Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
27901	Solve Using a Matrix with Cramer's Rule	x-y-z=2 , x+2y-2z=3 , 3x-2y-4z=5	$x - y - z = 2$ , $x + 2 y - 2 z = 3$ , $3 x - 2 y - 4 z = 5$
27902	Solve Using a Matrix with Cramer's Rule	x-y-z=4 , 2y+z=-1 , -x+y-2z=5	$x - y - z = 4$ , $2 y + z = - 1$ , $- x + y - 2 z = 5$
27903	Solve Using a Matrix with Cramer's Rule	x-z=0 , 6y-z=0 , 6x+3y=0	$x - z = 0$ , $6 y - z = 0$ , $6 x + 3 y = 0$
27904	Solve Using a Matrix with Cramer's Rule	x-z=-1 , 5y-z=17 , 3x+3y=18	$x - z = - 1$ , $5 y - z = 17$ , $3 x + 3 y = 18$
27905	Solve Using a Matrix with Cramer's Rule	x-z=-2 , 6y-z=-9 , 3x+3y=-21	$x - z = - 2$ , $6 y - z = - 9$ , $3 x + 3 y = - 21$
27906	Solve Using a Matrix with Cramer's Rule	x-z=-3 , 4y-z=8 , 3x+5y=1	$x - z = - 3$ , $4 y - z = 8$ , $3 x + 5 y = 1$
27907	Solve Using a Matrix with Cramer's Rule	x-z=-7 , 5y-z=-15 , 5x+3y=-16	$x - z = - 7$ , $5 y - z = - 15$ , $5 x + 3 y = - 16$
27908	Solve Using a Matrix with Cramer's Rule	x-z=-8 , 2y-z=5 , 6x+2y=-8	$x - z = - 8$ , $2 y - z = 5$ , $6 x + 2 y = - 8$
27909	Solve Using a Matrix with Cramer's Rule	-y+2z=0 , -3x-4y+5z=-10 , 6x-7z=10	$- y + 2 z = 0$ , $- 3 x - 4 y + 5 z = - 10$ , $6 x - 7 z = 10$
27910	Solve Using a Matrix with Cramer's Rule	y=-4x+2 , 2x=3y+8	$y = - 4 x + 2$ , $2 x = 3 y + 8$
27911	Solve Using a Matrix with Cramer's Rule	y=4x-11 , 2x+y=7	$y = 4 x - 11$ , $2 x + y = 7$
27912	Solve Using a Matrix with Cramer's Rule	y=-5x-5z+17 , x=-2y-z+7 , z=x-y	$y = - 5 x - 5 z + 17$ , $x = - 2 y - z + 7$ , $z = x - y$
27913	Solve Using a Matrix with Cramer's Rule	y-2z=0 , 2x+5y=8 , -x-2y-1z=-4	$y - 2 z = 0$ , $2 x + 5 y = 8$ , $- x - 2 y - 1 z = - 4$
27914	Solve Using a Matrix with Cramer's Rule	y-3z=0 , 3x+2y=12 , -x-2y+4z=-4	$y - 3 z = 0$ , $3 x + 2 y = 12$ , $- x - 2 y + 4 z = - 4$
27915	Solve Using a Matrix with Cramer's Rule	y-3z=0 , 3x+2y=15 , -x-2y+4z=-5	$y - 3 z = 0$ , $3 x + 2 y = 15$ , $- x - 2 y + 4 z = - 5$
27916	Solve Using a Matrix with Cramer's Rule	y-4z=0 , 4x+15y=16 , -x-4y+z=-4	$y - 4 z = 0$ , $4 x + 15 y = 16$ , $- x - 4 y + z = - 4$
27917	Solve Using a Matrix with Cramer's Rule	z+2y=0 , z-5x=1 , x+3y=-2	$z + 2 y = 0$ , $z - 5 x = 1$ , $x + 3 y = - 2$
27918	Eliminate the Parameter	x=1+1/t , y=1-1/t	$x = 1 + \frac{1}{t}$ , $y = 1 - \frac{1}{t}$
27919	Eliminate the Parameter	x(t)=2cos(t) , y(t)=2sin(t)*0=t=2pi	$x (t) = 2 \cos (t)$ , $y (t) = 2 \sin (t) \cdot 0 = t = 2 π$
27920	Eliminate the Parameter	x(t)=-4e^t , y(t)=-3/(e^t)	$x (t) = - 4 e^{t}$ , $y (t) = - \frac{3}{e^{t}}$
27921	Eliminate the Parameter	x(t)=4 square root of t , y(t)=5t+8	$x (t) = 4 \sqrt{t}$ , $y (t) = 5 t + 8$
27922	Eliminate the Parameter	x(t)=4-t , y(t)=3t+2	$x (t) = 4 - t$ , $y (t) = 3 t + 2$
27923	Eliminate the Parameter	x(t)=7-sin(t) , y(t)=4-4sin(t)	$x (t) = 7 - \sin (t)$ , $y (t) = 4 - 4 \sin (t)$
27924	Eliminate the Parameter	x(t)=sin(t)-1 , y(t)=csc(t)	$x (t) = \sin (t) - 1$ , $y (t) = \csc (t)$
27925	Eliminate the Parameter	x(t)=t , y(t)=5t	$x (t) = t$ , $y (t) = 5 t$
27926	Eliminate the Parameter	x(t)=tan(t) , y(t)=sec(t)^2	$x (t) = \tan (t)$ , $y (t) = \sec^{2} (t)$
27927	Eliminate the Parameter	x=(3t^2)/2 , y=4t-1	$x = \frac{3 t^{2}}{2}$ , $y = 4 t - 1$
27928	Graph	theta=-(3pi)/2	$θ = - \frac{3 π}{2}$
27929	Eliminate the Parameter	x=t^3 , y=2t-1	$x = t^{3}$ , $y = 2 t - 1$
27930	Eliminate the Parameter	x=10+5t , y=50-5t^2	$x = 10 + 5 t$ , $y = 50 - 5 t^{2}$
27931	Eliminate the Parameter	x=-2t+3 , y=3t+1	$x = - 2 t + 3$ , $y = 3 t + 1$
27932	Eliminate the Parameter	x=3 square root of t , y=9- square root of t	$x = 3 \sqrt{t}$ , $y = 9 - \sqrt{t}$
27933	Eliminate the Parameter	x=3-2t , y=2+3t	$x = 3 - 2 t$ , $y = 2 + 3 t$
27934	Eliminate the Parameter	x=3t , y=2t^2+4t-7	$x = 3 t$ , $y = 2 t^{2} + 4 t - 7$
27935	Eliminate the Parameter	x=5t-6 , y=25t^2	$x = 5 t - 6$ , $y = 25 t^{2}$
27936	Eliminate the Parameter	x=-7t+1 , y=-10t+9	$x = - 7 t + 1$ , $y = - 10 t + 9$
27937	Eliminate the Parameter	x=t+1 , y=t^2	$x = t + 1$ , $y = t^{2}$
27938	Eliminate the Parameter	x=t-4 , y=t/(t-4)	$x = t - 4$ , $y = \frac{t}{t - 4}$
27939	Eliminate the Parameter	x(t)=t^2 , y(t)=t(4-t^2)	$x (t) = t^{2}$ , $y (t) = t (4 - t^{2})$
27940	Eliminate the Parameter	x(t)=1+3t , y(t) = natural log of t+1	$x (t) = 1 + 3 t$ , $y (t) = \ln (t + 1)$
27941	Eliminate the Parameter	x(t)=2-t , y(t)=2t^2-t^3	$x (t) = 2 - t$ , $y (t) = 2 t^{2} - t^{3}$
27942	Eliminate the Parameter	x(t)=4+2t , y(t)=6-t	$x (t) = 4 + 2 t$ , $y (t) = 6 - t$
27943	Eliminate the Parameter	x(t)=8 square root of t , y(t)=7t+2	$x (t) = 8 \sqrt{t}$ , $y (t) = 7 t + 2$
27944	Eliminate the Parameter	x(t)=t+cos(t) , y(t)=t+sin(t)	$x (t) = t + \cos (t)$ , $y (t) = t + \sin (t)$
27945	Find the Intersection of the Inequalities	3u+4=-5 , 4u-4>-28	$3 u + 4 = - 5$ , $4 u - 4 > - 28$
27946	Find the Intersection of the Inequalities	3w+2=17 , 4w-1<7	$3 w + 2 = 17$ , $4 w - 1 < 7$
27947	Find the Intersection of the Inequalities	3x+2y=14 , -5x+5y=10 , -8x+3y=-29	$3 x + 2 y = 14$ , $- 5 x + 5 y = 10$ , $- 8 x + 3 y = - 29$
27948	Find the Intersection of the Inequalities	-3x+4y=-4 , 6x+5y>-20	$- 3 x + 4 y = - 4$ , $6 x + 5 y > - 20$
27949	Find the Intersection of the Inequalities	3x+5y=15 , 4x+4y=16	$3 x + 5 y = 15$ , $4 x + 4 y = 16$
27950	Find the Intersection of the Inequalities	-3x+6y=27 , -7x+5y=-18	$- 3 x + 6 y = 27$ , $- 7 x + 5 y = - 18$
27951	Eliminate the Parameter	x=t-3 , y=t^2-2t	$x = t - 3$ , $y = t^{2} - 2 t$
27952	Eliminate the Parameter	y=t^2-1 , x=t^2+1	$y = t^{2} - 1$ , $x = t^{2} + 1$
27953	Eliminate the Parameter	y=2t , x=35/2+t	$y = 2 t$ , $x = \frac{35}{2} + t$
27954	Eliminate the Parameter	y=t-1 , x = square root of t	$y = t - 1$ , $x = \sqrt{t}$
27955	Convert to Interval Notation	0<=x<=2pi	$0 \leq x \leq 2 π$
27956	Find the Intersection of the Inequalities	(x+4)^2+(y-3)^2=9 , (x+4)^2+(y-3)^2=9	${(x + 4)}^{2} + {(y - 3)}^{2} = 9$ , ${(x + 4)}^{2} + {(y - 3)}^{2} = 9$
27957	Find the Intersection of the Inequalities	(x-1)^2+(y+2)^2>9 , x^2+y^2=4	${(x - 1)}^{2} + {(y + 2)}^{2} > 9$ , $x^{2} + y^{2} = 4$
27958	Find the Intersection of the Inequalities	(x-5)^2+(y-1)^2>16 , (x-5)^2+(y-1)^2<36	${(x - 5)}^{2} + {(y - 1)}^{2} > 16$ , ${(x - 5)}^{2} + {(y - 1)}^{2} < 36$
27959	Find the Intersection of the Inequalities	log base b of u^6v^5u>0 , v>0	$\log_{b} (u^{6} v^{5}) u > 0$ , $v > 0$
27960	Find the Intersection of the Inequalities	x^2+y^2=25 , y-x^2>0	$x^{2} + y^{2} = 25$ , $y - x^{2} > 0$
27961	Find the Intersection of the Inequalities	x^2+y^2=9 , y>x	$x^{2} + y^{2} = 9$ , $y > x$
27962	Find the Intersection of the Inequalities	1.5x+1y=25000 , 0.375x+0.5y=10000	$1.5 x + 1 y = 25000$ , $0.375 x + 0.5 y = 10000$
27963	Find the Intersection of the Inequalities	10+x=2x-5 , 2x-5=25	$10 + x = 2 x - 5$ , $2 x - 5 = 25$
27964	Find the Intersection of the Inequalities	18x-9>9 , 2x-4<-10	$18 x - 9 > 9$ , $2 x - 4 < - 10$
27965	Find the Intersection of the Inequalities	2x+3y>15 , 3x-y<21	$2 x + 3 y > 15$ , $3 x - y < 21$
27966	Find the Intersection of the Inequalities	2x+3y>2 , -y-1/3x=-3 , 13x-6y>0	$2 x + 3 y > 2$ , $- y - \frac{1}{3} x = - 3$ , $13 x - 6 y > 0$
27967	Find the Intersection of the Inequalities	2x+5y<25 , y<3x-2 , 5x-7y<14	$2 x + 5 y < 25$ , $y < 3 x - 2$ , $5 x - 7 y < 14$
27968	Find the Intersection of the Inequalities	2x+5y=19 , 3x+2y=12 , x=0 , y=0	$2 x + 5 y = 19$ , $3 x + 2 y = 12$ , $x = 0$ , $y = 0$
27969	Find the Intersection of the Inequalities	2x+y=1 , x-3y>0	$2 x + y = 1$ , $x - 3 y > 0$
27970	Find the Intersection of the Inequalities	2x+y>2 , 6x+3y<2	$2 x + y > 2$ , $6 x + 3 y < 2$
27971	Find the Intersection of the Inequalities	2x-3y<6 , 3x+4y=12 , x>-3 , y=2	$2 x - 3 y < 6$ , $3 x + 4 y = 12$ , $x > - 3$ , $y = 2$
27972	Eliminate the Parameter	x=3t , y=t+4	$x = 3 t$ , $y = t + 4$
27973	Eliminate the Parameter	x=4 square root of 4-t^2 , y=3(1- square root of 4-t^2)	$x = 4 \sqrt{4 - t^{2}}$ , $y = 3 (1 - \sqrt{4 - t^{2}})$
27974	Eliminate the Parameter	x=4t-3 , y=2t	$x = 4 t - 3$ , $y = 2 t$
27975	Eliminate the Parameter	x=4t-5 , y=3-8t	$x = 4 t - 5$ , $y = 3 - 8 t$
27976	Eliminate the Parameter	x=5t , y=t+8	$x = 5 t$ , $y = t + 8$
27977	Eliminate the Parameter	x=6-2t , y=2+6t	$x = 6 - 2 t$ , $y = 2 + 6 t$
27978	Eliminate the Parameter	x=6t+1 , y=36t^2	$x = 6 t + 1$ , $y = 36 t^{2}$
27979	Eliminate the Parameter	x=7-t^2 , y=2t	$x = 7 - t^{2}$ , $y = 2 t$
27980	Graph	x=4y^2	$x = 4 y^{2}$
27981	Eliminate the Parameter	x=t , y=5t^3	$x = t$ , $y = 5 t^{3}$
27982	Eliminate the Parameter	x=t+1/t , y=t-1/t	$x = t + \frac{1}{t}$ , $y = t - \frac{1}{t}$
27983	Eliminate the Parameter	x=t+1 , y = square root of t	$x = t + 1$ , $y = \sqrt{t}$
27984	Eliminate the Parameter	x=t+1 , y=t/(t+1)	$x = t + 1$ , $y = \frac{t}{t + 1}$
27985	Eliminate the Parameter	x=t+6 , y=t^2	$x = t + 6$ , $y = t^{2}$
27986	Eliminate the Parameter	x=t-1 , y=t+2	$x = t - 1$ , $y = t + 2$
27987	Eliminate the Parameter	x=t-1 , y=5t	$x = t - 1$ , $y = 5 t$
27988	Graph	r=3-2sin(theta)	$r = 3 - 2 \sin (θ)$
27989	Eliminate the Parameter	x = square root of t^3 , y=t^2	$x = \sqrt{t^{3}}$ , $y = t^{2}$
27990	Eliminate the Parameter	x = square root of t , y = square root of 9-t	$x = \sqrt{t}$ , $y = \sqrt{9 - t}$
27991	Eliminate the Parameter	x = square root of t , y=1-t	$x = \sqrt{t}$ , $y = 1 - t$
27992	Eliminate the Parameter	x = square root of t , y=4-t	$x = \sqrt{t}$ , $y = 4 - t$
27993	Eliminate the Parameter	x = square root of t , y=5-t	$x = \sqrt{t}$ , $y = 5 - t$
27994	Eliminate the Parameter	x=0 , y=-16t^2+60t+6	$x = 0$ , $y = - 16 t^{2} + 60 t + 6$
27995	Solve Using a Matrix with Cramer's Rule	7x-y=59 , 8x-9y=91	$7 x - y = 59$ , $8 x - 9 y = 91$
27996	Solve Using a Matrix with Cramer's Rule	7x-y-9z=5 , 5x+y-z=7 , 5x+y-6z=4	$7 x - y - 9 z = 5$ , $5 x + y - z = 7$ , $5 x + y - 6 z = 4$
27997	Solve Using a Matrix with Cramer's Rule	2x-3y=-2 , 3x-4y=9-x	$2 x - 3 y = - 2$ , $3 x - 4 y = 9 - x$
27998	Solve Using a Matrix with Cramer's Rule	2x-3y=-5 , -6x+5y=7	$2 x - 3 y = - 5$ , $- 6 x + 5 y = 7$
27999	Solve Using a Matrix with Cramer's Rule	x+y=4 , y+3z=-1 , 2x-2y+5z=-5	$x + y = 4$ , $y + 3 z = - 1$ , $2 x - 2 y + 5 z = - 5$
28000	Solve Using a Matrix with Cramer's Rule	x+y=5 , 2x+y=6	$x + y = 5$ , $2 x + y = 6$