Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3801	Solve in Terms of the Arbitrary Variable x	p=290.00 , r=x% , t=13.50	$p = 290$ , $r = x %$ , $t = 13.5$
3802	Solve in Terms of the Arbitrary Variable x	x+3y+6z=20 , 2x-3y+3z=4	$x + 3 y + 6 z = 20$ , $2 x - 3 y + 3 z = 4$
3803	Solve in Terms of the Arbitrary Variable x	x=3t , y=2-t	$x = 3 t$ , $y = 2 - t$
3804	Solve in Terms of the Arbitrary Variable y	2x+2y-z=7 , x-3y+z=24	$2 x + 2 y - z = 7$ , $x - 3 y + z = 24$
3805	Solve in Terms of the Arbitrary Variable y	-4x-16y-2z=18 , -2x-8y-z=9	$- 4 x - 16 y - 2 z = 18$ , $- 2 x - 8 y - z = 9$
3806	Solve in Terms of the Arbitrary Variable y	6x-6y+z=15 , x+y=5	$6 x - 6 y + z = 15$ , $x + y = 5$
3807	Solve in Terms of the Arbitrary Variable y	7x+3y+5z=16 , 3x+y+2z=20	$7 x + 3 y + 5 z = 16$ , $3 x + y + 2 z = 20$
3808	Solve in Terms of the Arbitrary Variable y	x+2y+2z=45000 , 0.10x+0.07y+0.075z=3660	$x + 2 y + 2 z = 45000$ , $0.1 x + 0.07 y + 0.075 z = 3660$
3809	Find the Union of the Inequalities	4x+2y=56 , x+y=18	$4 x + 2 y = 56$ , $x + y = 18$
3810	Find the Union of the Inequalities	5x+4y=120 , x+y=36 , xy=0	$5 x + 4 y = 120$ , $x + y = 36$ , $x y = 0$
3811	Find the Union of the Inequalities	7x+3y=88 , x+y=15 , 4x+6y=69 , x=0 , y=0	$7 x + 3 y = 88$ , $x + y = 15$ , $4 x + 6 y = 69$ , $x = 0$ , $y = 0$
3812	Find the Union of the Inequalities	81x+9y=810 , 7x+y=84	$81 x + 9 y = 810$ , $7 x + y = 84$
3813	Find the Union of the Inequalities	8x+3y=92 , x+y=11 , 3x+7y=72 , x=0 , y=0	$8 x + 3 y = 92$ , $x + y = 11$ , $3 x + 7 y = 72$ , $x = 0$ , $y = 0$
3814	Find the Union of the Inequalities	x+3y=6 , 2x+4y=7	$x + 3 y = 6$ , $2 x + 4 y = 7$
3815	Find the Union of the Inequalities	x+3y=6 , 4x-3y=12 , x=0 , y=0	$x + 3 y = 6$ , $4 x - 3 y = 12$ , $x = 0$ , $y = 0$
3816	Find the Union of the Inequalities	x+y=1 , x-y=2	$x + y = 1$ , $x - y = 2$
3817	Find the Union of the Inequalities	x+y=130 , 20x+15y=1500 , x=45 , y=32	$x + y = 130$ , $20 x + 15 y = 1500$ , $x = 45$ , $y = 32$
3818	Find the Union of the Inequalities	x+y=2 , x+3y=3	$x + y = 2$ , $x + 3 y = 3$
3819	Find the Union of the Inequalities	x+y=2 , y-x=-1 , y=4	$x + y = 2$ , $y - x = - 1$ , $y = 4$
3820	Find the Union of the Inequalities	x+y=30 , x+2y=50 , x=0 , y=0	$x + y = 30$ , $x + 2 y = 50$ , $x = 0$ , $y = 0$
3821	Find the Union of the Inequalities	x+y=4 , x-y=6	$x + y = 4$ , $x - y = 6$
3822	Find the Union of the Inequalities	x+y=5 , x-y=5 , x-y=-5	$x + y = 5$ , $x - y = 5$ , $x - y = - 5$
3823	Find the Union of the Inequalities	x=3 , x<2	$x = 3$ , $x < 2$
3824	Find the Union of the Inequalities	x-y=3 , x=3	$x - y = 3$ , $x = 3$
3825	Find the Union of the Inequalities	y=0 , x-y=3 , 2x+y=5	$y = 0$ , $x - y = 3$ , $2 x + y = 5$
3826	Find the Union of the Inequalities	y=x+2 , y=-x+1	$y = x + 2$ , $y = - x + 1$
3827	Find the Union of the Inequalities	2x+3y=100 , 5x+4y=200 , x=10 , y=20	$2 x + 3 y = 100$ , $5 x + 4 y = 200$ , $x = 10$ , $y = 20$
3828	Find the Union of the Inequalities	2x+3y=12 , 2x+y=8 , x=0 , y=0	$2 x + 3 y = 12$ , $2 x + y = 8$ , $x = 0$ , $y = 0$
3829	Find the Union of the Inequalities	30x+20y=280 , 10x+25y=300 , y=8	$30 x + 20 y = 280$ , $10 x + 25 y = 300$ , $y = 8$
3830	Find the Union of the Inequalities	4x+3y=36 , 2x+4y=40	$4 x + 3 y = 36$ , $2 x + 4 y = 40$
3831	Find the Union of the Inequalities	4x+5y=27 , 8x+4y=32	$4 x + 5 y = 27$ , $8 x + 4 y = 32$
3832	Find the Union of the Inequalities	50x+26y=3500 , x=0 , y=0	$50 x + 26 y = 3500$ , $x = 0$ , $y = 0$
3833	Find the Union of the Inequalities	7x-y=14 , 3x+y=13 , x=2 , y=9	$7 x - y = 14$ , $3 x + y = 13$ , $x = 2$ , $y = 9$
3834	Find the Union of the Inequalities	8x+2y>16 , 5x-3y<15	$8 x + 2 y > 16$ , $5 x - 3 y < 15$
3835	Find the Union of the Inequalities	-x+2y=2 , x+y=2 , y=0	$- x + 2 y = 2$ , $x + y = 2$ , $y = 0$
3836	Find the Union of the Inequalities	x+2y=4 , 2x-y=6	$x + 2 y = 4$ , $2 x - y = 6$
3837	Find the Union of the Inequalities	x+y=120 , 20x+10y=1500 , x=45 , y=32	$x + y = 120$ , $20 x + 10 y = 1500$ , $x = 45$ , $y = 32$
3838	Find the Equation with Real Coefficients	0.3x+0.3x^2+0.8x^3=0 , 0.5x+0.6x^2=0 , 0.2x+0.1x^2+0.2x^3=0	$0.3 x + 0.3 x^{2} + 0.8 x^{3} = 0$ , $0.5 x + 0.6 x^{2} = 0$ , $0.2 x + 0.1 x^{2} + 0.2 x^{3} = 0$
3839	Find the Equation with Real Coefficients	-10-6y-z=-16 , -6x-10y-2z=4 , 8x+6y+z=10	$- 10 - 6 y - z = - 16$ , $- 6 x - 10 y - 2 z = 4$ , $8 x + 6 y + z = 10$
3840	Find the Equation with Real Coefficients	12x-3y=3 , y=4x-1	$12 x - 3 y = 3$ , $y = 4 x - 1$
3841	Find the Equation with Real Coefficients	1x+0y+3z=5 , 0x+1y-2z=4 , 0x+0y+0z=0	$1 x + 0 y + 3 z = 5$ , $0 x + 1 y - 2 z = 4$ , $0 x + 0 y + 0 z = 0$
3842	Find the Equation with Real Coefficients	2a-3b-2c=-9 , a+3b=3 , 5a+6b+2c=-24	$2 a - 3 b - 2 c = - 9$ , $a + 3 b = 3$ , $5 a + 6 b + 2 c = - 24$
3843	Find the Equation with Real Coefficients	2x+3y-z=2 , 3x+5y+z=5	$2 x + 3 y - z = 2$ , $3 x + 5 y + z = 5$
3844	Find the Equation with Real Coefficients	2x+4y=-6 , -3x-5y=12	$2 x + 4 y = - 6$ , $- 3 x - 5 y = 12$
3845	Find the Equation with Real Coefficients	2x+x=2 , y=-1/3x-3	$2 x + x = 2$ , $y = - \frac{1}{3} x - 3$
3846	Find the Equation with Real Coefficients	2x-5y=10 , 4x-10y=20	$2 x - 5 y = 10$ , $4 x - 10 y = 20$
3847	Find the Equation with Real Coefficients	3m+3n=-1 , 2m+5n=3	$3 m + 3 n = - 1$ , $2 m + 5 n = 3$
3848	Find the Equation with Real Coefficients	3x1(2x2)=9 , 6x1-5x*2=9	$3 x \cdot 1 \cdot (2 x \cdot 2) = 9$ , $6 x \cdot 1 - 5 x \cdot 2 = 9$
3849	Find the Equation with Real Coefficients	3x+2y+6z=2 , x+y+2z=1 , 2x+2y+5z=3	$3 x + 2 y + 6 z = 2$ , $x + y + 2 z = 1$ , $2 x + 2 y + 5 z = 3$
3850	Find the Equation with Real Coefficients	3x+y=5 , 12x+4y=20	$3 x + y = 5$ , $12 x + 4 y = 20$
3851	Find the Equation with Real Coefficients	3x-2y=7 , 9x-6y=14	$3 x - 2 y = 7$ , $9 x - 6 y = 14$
3852	Find the Equation with Real Coefficients	3x-4y+4z=10 , 3x+5y-z=15 , 12x-7y+11z=45	$3 x - 4 y + 4 z = 10$ , $3 x + 5 y - z = 15$ , $12 x - 7 y + 11 z = 45$
3853	Find the Equation with Real Coefficients	3x-4y+4z=4 , 3x+5y-z=9 , 12x-7y+11z=21	$3 x - 4 y + 4 z = 4$ , $3 x + 5 y - z = 9$ , $12 x - 7 y + 11 z = 21$
3854	Find the Equation with Real Coefficients	40y+20z=104 , 50x-10y-40z=161 , 10x+60y+40z=156	$40 y + 20 z = 104$ , $50 x - 10 y - 40 z = 161$ , $10 x + 60 y + 40 z = 156$
3855	Find the Equation with Real Coefficients	4x+3y=48 , 2x+6y=42 , 2x+y=20	$4 x + 3 y = 48$ , $2 x + 6 y = 42$ , $2 x + y = 20$
3856	Find the Equation with Real Coefficients	4x+7y=3 , 8x-y=-6	$4 x + 7 y = 3$ , $8 x - y = - 6$
3857	Find the Equation with Real Coefficients	4x-y-8z=2 , 3x+y-2=9 , 8x+y-7z=10	$4 x - y - 8 z = 2$ , $3 x + y - 2 = 9$ , $8 x + y - 7 z = 10$
3858	Find the Equation with Real Coefficients	5x-6y=8 , 10x-12y=16	$5 x - 6 y = 8$ , $10 x - 12 y = 16$
3859	Find the Equation with Real Coefficients	5x-7y+4z=13 , 10x-14y+8z=25 , -5x+7y-4z=-11	$5 x - 7 y + 4 z = 13$ , $10 x - 14 y + 8 z = 25$ , $- 5 x + 7 y - 4 z = - 11$
3860	Find the Equation with Real Coefficients	7x-4y+4z=6 , 7x+3yz=11 , 21x-5y^7z=23	$7 x - 4 y + 4 z = 6$ , $7 x + 3 y z = 11$ , $21 x - 5 y^{7} z = 23$
3861	Find the Equation with Real Coefficients	7x-8y=11 , 6x-7y=0	$7 x - 8 y = 11$ , $6 x - 7 y = 0$
3862	Find the Equation with Real Coefficients	7x-y+9z=5 , 5x+y-z=7 , 5x+y-6z=-4	$7 x - y + 9 z = 5$ , $5 x + y - z = 7$ , $5 x + y - 6 z = - 4$
3863	Find the Equation with Real Coefficients	82000=10x+6y+4z , 47000=5x+6y+2z	$82000 = 10 x + 6 y + 4 z$ , $47000 = 5 x + 6 y + 2 z$
3864	Find the Equation with Real Coefficients	8x1+9x2=117 , 4x1+6x2=66	$8 x \cdot 1 + 9 x \cdot 2 = 117$ , $4 x \cdot 1 + 6 x \cdot 2 = 66$
3865	Find the Equation with Real Coefficients	9x-7y+z=-5 , 7x-y+4z=9 , 9y-8z=-5	$9 x - 7 y + z = - 5$ , $7 x - y + 4 z = 9$ , $9 y - 8 z = - 5$
3866	Find the Equation with Real Coefficients	a*1=5 , r=1.25	$a \cdot 1 = 5$ , $r = 1.25$
3867	Find the Equation with Real Coefficients	a=10 , r=5	$a = 10$ , $r = 5$
3868	Find the Equation with Real Coefficients	a=19000 , p=12000 , t=72	$a = 19000$ , $p = 12000$ , $t = 72$
3869	Find the Equation with Real Coefficients	-a-3d=-4 , a+7d=1/64	$- a - 3 d = - 4$ , $a + 7 d = \frac{1}{64}$
3870	Find the Equation with Real Coefficients	ax+by=0 , x+b=4	$a x + b y = 0$ , $x + b = 4$
3871	Find the Equation with Real Coefficients	ax+by=c , dx+ey=f	$a x + b y = c$ , $d x + e y = f$
3872	Find the Equation with Real Coefficients	ax+y+z=a^2 , x+ay+z=1 , x+y+ax=a^3	$a x + y + z = a^{2}$ , $x + a y + z = 1$ , $x + y + a x = a^{3}$
3873	Find the Equation with Real Coefficients	b=155/49 , m=61/98	$b = \frac{155}{49}$ , $m = \frac{61}{98}$
3874	Find the Equation with Real Coefficients	c=0.90 , s=3.2 , n=11.49	$c = 0.9$ , $s = 3.2$ , $n = 11.49$
3875	Find the Equation with Real Coefficients	f=60000 , r=10% , t=6	$f = 60000$ , $r = 10 %$ , $t = 6$
3876	Find the Equation with Real Coefficients	g(2)=-4*2-1 , f(3)=-2(3)^2-3	$g (2) = - 4 \cdot 2 - 1$ , $f (3) = - 2 {(3)}^{2} - 3$
3877	Find the Equation with Real Coefficients	p=-q^2+8400 , p=50q	$p = - q^{2} + 8400$ , $p = 50 q$
3878	Find the Equation with Real Coefficients	x+2y+3z=0 , 2x+3y+z=-2 , x+y+az=0	$x + 2 y + 3 z = 0$ , $2 x + 3 y + z = - 2$ , $x + y + a z = 0$
3879	Minimize the Equation given the Constraints	z=2x+8y , x-y=-7 , 3x+2y=24 , x=0 , y=0	$z = 2 x + 8 y$ , $x - y = - 7$ , $3 x + 2 y = 24$ , $x = 0$ , $y = 0$
3880	Minimize the Equation given the Constraints	z=2x+9y , x-y=-7 , 3x+2y=24 , x=0 , y=0	$z = 2 x + 9 y$ , $x - y = - 7$ , $3 x + 2 y = 24$ , $x = 0$ , $y = 0$
3881	Minimize the Equation given the Constraints	z=3x+2x^2-4x^3 , x-x^2+x^3=10 , 2x-x^2+2x^3=30 , -3x+x^2+3x^3=40	$z = 3 x + 2 x^{2} - 4 x^{3}$ , $x - x^{2} + x^{3} = 10$ , $2 x - x^{2} + 2 x^{3} = 30$ , $- 3 x + x^{2} + 3 x^{3} = 40$
3882	Minimize the Equation given the Constraints	z=30x+40y , x+y=130 , 20x+15y=1500 , x=45 , y=32	$z = 30 x + 40 y$ , $x + y = 130$ , $20 x + 15 y = 1500$ , $x = 45$ , $y = 32$
3883	Minimize the Equation given the Constraints	z=3x+5y , x=4 , 2y=12 , 3x+2y=18	$z = 3 x + 5 y$ , $x = 4$ , $2 y = 12$ , $3 x + 2 y = 18$
3884	Minimize the Equation given the Constraints	z=3x+7y , x-y=3 , 3x+2y=24 , x=0 , y=0	$z = 3 x + 7 y$ , $x - y = 3$ , $3 x + 2 y = 24$ , $x = 0$ , $y = 0$
3885	Minimize the Equation given the Constraints	z=3x+8y , x-y=-1 , 3x+2y=12 , x=0 , y=0	$z = 3 x + 8 y$ , $x - y = - 1$ , $3 x + 2 y = 12$ , $x = 0$ , $y = 0$
3886	Minimize the Equation given the Constraints	z=3x+8y , x-y=1 , 3x+2y=18 , x=0 , y=0	$z = 3 x + 8 y$ , $x - y = 1$ , $3 x + 2 y = 18$ , $x = 0$ , $y = 0$
3887	Minimize the Equation given the Constraints	z=40x+10y , 3x+y=48 , x+y=24 , x+3y=36 , x=0 , y=0	$z = 40 x + 10 y$ , $3 x + y = 48$ , $x + y = 24$ , $x + 3 y = 36$ , $x = 0$ , $y = 0$
3888	Minimize the Equation given the Constraints	z=4x+4y , 4x-y=14 , 3x+y=13 , x=2 , y=9	$z = 4 x + 4 y$ , $4 x - y = 14$ , $3 x + y = 13$ , $x = 2$ , $y = 9$
3889	Minimize the Equation given the Constraints	z=4x+5y , 2x+y=20 , x+2y=16	$z = 4 x + 5 y$ , $2 x + y = 20$ , $x + 2 y = 16$
3890	Minimize the Equation given the Constraints	z=4x+5y , 2x+y=30 , x+2y=24	$z = 4 x + 5 y$ , $2 x + y = 30$ , $x + 2 y = 24$
3891	Minimize the Equation given the Constraints	z=4x+6y , x-y=-10 , 3x+2y=30 , x=0 , y=0	$z = 4 x + 6 y$ , $x - y = - 10$ , $3 x + 2 y = 30$ , $x = 0$ , $y = 0$
3892	Minimize the Equation given the Constraints	z=4x+7y , 2x+y=11 , x+2y=0 , x , y=0	$z = 4 x + 7 y$ , $2 x + y = 11$ , $x + 2 y = 0$ , $x$ , $y = 0$
3893	Minimize the Equation given the Constraints	c=4x+5y , x+2y=10 , 2x+3y=18 , x=0 , y=0	$c = 4 x + 5 y$ , $x + 2 y = 10$ , $2 x + 3 y = 18$ , $x = 0$ , $y = 0$
3894	Minimize the Equation given the Constraints	C=x+6y , 3x+4y=36 , x+3y=14	$C = x + 6 y$ , $3 x + 4 y = 36$ , $x + 3 y = 14$
3895	Minimize the Equation given the Constraints	F=5x+36y , 7x+5y=27 , 5x+7y=21 , x=0 , y=0	$F = 5 x + 36 y$ , $7 x + 5 y = 27$ , $5 x + 7 y = 21$ , $x = 0$ , $y = 0$
3896	Minimize the Equation given the Constraints	p=3x+5y+2z , 3x+10y+4z=120 , 5x+3y+8z=9 , 8x+10y+3z=104	$p = 3 x + 5 y + 2 z$ , $3 x + 10 y + 4 z = 120$ , $5 x + 3 y + 8 z = 9$ , $8 x + 10 y + 3 z = 104$
3897	Maximize the Equation given the Constraints	z=8x+7y , 4x+3y>24 , 3x+2y>6	$z = 8 x + 7 y$ , $4 x + 3 y > 24$ , $3 x + 2 y > 6$
3898	Maximize the Equation given the Constraints	z=8x+y , 3x+6y=18 , 8x+y=18 , x=0 , y=0	$z = 8 x + y$ , $3 x + 6 y = 18$ , $8 x + y = 18$ , $x = 0$ , $y = 0$
3899	Maximize the Equation given the Constraints	z=x+14y , 8x+7y=56 , 14x+y=56	$z = x + 14 y$ , $8 x + 7 y = 56$ , $14 x + y = 56$
3900	Minimize the Equation given the Constraints	10000x+15000y=600000 , 180000x+120000y=7200000 , z=50x+40y , x=0 , y=0	$10000 x + 15000 y = 600000$ , $180000 x + 120000 y = 7200000$ , $z = 50 x + 40 y$ , $x = 0$ , $y = 0$