Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
28001	Solve Using a Matrix with Cramer's Rule	x+y=5 , x-y=1	$x + y = 5$ , $x - y = 1$
28002	Solve Using a Matrix with Cramer's Rule	7x+2y=4 , 8x-y=5	$7 x + 2 y = 4$ , $8 x - y = 5$
28003	Solve Using a Matrix with Cramer's Rule	7x+4y+2z=9 , -6x+6y+2z=30 , 3x+6y+4z=21	$7 x + 4 y + 2 z = 9$ , $- 6 x + 6 y + 2 z = 30$ , $3 x + 6 y + 4 z = 21$
28004	Solve Using a Matrix with Cramer's Rule	7x+4y=-27 , 5x-9y=40	$7 x + 4 y = - 27$ , $5 x - 9 y = 40$
28005	Solve Using a Matrix with Cramer's Rule	-7x+5y+5=0 , 2x+6y-2=0	$- 7 x + 5 y + 5 = 0$ , $2 x + 6 y - 2 = 0$
28006	Solve Using a Matrix with Cramer's Rule	7x+5y=-4 , 9x-7y=11	$7 x + 5 y = - 4$ , $9 x - 7 y = 11$
28007	Solve Using a Matrix with Cramer's Rule	7x=14 , 4x+8y=0	$7 x = 14$ , $4 x + 8 y = 0$
28008	Solve Using a Matrix with Cramer's Rule	7x=14 , 6x+12y=0	$7 x = 14$ , $6 x + 12 y = 0$
28009	Solve Using a Matrix with Cramer's Rule	7x-10y=-30 , -9x+5y+9z=78 , 6x-9z=-63	$7 x - 10 y = - 30$ , $- 9 x + 5 y + 9 z = 78$ , $6 x - 9 z = - 63$
28010	Solve Using a Matrix with Cramer's Rule	7x-2y=41 , 6x+4y=38	$7 x - 2 y = 41$ , $6 x + 4 y = 38$
28011	Solve Using a Matrix with Cramer's Rule	7x-2y=46 , 3x-2y=22	$7 x - 2 y = 46$ , $3 x - 2 y = 22$
28012	Solve Using a Matrix with Cramer's Rule	-7x-6y=23 , x+5y=5	$- 7 x - 6 y = 23$ , $x + 5 y = 5$
28013	Solve Using a Matrix with Cramer's Rule	7x-9y+6z=39 , -7x+2y+2z=-41 , 4x-3y-2z=8	$7 x - 9 y + 6 z = 39$ , $- 7 x + 2 y + 2 z = - 41$ , $4 x - 3 y - 2 z = 8$
28014	Solve Using a Matrix with Cramer's Rule	-7x-y+3z=0 , -2y+3z=-5 , -6x+3y+7z=-21	$- 7 x - y + 3 z = 0$ , $- 2 y + 3 z = - 5$ , $- 6 x + 3 y + 7 z = - 21$
28015	Eliminate the Parameter	x=1/2t , y=4t^3-4	$x = \frac{1}{2} t$ , $y = 4 t^{3} - 4$
28016	Eliminate the Parameter	x=1/2t , y=6t-3	$x = \frac{1}{2} t$ , $y = 6 t - 3$
28017	Eliminate the Parameter	x=-1/2t+2/3 , y=t-3/4	$x = - \frac{1}{2} t + \frac{2}{3}$ , $y = t - \frac{3}{4}$
28018	Eliminate the Parameter	x=5/(t+5) , y=t+5	$x = \frac{5}{t + 5}$ , $y = t + 5$
28019	Eliminate the Parameter	x=t^2 , y=t^4+1	$x = t^{2}$ , $y = t^{4} + 1$
28020	Eliminate the Parameter	x=t^2+2 , y=4t^2	$x = t^{2} + 2$ , $y = 4 t^{2}$
28021	Eliminate the Parameter	x=t^2+3 , y=-t+3+2	$x = t^{2} + 3$ , $y = - t + 3 + 2$
28022	Eliminate the Parameter	x=t^2+3 , y=2t	$x = t^{2} + 3$ , $y = 2 t$
28023	Eliminate the Parameter	x=t^2+t , y = square root of t^2-t	$x = t^{2} + t$ , $y = \sqrt{t^{2} - t}$
28024	Eliminate the Parameter	x=t^2+t , y=2t-t	$x = t^{2} + t$ , $y = 2 t - t$
28025	Eliminate the Parameter	x=t^2+t+1 , y=2t	$x = t^{2} + t + 1$ , $y = 2 t$
28026	Eliminate the Parameter	x=t^2-4 , y=t/2	$x = t^{2} - 4$ , $y = \frac{t}{2}$
28027	Find the Intersection of the Inequalities	sin(t)>0 , cos(t)<0	$\sin (t) > 0$ , $\cos (t) < 0$
28028	Find the Intersection of the Inequalities	tan(x)<0 , sec(x)<0	$\tan (x) < 0$ , $\sec (x) < 0$
28029	Find the Intersection of the Inequalities	tan(x)<0 , sin(x)<0	$\tan (x) < 0$ , $\sin (x) < 0$
28030	Find the Intersection of the Inequalities	w<3 , w=5	$w < 3$ , $w = 5$
28031	Find the Intersection of the Inequalities	x+2x=1 , 4x>1	$x + 2 x = 1$ , $4 x > 1$
28032	Find the Intersection of the Inequalities	x+2y=32 , 3x+2y=36 , x=8 , x=0 , y=0	$x + 2 y = 32$ , $3 x + 2 y = 36$ , $x = 8$ , $x = 0$ , $y = 0$
28033	Find the Intersection of the Inequalities	x+2y=8 , 3x-2y=0	$x + 2 y = 8$ , $3 x - 2 y = 0$
28034	Find the Intersection of the Inequalities	x+2y>7 , 3x-y=0	$x + 2 y > 7$ , $3 x - y = 0$
28035	Find the Intersection of the Inequalities	x+3y=12 , 3x+y=12 , y=0 , x=0	$x + 3 y = 12$ , $3 x + y = 12$ , $y = 0$ , $x = 0$
28036	Find the Intersection of the Inequalities	x+3y>-4 , 3x+y=4	$x + 3 y > - 4$ , $3 x + y = 4$
28037	Find the Intersection of the Inequalities	x+4=-4 , 2x-y=4	$x + 4 = - 4$ , $2 x - y = 4$
28038	Find the Intersection of the Inequalities	x+4y=8 , y<2x-1	$x + 4 y = 8$ , $y < 2 x - 1$
28039	Find the Intersection of the Inequalities	x+4y=8 , y=x-7	$x + 4 y = 8$ , $y = x - 7$
28040	Find the Intersection of the Inequalities	x+y=0 , 2x-y=2	$x + y = 0$ , $2 x - y = 2$
28041	Find the Intersection of the Inequalities	x+y=1 , x-y=5	$x + y = 1$ , $x - y = 5$
28042	Find the Intersection of the Inequalities	x+y=1 , 2x+y=2	$x + y = 1$ , $2 x + y = 2$
28043	Find the Intersection of the Inequalities	x+y=2 , x-y=6	$x + y = 2$ , $x - y = 6$
28044	Find the Intersection of the Inequalities	x+y=4 , x-y=-3 , x=0 , y=0	$x + y = 4$ , $x - y = - 3$ , $x = 0$ , $y = 0$
28045	Find the Intersection of the Inequalities	x+y=5 , 4x-y=5	$x + y = 5$ , $4 x - y = 5$
28046	Find the Intersection of the Inequalities	-x+y>-3 , -8x+2y<4 , y<-5/4x+21/2	$- x + y > - 3$ , $- 8 x + 2 y < 4$ , $y < - \frac{5}{4} x + \frac{21}{2}$
28047	Find the Intersection of the Inequalities	x=0 , y=0 , 3x+4y=36 , x+y=4	$x = 0$ , $y = 0$ , $3 x + 4 y = 36$ , $x + y = 4$
28048	Find the Intersection of the Inequalities	x=0 , y=0 , 2x+y=4	$x = 0$ , $y = 0$ , $2 x + y = 4$
28049	Find the Intersection of the Inequalities	x=0 , y=0 , x+y=1	$x = 0$ , $y = 0$ , $x + y = 1$
28050	Find the Intersection of the Inequalities	x=0 , y=0 , x+y=5 , x+2y=6	$x = 0$ , $y = 0$ , $x + y = 5$ , $x + 2 y = 6$
28051	Find the Intersection of the Inequalities	x=1 , y=15 , y=2x-5	$x = 1$ , $y = 15$ , $y = 2 x - 5$
28052	Find the Intersection of the Inequalities	x=1 , y=15-3x , y=2x-5	$x = 1$ , $y = 15 - 3 x$ , $y = 2 x - 5$
28053	Find the Intersection of the Inequalities	x=3 , y=-4	$x = 3$ , $y = - 4$
28054	Find the Intersection of the Inequalities	3x+y=7 , x-2y=1 , x=0	$3 x + y = 7$ , $x - 2 y = 1$ , $x = 0$
28055	Find the Intersection of the Inequalities	3x-4y=12 , 4x+5y=20	$3 x - 4 y = 12$ , $4 x + 5 y = 20$
28056	Find the Intersection of the Inequalities	3x-6y=0 , 6x+3y=18	$3 x - 6 y = 0$ , $6 x + 3 y = 18$
28057	Find the Intersection of the Inequalities	3x-y=9 , 6x-2y=0	$3 x - y = 9$ , $6 x - 2 y = 0$
28058	Find the Intersection of the Inequalities	3y-2x=-6 , 3y+3x=-18 , y=0 , x=0	$3 y - 2 x = - 6$ , $3 y + 3 x = - 18$ , $y = 0$ , $x = 0$
28059	Find the Intersection of the Inequalities	-4u>24 , 2u-3=9	$- 4 u > 24$ , $2 u - 3 = 9$
28060	Find the Intersection of the Inequalities	4w+5<17 , 3w-2<-14	$4 w + 5 < 17$ , $3 w - 2 < - 14$
28061	Find the Intersection of the Inequalities	4x+3y=-6 , 2x-y=-8	$4 x + 3 y = - 6$ , $2 x - y = - 8$
28062	Find the Intersection of the Inequalities	4x+8y=8 , 3x+y=6	$4 x + 8 y = 8$ , $3 x + y = 6$
28063	Find the Intersection of the Inequalities	4x-6y=0 , 6x+4y=24	$4 x - 6 y = 0$ , $6 x + 4 y = 24$
28064	Find the Intersection of the Inequalities	5.3x-y=180 , 4.2y-y=141	$5.3 x - y = 180$ , $4.2 y - y = 141$
28065	Find the Intersection of the Inequalities	5x+4=14 , 3-x>4	$5 x + 4 = 14$ , $3 - x > 4$
28066	Find the Intersection of the Inequalities	5x+4y=12 , 5x-4y=-36 , x-4y=12	$5 x + 4 y = 12$ , $5 x - 4 y = - 36$ , $x - 4 y = 12$
28067	Find the Intersection of the Inequalities	5x-2y<10 , y>3x+2	$5 x - 2 y < 10$ , $y > 3 x + 2$
28068	Find the Intersection of the Inequalities	5x-4y=-8 , 2x+y=8 , y=0 , x=0	$5 x - 4 y = - 8$ , $2 x + y = 8$ , $y = 0$ , $x = 0$
28069	Solve Using a Matrix with Cramer's Rule	-x+y-3z=-4 , 2x+6y-4z=-2 , -5x+5y-15z=-20	$- x + y - 3 z = - 4$ , $2 x + 6 y - 4 z = - 2$ , $- 5 x + 5 y - 15 z = - 20$
28070	Solve Using a Matrix with Cramer's Rule	x+y-4z=-48 , 2x-y+7z=99 , x-2y+2z=-15	$x + y - 4 z = - 48$ , $2 x - y + 7 z = 99$ , $x - 2 y + 2 z = - 15$
28071	Eliminate the Parameter	x=2-3t , y=5+t	$x = 2 - 3 t$ , $y = 5 + t$
28072	Eliminate the Parameter	x=25t^2 , y=t-2	$x = 25 t^{2}$ , $y = t - 2$
28073	Eliminate the Parameter	x=2t+3 , y=t-4	$x = 2 t + 3$ , $y = t - 4$
28074	Eliminate the Parameter	x=2t-1 , y=t^3	$x = 2 t - 1$ , $y = t^{3}$
28075	Eliminate the Parameter	x=3t^2 , y=2t+1	$x = 3 t^{2}$ , $y = 2 t + 1$
28076	Graph	((x-3)^2)/81-((y+5)^2)/144=1	$\frac{{(x - 3)}^{2}}{81} - \frac{{(y + 5)}^{2}}{144} = 1$
28077	Eliminate the Parameter	x=-3+9t , y=7+9t	$x = - 3 + 9 t$ , $y = 7 + 9 t$
28078	Eliminate the Parameter	x=3-2t , y=3t+2	$x = 3 - 2 t$ , $y = 3 t + 2$
28079	Find the Intersection of the Inequalities	cot(x)>0 , cos(x)>0	$\cot (x) > 0$ , $\cos (x) > 0$
28080	Find the Intersection of the Inequalities	cot(x)>0 , sec(x)<0	$\cot (x) > 0$ , $\sec (x) < 0$
28081	Find the Intersection of the Inequalities	sec(x)<0 , tan(x)<0	$\sec (x) < 0$ , $\tan (x) < 0$
28082	Find the Intersection of the Inequalities	sec(x)>0 , tan(x)<0	$\sec (x) > 0$ , $\tan (x) < 0$
28083	Find the Intersection of the Inequalities	x>1 , x>5	$x > 1$ , $x > 5$
28084	Find the Intersection of the Inequalities	y=x^2-16 , x-y=-4	$y = x^{2} - 16$ , $x - y = - 4$
28085	Find the Intersection of the Inequalities	y=x^2-25 , x-y=-5	$y = x^{2} - 25$ , $x - y = - 5$
28086	Find the Intersection of the Inequalities	y=x^2-4 , x-y=-2	$y = x^{2} - 4$ , $x - y = - 2$
28087	Find the Intersection of the Inequalities	y=x^2-4 , y=x-2	$y = x^{2} - 4$ , $y = x - 2$
28088	Find the Intersection of the Inequalities	y=x^2-49 , x-y=-7	$y = x^{2} - 49$ , $x - y = - 7$
28089	Find the Intersection of the Inequalities	y=-0.5x+1 , y=-3x+5 , y=2x+2	$y = - 0.5 x + 1$ , $y = - 3 x + 5$ , $y = 2 x + 2$
28090	Find the Intersection of the Inequalities	y=-2x+9 , 10=(x-5)^2+2y	$y = - 2 x + 9$ , $10 = {(x - 5)}^{2} + 2 y$
28091	Find the Intersection of the Inequalities	y=2x+9 , y<-3x-7	$y = 2 x + 9$ , $y < - 3 x - 7$
28092	Find the Intersection of the Inequalities	y=-2x-2 , y=2x-2	$y = - 2 x - 2$ , $y = 2 x - 2$
28093	Find the Intersection of the Inequalities	y=2x-5 , x+y=8	$y = 2 x - 5$ , $x + y = 8$
28094	Find the Intersection of the Inequalities	y=2x-7 , y>1/2x-1	$y = 2 x - 7$ , $y > \frac{1}{2} x - 1$
28095	Find the Intersection of the Inequalities	y=-4x-2 , y<x+3	$y = - 4 x - 2$ , $y < x + 3$
28096	Find the Intersection of the Inequalities	y=4x-5 , y<-2x+3	$y = 4 x - 5$ , $y < - 2 x + 3$
28097	Find the Intersection of the Inequalities	y=5x-2 , x+y=3	$y = 5 x - 2$ , $x + y = 3$
28098	Find the Intersection of the Inequalities	y=5x-3 , x<5	$y = 5 x - 3$ , $x < 5$
28099	Find the Intersection of the Inequalities	y=x , y=-x+6	$y = x$ , $y = - x + 6$
28100	Find the Intersection of the Inequalities	y=x , y=4-x	$y = x$ , $y = 4 - x$