = 2 x + 10$ , $2 x + y = - 2$
7016	Solve Using an Inverse Matrix	y=-2x+2 , 3x+2y=5	$y = - 2 x + 2$ , $3 x + 2 y = 5$
7017	Solve Using an Inverse Matrix	y=2x+3 , x+y=6	$y = 2 x + 3$ , $x + y = 6$
7018	Solve Using an Inverse Matrix	y=2x+3 , y=4x+7	$y = 2 x + 3$ , $y = 4 x + 7$
7019	Solve Using an Inverse Matrix	y=-2x+3 , y=-x-1	$y = - 2 x + 3$ , $y = - x - 1$
7020	Solve Using an Inverse Matrix	y=2x+4 , y=3x+2	$y = 2 x + 4$ , $y = 3 x + 2$
7021	Solve Using an Inverse Matrix	y=2x+9 , y=x+6	$y = 2 x + 9$ , $y = x + 6$
7022	Solve Using an Inverse Matrix	y=-2x-1 , y=4x+5	$y = - 2 x - 1$ , $y = 4 x + 5$
7023	Solve Using an Inverse Matrix	y=2x-1 , y=-x+5	$y = 2 x - 1$ , $y = - x + 5$
7024	Solve Using an Inverse Matrix	y=2x-4 , y=x-5	$y = 2 x - 4$ , $y = x - 5$
7025	Solve Using an Inverse Matrix	y=2x-5 , 4x-y=7	$y = 2 x - 5$ , $4 x - y = 7$
7026	Find the Norm	[[0+1i],[1+1i],[4-2i]]	$[\begin{array}{c} 0 + 1 i \\ 1 + 1 i \\ 4 - 2 i \end{array}]$
7027	Solve Using an Inverse Matrix	x-y=2 , 7x+3y=-66	$x - y = 2$ , $7 x + 3 y = - 66$
7028	Solve Using an Inverse Matrix	-x-3y=9 , x-3y=y	$- x - 3 y = 9$ , $x - 3 y = y$
7029	Solve Using an Inverse Matrix	x+y=6 , -3x+y=-6	$x + y = 6$ , $- 3 x + y = - 6$
7030	Find the Domain	x+y=-1	$x + y = - 1$
7031	Solve Using an Inverse Matrix	x+y=6 , x=y+2	$x + y = 6$ , $x = y + 2$
7032	Solve Using an Inverse Matrix	x+y=6 , x-y=14	$x + y = 6$ , $x - y = 14$
7033	Solve Using an Inverse Matrix	x+y=495 , 11x-9y=495	$x + y = 495$ , $11 x - 9 y = 495$
7034	Solve Using an Inverse Matrix	x+y=5 , 3x-2y=15	$x + y = 5$ , $3 x - 2 y = 15$
7035	Solve Using an Inverse Matrix	x+y=-5 , x-y=12	$x + y = - 5$ , $x - y = 12$
7036	Solve Using an Inverse Matrix	x+y=5 , y=x+3	$x + y = 5$ , $y = x + 3$
7037	Solve Using an Inverse Matrix	x+y=560 , y=x+100	$x + y = 560$ , $y = x + 100$
7038	Solve Using an Inverse Matrix	x+y=6 , -x+3y=-2	$x + y = 6$ , $- x + 3 y = - 2$
7039	Solve Using an Inverse Matrix	x+3y=6 , 6x-6y=20	$x + 3 y = 6$ , $6 x - 6 y = 20$
7040	Solve Using an Inverse Matrix	-x+3y=7 , 3x+2y=-1	$- x + 3 y = 7$ , $3 x + 2 y = - 1$
7041	Solve Using an Inverse Matrix	x+3y-3z-w=11 , 4x+y+2z+5w=3 , -3x-y+z-3w=-7 , z-y-3z-5w=-1	$x + 3 y - 3 z - w = 11$ , $4 x + y + 2 z + 5 w = 3$ , $- 3 x - y + z - 3 w = - 7$ , $z - y - 3 z - 5 w = - 1$
7042	Solve Using an Inverse Matrix	x+3y-z=4 , 3y-z=0 , x-y+5z=0	$x + 3 y - z = 4$ , $3 y - z = 0$ , $x - y + 5 z = 0$
7043	Find Reduced Row Echelon Form	[[2,5,1],[-1,0,1],[3,4,-1]]	$[\begin{array}{c} 2 & 5 & 1 \\ - 1 & 0 & 1 \\ 3 & 4 & - 1 \end{array}]$
7044	Solve Using an Inverse Matrix	x-y=8 , x-3y=4	$x - y = 8$ , $x - 3 y = 4$
7045	Solve Using an Inverse Matrix	x-y-2z=-6 , 3x+2y=-25 , -4x+y-z=12	$x - y - 2 z = - 6$ , $3 x + 2 y = - 25$ , $- 4 x + y - z = 12$
7046	Solve Using an Inverse Matrix	x-y-6=0 , x+y+4=0	$x - y - 6 = 0$ , $x + y + 4 = 0$
7047	Find Reduced Row Echelon Form	[[2,5,1],[-1,0,-8],[3,4,12]]	$[\begin{array}{c} 2 & 5 & 1 \\ - 1 & 0 & - 8 \\ 3 & 4 & 12 \end{array}]$
7048	Find Reduced Row Echelon Form	[[2,0,6],[-3,5,2],[4,1,9],[1,-2,11]]	$[\begin{array}{c} 2 & 0 & 6 \\ - 3 & 5 & 2 \\ 4 & 1 & 9 \\ 1 & - 2 & 11 \end{array}]$
7049	Solve Using an Inverse Matrix	x-y=3 , x+y=7	$x - y = 3$ , $x + y = 7$
7050	Solve Using an Inverse Matrix	x-y=-3 , y+x=100	$x - y = - 3$ , $y + x = 100$
7051	Solve Using an Inverse Matrix	x-y=4 , x-z=2 , x+z=0	$x - y = 4$ , $x - z = 2$ , $x + z = 0$
7052	Solve Using an Inverse Matrix	x-y=4 , y=-2x+5	$x - y = 4$ , $y = - 2 x + 5$
7053	Solve Using an Inverse Matrix	x-y=5 , 6x-5y=35	$x - y = 5$ , $6 x - 5 y = 35$
7054	Write as a Vector Equality	z=3 , x=3-5z	$z = 3$ , $x = 3 - 5 z$
7055	Solve Using an Inverse Matrix	x-z=-6 , 3y-z=1 , 6x+5y=-19	$x - z = - 6$ , $3 y - z = 1$ , $6 x + 5 y = - 19$
7056	Find the Domain	y=2X^2	$y = 2 X^{2}$
7057	Find the Domain	y=-2x+4	$y = - 2 x + 4$
7058	Find the Norm	[[2+4i],[2-4i],[1-2i]]	$[\begin{array}{c} 2 + 4 i \\ 2 - 4 i \\ 1 - 2 i \end{array}]$
7059	Solve Using an Inverse Matrix	y+3x-4=0 , 2x-y=7	$y + 3 x - 4 = 0$ , $2 x - y = 7$
7060	Solve Using an Inverse Matrix	y+4x-5=0 , 3x-y=7	$y + 4 x - 5 = 0$ , $3 x - y = 7$
7061	Solve Using an Inverse Matrix	y+x=4 , 2y-3x=12	$y + x = 4$ , $2 y - 3 x = 12$
7062	Solve Using an Inverse Matrix	y=0.5x+5 , 2y=x-24	$y = 0.5 x + 5$ , $2 y = x - 24$
7063	Find the Domain	y=-3x-1	$y = - 3 x - 1$
7064	Find the Set Complement b \ A	A=(1,3,5,6,7,9,11,12,13,15,17,18,19) , b=(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20)	$A = (1, 3, 5, 6, 7, 9, 11, 12, 13, 15, 17, 18, 19)$ , $b = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20)$
7065	Solve by Substitution	4=x+4y , y+x=2	$4 = x + 4 y$ , $y + x = 2$
7066	Find the Inverse	[[cos(x),-sin(x)],[sin(x),cos(x)]]	$[\begin{array}{c} \cos (x) & - \sin (x) \\ \sin (x) & \cos (x) \end{array}]$
7067	Solve by Substitution	2x+3y=5 , x-5y=9	$2 x + 3 y = 5$ , $x - 5 y = 9$
7068	Find the Domain	y=9x	$y = 9 x$
7069	Solve by Substitution	x-2y=11 , x+5y=-17	$x - 2 y = 11$ , $x + 5 y = - 17$
7070	Evaluate	square root of 81/9	$\sqrt{\frac{81}{9}}$
7071	Find the Determinant	[[cos(x),sin(x)],[-sin(x),cos(x)]]	$[\begin{array}{c} \cos (x) & \sin (x) \\ - \sin (x) & \cos (x) \end{array}]$
7072	Find the Domain	y=4x-9	$y = 4 x - 9$
7073	Find the Domain	y=5x+8	$y = 5 x + 8$
7074	Solve the Matrix Equation	A=[[-8,-1,-3],[7,7,-9],[2,6,1]]+[[-2,-7,4],[2,-4,-8],[4,6,4]]	$A = [\begin{array}{c} - 8 & - 1 & - 3 \\ 7 & 7 & - 9 \\ 2 & 6 & 1 \end{array}] + [\begin{array}{c} - 2 & - 7 & 4 \\ 2 & - 4 & - 8 \\ 4 & 6 & 4 \end{array}]$
7075	Find the Eigenvalues	[[cos(x),-sin(x)],[sin(x),cos(x)]]	$[\begin{array}{c} \cos (x) & - \sin (x) \\ \sin (x) & \cos (x) \end{array}]$
7076	Solve by Substitution	x-3y=13 , 2x-2y=6	$x - 3 y = 13$ , $2 x - 2 y = 6$
7077	Solve Using an Inverse Matrix	5x+3y+3z=25 , 4x-5y-3z=12 , -19x-3y-6z=-16	$5 x + 3 y + 3 z = 25$ , $4 x - 5 y - 3 z = 12$ , $- 19 x - 3 y - 6 z = - 16$
7078	Evaluate	square root of 0.0008	$\sqrt{0.0008}$
7079	Solve by Substitution	5x-3y=-14 , x+3y=2	$5 x - 3 y = - 14$ , $x + 3 y = 2$
7080	Evaluate	square root of 1.75	$\sqrt{1.75}$
7081	Solve by Substitution	x-3y=5 , x+5y=-3	$x - 3 y = 5$ , $x + 5 y = - 3$
7082	Solve by Substitution	-x+2y=1 , 3x-2y=-7	$- x + 2 y = 1$ , $3 x - 2 y = - 7$
7083	Solve by Substitution	4x-10y=18 , -2x+5y=-9	$4 x - 10 y = 18$ , $- 2 x + 5 y = - 9$
7084	Solve Using an Inverse Matrix	2x+3y=-2 , 5x-y=-39	$2 x + 3 y = - 2$ , $5 x - y = - 39$
7085	Write as a Vector Equality	8x-3y=5xy , 6x-5y=-2xy	$8 x - 3 y = 5 x y$ , $6 x - 5 y = - 2 x y$
7086	Solve Using an Inverse Matrix	2x+4y=12 , x+2y=6	$2 x + 4 y = 12$ , $x + 2 y = 6$
7087	Solve by Substitution	x-5y=11 , -x+4y=10	$x - 5 y = 11$ , $- x + 4 y = 10$
7088	Simplify the Matrix	[[1,2,3],[4,5,6],[7,8,9]][[1],[2],[3]]	$[\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}] [\begin{array}{c} 1 \\ 2 \\ 3 \end{array}]$
7089	Solve Using an Inverse Matrix	x+y=2 , 2x+2y=4	$x + y = 2$ , $2 x + 2 y = 4$
7090	Solve Using an Inverse Matrix	2x-5y=1 , 3x+2y=-8	$2 x - 5 y = 1$ , $3 x + 2 y = - 8$
7091	Solve Using an Inverse Matrix	3x+2y=6 , 2x-3y=6	$3 x + 2 y = 6$ , $2 x - 3 y = 6$
7092	Solve Using an Inverse Matrix	x+2y=0 , 2x-y=0	$x + 2 y = 0$ , $2 x - y = 0$
7093	Solve by Substitution	2x-6y=12 , -3x+9y=-18	$2 x - 6 y = 12$ , $- 3 x + 9 y = - 18$
7094	Solve by Substitution	6x-5y=3 , -2x+5/3y=1	$6 x - 5 y = 3$ , $- 2 x + \frac{5}{3} y = 1$
7095	Simplify the Matrix	[[0.8,0.3],[0.2,0.7]][[0.8],[0.2]]	$[\begin{array}{c} 0.8 & 0.3 \\ 0.2 & 0.7 \end{array}] [\begin{array}{c} 0.8 \\ 0.2 \end{array}]$
7096	Find the Null Space	[[1,-2,-2,-2],[0,1,5,5]]	$[\begin{array}{c} 1 & - 2 & - 2 & - 2 \\ 0 & 1 & 5 & 5 \end{array}]$
7097	Write as a Vector Equality	y=mx+b , -1=mx+2	$y = m x + b$ , $- 1 = m x + 2$
7098	Evaluate	(0.107-0.1)/(0.06/( square root of 40))	$\frac{0.107 - 0.1}{\frac{0.06}{\sqrt{40}}}$
7099	Solve by Substitution	5x-4y=11 , x+4y=7	$5 x - 4 y = 11$ , $x + 4 y = 7$
7100	Solve by Substitution	x+4y=17 , -x-6y=-23	$x + 4 y = 17$ , $- x - 6 y = - 23$