Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
4101	Find the Union of the Inequalities	2x+y=30 , x+2y=24 , x , y=0	$2 x + y = 30$ , $x + 2 y = 24$ , $x$ , $y = 0$
4102	Find the Union of the Inequalities	2x+y=4 , y-1<0	$2 x + y = 4$ , $y - 1 < 0$
4103	Find the Union of the Inequalities	3u-4=2 , -2u=2	$3 u - 4 = 2$ , $- 2 u = 2$
4104	Find the Intersection of the Inequalities	x+3y=15 , 2x+y=10 , x=0 , y=0	$x + 3 y = 15$ , $2 x + y = 10$ , $x = 0$ , $y = 0$
4105	Find the Intersection of the Inequalities	x+3y=18 , 2x+4=16	$x + 3 y = 18$ , $2 x + 4 = 16$
4106	Find the Intersection of the Inequalities	x+3y=18 , 2x+y=16 , x=0 , y=0	$x + 3 y = 18$ , $2 x + y = 16$ , $x = 0$ , $y = 0$
4107	Find the Intersection of the Inequalities	x+y=120 , 20x+10y=1500	$x + y = 120$ , $20 x + 10 y = 1500$
4108	Find the Intersection of the Inequalities	-x+y<4 , 2y=2x-4	$- x + y < 4$ , $2 y = 2 x - 4$
4109	Find the Intersection of the Inequalities	-x+y=0 , 4x-2y=8 , x=-5	$- x + y = 0$ , $4 x - 2 y = 8$ , $x = - 5$
4110	Find the Intersection of the Inequalities	x+y=75 , 60x+30y=2100 , 2x+y=120 , x=0 , y=0	$x + y = 75$ , $60 x + 30 y = 2100$ , $2 x + y = 120$ , $x = 0$ , $y = 0$
4111	Find the Intersection of the Inequalities	x+y>4 , x+y<-6	$x + y > 4$ , $x + y < - 6$
4112	Find the Intersection of the Inequalities	x-2y=12 , 2x+y=4	$x - 2 y = 12$ , $2 x + y = 4$
4113	Find the Intersection of the Inequalities	4x+3y=300 , 50x+250y=10000	$4 x + 3 y = 300$ , $50 x + 250 y = 10000$
4114	Find the Intersection of the Inequalities	4x+6y=24 , x+2y=2	$4 x + 6 y = 24$ , $x + 2 y = 2$
4115	Find the Intersection of the Inequalities	4x-5y=-3 , x-2y=-10	$4 x - 5 y = - 3$ , $x - 2 y = - 10$
4116	Find the Intersection of the Inequalities	5x1+x2=50 , 9x1+2x2=70 , x1+x2=60 , x1 , x2=0	$5 x \cdot 1 + x \cdot 2 = 50$ , $9 x \cdot 1 + 2 x \cdot 2 = 70$ , $x \cdot 1 + x \cdot 2 = 60$ , $x \cdot 1$ , $x \cdot 2 = 0$
4117	Find the Intersection of the Inequalities	5x+5y=25 , 2x-5y=10	$5 x + 5 y = 25$ , $2 x - 5 y = 10$
4118	Find the Intersection of the Inequalities	5x+y=6 , x-y=3	$5 x + y = 6$ , $x - y = 3$
4119	Find the Intersection of the Inequalities	5x-y=15 , 3x+y=12	$5 x - y = 15$ , $3 x + y = 12$
4120	Find the Intersection of the Inequalities	6x+2y=-18 , 7y-35=28	$6 x + 2 y = - 18$ , $7 y - 35 = 28$
4121	Find the Intersection of the Inequalities	6x+8y=300 , 15x+22y=330	$6 x + 8 y = 300$ , $15 x + 22 y = 330$
4122	Find the Intersection of the Inequalities	f(x,y)*(5x)+8yx+y>6 , 2x+3y<18 , x>0 , y>0	$f (x, y) \cdot (5 x) + 8 y x + y > 6$ , $2 x + 3 y < 18$ , $x > 0$ , $y > 0$
4123	Find the Intersection of the Inequalities	x+12y=2 , x+y=0	$x + 12 y = 2$ , $x + y = 0$
4124	Find the Intersection of the Inequalities	x+2y=2 , 4x-2y=0	$x + 2 y = 2$ , $4 x - 2 y = 0$
4125	Find the Intersection of the Inequalities	x+y=80000 , y=8000	$x + y = 80000$ , $y = 8000$
4126	Find the Intersection of the Inequalities	x=2 , y=6 , 3x+2y=30	$x = 2$ , $y = 6$ , $3 x + 2 y = 30$
4127	Find the Intersection of the Inequalities	x=2y , y=10 , 0 , x-y=75 , 0	$x = 2 y$ , $y = 10$ , $0$ , $x - y = 75$ , $0$
4128	Find the Intersection of the Inequalities	x-2y=-2 , 3x+y=6	$x - 2 y = - 2$ , $3 x + y = 6$
4129	Find the Intersection of the Inequalities	x-2y=-4 , 3x+y=6	$x - 2 y = - 4$ , $3 x + y = 6$
4130	Find the Intersection of the Inequalities	x-y=-4 , 3x+2y=18	$x - y = - 4$ , $3 x + 2 y = 18$
4131	Find the Intersection of the Inequalities	y=-1/2x+800 , y=-3/4x+900 , y=-3/2x+1350	$y = - \frac{1}{2} x + 800$ , $y = - \frac{3}{4} x + 900$ , $y = - \frac{3}{2} x + 1350$
4132	Find the Intersection of the Inequalities	y=15/2-(5x)/4 , y=6-(2x)/3 , y=20/2-(2x)/3	$y = \frac{15}{2} - \frac{5 x}{4}$ , $y = 6 - \frac{2 x}{3}$ , $y = \frac{20}{2} - \frac{2 x}{3}$
4133	Find the Intersection of the Inequalities	y=15/2-(5x)/4 , y=6-(2x)/3 , y=20/3-(2x)/3	$y = \frac{15}{2} - \frac{5 x}{4}$ , $y = 6 - \frac{2 x}{3}$ , $y = \frac{20}{3} - \frac{2 x}{3}$
4134	Find the Intersection of the Inequalities	y=-x/3+21 , y=-3x+21	$y = - \frac{x}{3} + 21$ , $y = - 3 x + 21$
4135	Find the Intersection of the Inequalities	y=x^2+6x+10 , y<-x^2-8x-14	$y = x^{2} + 6 x + 10$ , $y < - x^{2} - 8 x - 14$
4136	Find the Intersection of the Inequalities	y=-2x+11 , y=-x+10 , y=-1/3x+6 , y=-1/4x+4	$y = - 2 x + 11$ , $y = - x + 10$ , $y = - \frac{1}{3} x + 6$ , $y = - \frac{1}{4} x + 4$
4137	Find the Intersection of the Inequalities	y=2x+3 , y>6x+9	$y = 2 x + 3$ , $y > 6 x + 9$
4138	Find the Intersection of the Inequalities	y=2x-2 , x=-4y-16	$y = 2 x - 2$ , $x = - 4 y - 16$
4139	Find the Intersection of the Inequalities	y=4x , x=2y	$y = 4 x$ , $x = 2 y$
4140	Find the Intersection of the Inequalities	y=-x+6 , y=x+2 , x=0 , y=0	$y = - x + 6$ , $y = x + 2$ , $x = 0$ , $y = 0$
4141	Find the Intersection of the Inequalities	y>3x , y=x-2	$y > 3 x$ , $y = x - 2$
4142	Find the Intersection of the Inequalities	y>6x-2 , y<-3x+4	$y > 6 x - 2$ , $y < - 3 x + 4$
4143	Find the Intersection of the Inequalities	y-3x=5 , y=2-x , x=0 , y=0	$y - 3 x = 5$ , $y = 2 - x$ , $x = 0$ , $y = 0$
4144	Find the Intersection of the Inequalities	1/2x+3/4y=162 , 1/2x+1/4y=102	$\frac{1}{2} x + \frac{3}{4} y = 162$ , $\frac{1}{2} x + \frac{1}{4} y = 102$
4145	Find the Intersection of the Inequalities	128x+64y=10240 , 12x+12y=2000 , 0.5x+y=91(-10)	$128 x + 64 y = 10240$ , $12 x + 12 y = 2000$ , $0.5 x + y = 91 (- 10)$
4146	Find the Intersection of the Inequalities	2w+4=2 , 4w-3>-19	$2 w + 4 = 2$ , $4 w - 3 > - 19$
4147	Find the Intersection of the Inequalities	2x+2y=4 , 5x-3y=15	$2 x + 2 y = 4$ , $5 x - 3 y = 15$
4148	Find the Intersection of the Inequalities	2x+3y=12 , y=-7/4x+7	$2 x + 3 y = 12$ , $y = - \frac{7}{4} x + 7$
4149	Find the Intersection of the Inequalities	2x+3y=6 , 5x-4y=20	$2 x + 3 y = 6$ , $5 x - 4 y = 20$
4150	Find the Intersection of the Inequalities	2x+3y=60 , 3x+2y=60	$2 x + 3 y = 60$ , $3 x + 2 y = 60$
4151	Find the Intersection of the Inequalities	2x+5y=10 , x-3y=3	$2 x + 5 y = 10$ , $x - 3 y = 3$
4152	Find the Intersection of the Inequalities	2x+5y=20 , x-5y=-5	$2 x + 5 y = 20$ , $x - 5 y = - 5$
4153	Find the Intersection of the Inequalities	2x+y=20 , x+2y=16 , x , y=0	$2 x + y = 20$ , $x + 2 y = 16$ , $x$ , $y = 0$
4154	Find the Intersection of the Inequalities	2x-3y=-5 , x-2y=-8	$2 x - 3 y = - 5$ , $x - 2 y = - 8$
4155	Find the Intersection of the Inequalities	3x+2y=6 , 4x-5y=20	$3 x + 2 y = 6$ , $4 x - 5 y = 20$
4156	Find the Intersection of the Inequalities	3x+y=6 , x+2y=7 , x=0 , y=0	$3 x + y = 6$ , $x + 2 y = 7$ , $x = 0$ , $y = 0$
4157	Find the Intersection of the Inequalities	2x-y<4 , y=-x+2	$2 x - y < 4$ , $y = - x + 2$
4158	Find the Intersection of the Inequalities	2x-y=4 , 4x-2y<-2	$2 x - y = 4$ , $4 x - 2 y < - 2$
4159	Find the Intersection of the Inequalities	-2x-y=8 , y=-2 , x=-8	$- 2 x - y = 8$ , $y = - 2$ , $x = - 8$
4160	Find the Intersection of the Inequalities	32x+38y=2000 , 4x+6y=280	$32 x + 38 y = 2000$ , $4 x + 6 y = 280$
4161	Find the Intersection of the Inequalities	3x+2y=12 , 4x-5y=0	$3 x + 2 y = 12$ , $4 x - 5 y = 0$
4162	Find the Intersection of the Inequalities	3x+2y=12 , x=0 , y=0	$3 x + 2 y = 12$ , $x = 0$ , $y = 0$
4163	Find the Intersection of the Inequalities	3x+2y=17 , -2x+3y=6 , x=0 , y=0	$3 x + 2 y = 17$ , $- 2 x + 3 y = 6$ , $x = 0$ , $y = 0$
4164	Find the Intersection of the Inequalities	3x+2y=19 , -2x+3y=9 , x=0 , y=0	$3 x + 2 y = 19$ , $- 2 x + 3 y = 9$ , $x = 0$ , $y = 0$
4165	Find the Intersection of the Inequalities	3x+4y<6 , 2x-3y>4	$3 x + 4 y < 6$ , $2 x - 3 y > 4$
4166	Find the Intersection of the Inequalities	3x+6y=6 , 5x+y=10	$3 x + 6 y = 6$ , $5 x + y = 10$
4167	Find the Intersection of the Inequalities	3x+y=2 , x=3	$3 x + y = 2$ , $x = 3$
4168	Find the Intersection of the Inequalities	3x+y=24 , x+y=16 , x+3y=30 , x=0 , y=0	$3 x + y = 24$ , $x + y = 16$ , $x + 3 y = 30$ , $x = 0$ , $y = 0$
4169	Find the Intersection of the Inequalities	2x+y=16 , x+y=10 , x+2y=18 , x=0 , y=0	$2 x + y = 16$ , $x + y = 10$ , $x + 2 y = 18$ , $x = 0$ , $y = 0$
4170	Find the Intersection of the Inequalities	2x+y=18 , x+y=10 , x+2y=16 , xy=0	$2 x + y = 18$ , $x + y = 10$ , $x + 2 y = 16$ , $x y = 0$
4171	Find the Intersection of the Inequalities	2x+y=20 , x+y=14 , x+2y=26 , x=0 , y=0	$2 x + y = 20$ , $x + y = 14$ , $x + 2 y = 26$ , $x = 0$ , $y = 0$
4172	Find the Intersection of the Inequalities	2x+y=200 , x+2y=200	$2 x + y = 200$ , $x + 2 y = 200$
4173	Find the Intersection of the Inequalities	2x+y=24 , 60x+12y=405 , x , y=0	$2 x + y = 24$ , $60 x + 12 y = 405$ , $x$ , $y = 0$
4174	Find the Intersection of the Inequalities	2x+y=40 , x+2y=32 , x , y=0	$2 x + y = 40$ , $x + 2 y = 32$ , $x$ , $y = 0$
4175	Find the Intersection of the Inequalities	2x+y=6 , x+y=4 , x=1 , x=0	$2 x + y = 6$ , $x + y = 4$ , $x = 1$ , $x = 0$
4176	Find the Intersection of the Inequalities	2x+y=8 , 3x+9y=27 , x , y=0	$2 x + y = 8$ , $3 x + 9 y = 27$ , $x$ , $y = 0$
4177	Find the Intersection of the Inequalities	2x-1=0 , \|x-(2x-1)\|<x	$2 x - 1 = 0$ , $\| x - (2 x - 1) \| < x$
4178	Minimize the Equation given the Constraints	z=4x+9y , x-y=-10 , 3x+2y=30 , x=0 , y=0	$z = 4 x + 9 y$ , $x - y = - 10$ , $3 x + 2 y = 30$ , $x = 0$ , $y = 0$
4179	Minimize the Equation given the Constraints	z=5x+30y , 9x+12y=61 , 8x+4y=32	$z = 5 x + 30 y$ , $9 x + 12 y = 61$ , $8 x + 4 y = 32$
4180	Minimize the Equation given the Constraints	z=5x+3y , 8x+5y=40 , 4x+10y=40 , x=0 , y=0	$z = 5 x + 3 y$ , $8 x + 5 y = 40$ , $4 x + 10 y = 40$ , $x = 0$ , $y = 0$
4181	Minimize the Equation given the Constraints	z=5x+3y , x+y=9 , -x+y=5 , 2x-y=14	$z = 5 x + 3 y$ , $x + y = 9$ , $- x + y = 5$ , $2 x - y = 14$
4182	Minimize the Equation given the Constraints	z=5x+7y , x-y=1 , 3x+2y=18 , x=0 , y=0	$z = 5 x + 7 y$ , $x - y = 1$ , $3 x + 2 y = 18$ , $x = 0$ , $y = 0$
4183	Minimize the Equation given the Constraints	z=5x+7y , x-y=3 , 3x+2y=24 , x=0 , y=0	$z = 5 x + 7 y$ , $x - y = 3$ , $3 x + 2 y = 24$ , $x = 0$ , $y = 0$
4184	Minimize the Equation given the Constraints	z=5x+8y , x-y=3 , 3x+2y=24 , x=0 , y=0	$z = 5 x + 8 y$ , $x - y = 3$ , $3 x + 2 y = 24$ , $x = 0$ , $y = 0$
4185	Minimize the Equation given the Constraints	z=5x+8y , x-y=-4 , 3x+2y=18 , x=0 , y=0	$z = 5 x + 8 y$ , $x - y = - 4$ , $3 x + 2 y = 18$ , $x = 0$ , $y = 0$
4186	Minimize the Equation given the Constraints	z=6x+9y , x+y=20 , 4x+y=20 , x+4y=20 , x=0 , y=0	$z = 6 x + 9 y$ , $x + y = 20$ , $4 x + y = 20$ , $x + 4 y = 20$ , $x = 0$ , $y = 0$
4187	Minimize the Equation given the Constraints	z=6x+9y , x-y=-10 , 3x+2y=30 , x=0 , y=0	$z = 6 x + 9 y$ , $x - y = - 10$ , $3 x + 2 y = 30$ , $x = 0$ , $y = 0$
4188	Minimize the Equation given the Constraints	z=6x+y , x-y=-10 , 3x+2y=30 , x=0 , y=0	$z = 6 x + y$ , $x - y = - 10$ , $3 x + 2 y = 30$ , $x = 0$ , $y = 0$
4189	Minimize the Equation given the Constraints	z=8x+5y , 4x-y=14 , 2x+y=10 , x=2 , y=10	$z = 8 x + 5 y$ , $4 x - y = 14$ , $2 x + y = 10$ , $x = 2$ , $y = 10$
4190	Minimize the Equation given the Constraints	z=8x+7y , 4x+3y=24 , 3x+4y=8	$z = 8 x + 7 y$ , $4 x + 3 y = 24$ , $3 x + 4 y = 8$
4191	Minimize the Equation given the Constraints	z=9x+5y , 5x+4y=20 , x+4y=8 , x=0 , y=0	$z = 9 x + 5 y$ , $5 x + 4 y = 20$ , $x + 4 y = 8$ , $x = 0$ , $y = 0$
4192	Minimize the Equation given the Constraints	z=x+3y , 2x+3y=100 , 5x=4y=200	$z = x + 3 y$ , $2 x + 3 y = 100$ , $5 x = 4 y = 200$
4193	Find the Intersection of the Inequalities	0.09x+0.006y=15.2 , x+y=560	$0.09 x + 0.006 y = 15.2$ , $x + y = 560$
4194	Find the Intersection of the Inequalities	0.4x+0.8y=5 , 8x+y=18	$0.4 x + 0.8 y = 5$ , $8 x + y = 18$
4195	Find the Intersection of the Inequalities	10c+4h+8m=650 , 2c+h+3m=1000	$10 c + 4 h + 8 m = 650$ , $2 c + h + 3 m = 1000$
4196	Find the Intersection of the Inequalities	10x+5y=50 , 5x+10y=50 , 5x+5y=40	$10 x + 5 y = 50$ , $5 x + 10 y = 50$ , $5 x + 5 y = 40$
4197	Find the Intersection of the Inequalities	10x-30y>1500 , x=0 , y=0	$10 x - 30 y > 1500$ , $x = 0$ , $y = 0$
4198	Find the Intersection of the Inequalities	12x-30y<1200 , x=0 , y=0	$12 x - 30 y < 1200$ , $x = 0$ , $y = 0$
4199	Find the Intersection of the Inequalities	14x-20y>1700 , x=0 , y=0	$14 x - 20 y > 1700$ , $x = 0$ , $y = 0$
4200	Find the Intersection of the Inequalities	16x+12y=96 , 20x+20y=140	$16 x + 12 y = 96$ , $20 x + 20 y = 140$