Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
4901	Solve by Addition/Elimination	x^2+y^2=13 , x^2-y=7	$x^{2} + y^{2} = 13$ , $x^{2} - y = 7$
4902	Solve by Addition/Elimination	x^2+y^2=49 , y^2-4x=49	$x^{2} + y^{2} = 49$ , $y^{2} - 4 x = 49$
4903	Solve by Addition/Elimination	x^2+y^2-16y+39=0 , y^2-x^2-9=0	$x^{2} + y^{2} - 16 y + 39 = 0$ , $y^{2} - x^{2} - 9 = 0$
4904	Solve by Addition/Elimination	x^2-y^2=25 , 2x^2-y^2=x+55	$x^{2} - y^{2} = 25$ , $2 x^{2} - y^{2} = x + 55$
4905	Solve by Substitution	y=3x-2 , y=-2x-3	$y = 3 x - 2$ , $y = - 2 x - 3$
4906	Solve by Addition/Elimination	2/x-3/y=1 , 4/x+7/y=1	$\frac{2}{x} - \frac{3}{y} = 1$ , $\frac{4}{x} + \frac{7}{y} = 1$
4907	Solve by Substitution	xy=8 , x^2+y^2=20	$x y = 8$ , $x^{2} + y^{2} = 20$
4908	Solve by Substitution	xy=24 , x^2+y^2=52	$x y = 24$ , $x^{2} + y^{2} = 52$
4909	Solve by Substitution	y=-x^2+15 , 2x+y=0	$y = - x^{2} + 15$ , $2 x + y = 0$
4910	Solve by Substitution	xy=12 , x^2+y^2=40	$x y = 12$ , $x^{2} + y^{2} = 40$
4911	Solve by Substitution	y=-2x-6 , y=x^2-21	$y = - 2 x - 6$ , $y = x^{2} - 21$
4912	Solve by Substitution	y=-5x^2+2x+7 , y=0	$y = - 5 x^{2} + 2 x + 7$ , $y = 0$
4913	Solve by Substitution	y-x=14 , x-y=-14	$y - x = 14$ , $x - y = - 14$
4914	Solve by Substitution	7x^2+3y^2=187 , 3y^2-7x=47	$7 x^{2} + 3 y^{2} = 187$ , $3 y^{2} - 7 x = 47$
4915	Solve by Substitution	-x+y+z=-1 , -x+3y-5z=-15 , 7x-6y-10z=0	$- x + y + z = - 1$ , $- x + 3 y - 5 z = - 15$ , $7 x - 6 y - 10 z = 0$
4916	Solve by Substitution	5x-4y=1 , 15x-12y=4	$5 x - 4 y = 1$ , $15 x - 12 y = 4$
4917	Solve by Substitution	x+y-z=-2 , 3x-y+z=6 , -x+5y-4z=1	$x + y - z = - 2$ , $3 x - y + z = 6$ , $- x + 5 y - 4 z = 1$
4918	Solve by Addition/Elimination	l+u=342 , 9.50l+10.00u=3342.50	$l + u = 342$ , $9.5 l + 10 u = 3342.5$
4919	Solve by Addition/Elimination	a-b=-1 , 2a+3b=-7	$a - b = - 1$ , $2 a + 3 b = - 7$
4920	Solve by Addition/Elimination	x+2y+3z=5 , 3x+2y-2z=-13 , 5x+3y-z=-11	$x + 2 y + 3 z = 5$ , $3 x + 2 y - 2 z = - 13$ , $5 x + 3 y - z = - 11$
4921	Solve by Addition/Elimination	x+y+z=-7 , x-z-3z=-9 , 2x+y+z=-5	$x + y + z = - 7$ , $x - z - 3 z = - 9$ , $2 x + y + z = - 5$
4922	Solve by Addition/Elimination	5x+y+z=10 , x+y-z=6 , 2x+4y+z=0	$5 x + y + z = 10$ , $x + y - z = 6$ , $2 x + 4 y + z = 0$
4923	Solve by Addition/Elimination	7x+3y=1 , -14x-6y=-1	$7 x + 3 y = 1$ , $- 14 x - 6 y = - 1$
4924	Solve by Addition/Elimination	-7x-6y=15 , 9x+8y=-17	$- 7 x - 6 y = 15$ , $9 x + 8 y = - 17$
4925	Solve by Addition/Elimination	8x-7y=-30 , 4x-3y=-18	$8 x - 7 y = - 30$ , $4 x - 3 y = - 18$
4926	Solve by Addition/Elimination	8x-z=4 , y+z=5 , 11x+y=15	$8 x - z = 4$ , $y + z = 5$ , $11 x + y = 15$
4927	Solve by Addition/Elimination	x-2y+3z=7 , 2x+y+z=4 , -3x+2y-2z=-10	$x - 2 y + 3 z = 7$ , $2 x + y + z = 4$ , $- 3 x + 2 y - 2 z = - 10$
4928	Solve by Addition/Elimination	w+8z=0 , x+4z=4 , y-7z=1	$w + 8 z = 0$ , $x + 4 z = 4$ , $y - 7 z = 1$
4929	Solve by Addition/Elimination	1/2x+1/7y=4 , 1/6x-2/7y=-1	$\frac{1}{2} x + \frac{1}{7} y = 4$ , $\frac{1}{6} x - \frac{2}{7} y = - 1$
4930	Solve by Addition/Elimination	x-y-z=1 , -x+2y-3z=-4 , 3x-2y-7z=0	$x - y - z = 1$ , $- x + 2 y - 3 z = - 4$ , $3 x - 2 y - 7 z = 0$
4931	Solve by Addition/Elimination	x+4z=4 , 4x-2y-7z=2 , 2x-2y-7z=-6	$x + 4 z = 4$ , $4 x - 2 y - 7 z = 2$ , $2 x - 2 y - 7 z = - 6$
4932	Solve by Addition/Elimination	x-3z=7 , 2x+y-2z=11 , -x-2y+9z=13	$x - 3 z = 7$ , $2 x + y - 2 z = 11$ , $- x - 2 y + 9 z = 13$
4933	Solve by Addition/Elimination	2x-3y=-1 , 2x+y=11	$2 x - 3 y = - 1$ , $2 x + y = 11$
4934	Solve by Addition/Elimination	4a+7b=-24 , 8a-3c=-7 , 6b-3c=-39	$4 a + 7 b = - 24$ , $8 a - 3 c = - 7$ , $6 b - 3 c = - 39$
4935	Solve by Addition/Elimination	x-y^2=0 , y-x^2=0	$x - y^{2} = 0$ , $y - x^{2} = 0$
4936	Solve by Addition/Elimination	x-2y-z=14 , 2x-y-2z=10	$x - 2 y - z = 14$ , $2 x - y - 2 z = 10$
4937	Solve by Addition/Elimination	2x+6z=-9 , 3x-2y+11z=-16 , 3x-y+7z=-11	$2 x + 6 z = - 9$ , $3 x - 2 y + 11 z = - 16$ , $3 x - y + 7 z = - 11$
4938	Solve by Addition/Elimination	4x-3y=11 , 8x+4y=12	$4 x - 3 y = 11$ , $8 x + 4 y = 12$
4939	Solve by Addition/Elimination	-5x+5y-25z=-40 , x-y+5z=8 , 2x-2y+10z=16	$- 5 x + 5 y - 25 z = - 40$ , $x - y + 5 z = 8$ , $2 x - 2 y + 10 z = 16$
4940	Solve by Substitution	x^2+2y^2=324 , x+y=18	$x^{2} + 2 y^{2} = 324$ , $x + y = 18$
4941	Solve by Addition/Elimination	3x-3y+2z=11 , 3x+y-3z=-11 , 15x-y-2z=0	$3 x - 3 y + 2 z = 11$ , $3 x + y - 3 z = - 11$ , $15 x - y - 2 z = 0$
4942	Solve by Addition/Elimination	4x-2y+2z=48 , 4x-3y-5z=-12 , x-y+4z=38	$4 x - 2 y + 2 z = 48$ , $4 x - 3 y - 5 z = - 12$ , $x - y + 4 z = 38$
4943	Solve by Addition/Elimination	5a+4y+6=0 , 2y=-9a-4	$5 a + 4 y + 6 = 0$ , $2 y = - 9 a - 4$
4944	Solve by Addition/Elimination	5x-3y+2z=4 , -9x+5y-4z=-12 , -3x+y-2z=-12	$5 x - 3 y + 2 z = 4$ , $- 9 x + 5 y - 4 z = - 12$ , $- 3 x + y - 2 z = - 12$
4945	Solve by Addition/Elimination	7x-6y=-5 , -42x+36y=31	$7 x - 6 y = - 5$ , $- 42 x + 36 y = 31$
4946	Solve by Addition/Elimination	x+y-3z=-8 , -x-2y+z=4 , -x+y+4z=7	$x + y - 3 z = - 8$ , $- x - 2 y + z = 4$ , $- x + y + 4 z = 7$
4947	Solve by Addition/Elimination	x^2+y^2=23 , x-y=11	$x^{2} + y^{2} = 23$ , $x - y = 11$
4948	Solve by Addition/Elimination	2x+3y+z=2 , -x+2y+3z=-1 , -3x-3y+z=0	$2 x + 3 y + z = 2$ , $- x + 2 y + 3 z = - 1$ , $- 3 x - 3 y + z = 0$
4949	Solve by Addition/Elimination	2x-3y+z=-2 , -4x+9y=7	$2 x - 3 y + z = - 2$ , $- 4 x + 9 y = 7$
4950	Solve by Addition/Elimination	4(3x+y)+2z=-1 , 3(x-4y+2z)=14 , 9(-1+x)=-4(z-4y)	$4 (3 x + y) + 2 z = - 1$ , $3 (x - 4 y + 2 z) = 14$ , $9 (- 1 + x) = - 4 (z - 4 y)$
4951	Solve by Addition/Elimination	2x-y=3 , 4x-2y=5	$2 x - y = 3$ , $4 x - 2 y = 5$
4952	Solve by Addition/Elimination	3x-4y+z=14 , x+y=7	$3 x - 4 y + z = 14$ , $x + y = 7$
4953	Solve by Addition/Elimination	x=-2cos(x) , y=3sin(x)	$x = - 2 \cos (x)$ , $y = 3 \sin (x)$
4954	Solve by Addition/Elimination	xy=z^2 , x+y+z=28 , x^2+y^2+z^2=2128	$x y = z^{2}$ , $x + y + z = 28$ , $x^{2} + y^{2} + z^{2} = 2128$
4955	Solve by Addition/Elimination	x=-7t+1 , y=-10t+9	$x = - 7 t + 1$ , $y = - 10 t + 9$
4956	Determine if Parallel	y=8x-9 , 7y=4-x	$y = 8 x - 9$ , $7 y = 4 - x$
4957	Determine if Perpendicular	y=26/3x-11 , y=-3/26x-11	$y = \frac{26}{3} x - 11$ , $y = - \frac{3}{26} x - 11$
4958	Solve by Graphing	(x-1)^2+(y+4)^2=4 , y^2+8y-x+13=0	${(x - 1)}^{2} + {(y + 4)}^{2} = 4$ , $y^{2} + 8 y - x + 13 = 0$
4959	Determine if Perpendicular	7x-4y=5 , -x+4y=-11	$7 x - 4 y = 5$ , $- x + 4 y = - 11$
4960	Solve by Graphing	x^2+y^2=25 , x+y=8	$x^{2} + y^{2} = 25$ , $x + y = 8$
4961	Solve by Graphing	x^2+y^2=36 , y^2-2x=36	$x^{2} + y^{2} = 36$ , $y^{2} - 2 x = 36$
4962	Solve by Addition/Elimination	3x-2y+z=-7 , x+y-2z=12 , 3x+y-z=10	$3 x - 2 y + z = - 7$ , $x + y - 2 z = 12$ , $3 x + y - z = 10$
4963	Determine if Perpendicular	y=1/2x+3 , y=-2x-4	$y = \frac{1}{2} x + 3$ , $y = - 2 x - 4$
4964	Solve by Graphing	x^2+y^2=65 , x^2-3y=37	$x^{2} + y^{2} = 65$ , $x^{2} - 3 y = 37$
4965	Solve by Graphing	2x+y=4 , x-y=2	$2 x + y = 4$ , $x - y = 2$
4966	Solve by Graphing	x^2+y^2=9 , x^2+y=3	$x^{2} + y^{2} = 9$ , $x^{2} + y = 3$
4967	Solve by Graphing	4x+y=8 , y=-4x+8	$4 x + y = 8$ , $y = - 4 x + 8$
4968	Solve by Graphing	5x-6y=12 , 2x-4y=8	$5 x - 6 y = 12$ , $2 x - 4 y = 8$
4969	Solve by Graphing	8x+8y=0 , -12x-12y=18	$8 x + 8 y = 0$ , $- 12 x - 12 y = 18$
4970	Solve by Graphing	2.5x+4.9y=2279 , x+y=710	$2.5 x + 4.9 y = 2279$ , $x + y = 710$
4971	Solve by Graphing	6x-5y=2 , -18x+15y=-6	$6 x - 5 y = 2$ , $- 18 x + 15 y = - 6$
4972	Solve by Graphing	x-4y=-4 , x-y=2	$x - 4 y = - 4$ , $x - y = 2$
4973	Solve by Graphing	x-y=-4 , x+2y=5	$x - y = - 4$ , $x + 2 y = 5$
4974	Solve by Graphing	y=1/7x+3 , x-7y=-21	$y = \frac{1}{7} x + 3$ , $x - 7 y = - 21$
4975	Find the Vertex	2x^2+8x+7	$2 x^{2} + 8 x + 7$
4976	Find the Vertex	-2(x+4)^2-8	$- 2 {(x + 4)}^{2} - 8$
4977	Find the Vertex	2x^2-12x+22	$2 x^{2} - 12 x + 22$
4978	Find the Vertex	-3x^2+12x-5	$- 3 x^{2} + 12 x - 5$
4979	Find the Vertex	3x^2+6x-7	$3 x^{2} + 6 x - 7$
4980	Find the Vertex	3x^2-18x+23	$3 x^{2} - 18 x + 23$
4981	Find the Vertex	16-(x-2)^2	$16 - {(x - 2)}^{2}$
4982	Find the Vertex	x^2-6x+5	$x^{2} - 6 x + 5$
4983	Find the Vertex	x^2-8x-20	$x^{2} - 8 x - 20$
4984	Find the Vertex	x^2-5x+6	$x^{2} - 5 x + 6$
4985	Find the Vertex	x^2-4x	$x^{2} - 4 x$
4986	Find the Vertex	f(x)=x^2-10x+21	$f (x) = x^{2} - 10 x + 21$
4987	Find the Vertex	a(x)=x^2+9x+20	$a (x) = x^{2} + 9 x + 20$
4988	Find the Vertex	-3x^2-30x-79	$- 3 x^{2} - 30 x - 79$
4989	Find the Vertex	f(x)=(x+3)^2-4	$f (x) = {(x + 3)}^{2} - 4$
4990	Find the Vertex	f(x)=-(x-1)^2+4	$f (x) = - {(x - 1)}^{2} + 4$
4991	Find the Vertex	f(x)=(x+4)^2-3	$f (x) = {(x + 4)}^{2} - 3$
4992	Find the Vertex	f(x)=(x+4)^2-9	$f (x) = {(x + 4)}^{2} - 9$
4993	Find the Vertex	f(x)=(x+5)^2-4	$f (x) = {(x + 5)}^{2} - 4$
4994	Find the Vertex	f(x)=(x-10)^2+2	$f (x) = {(x - 10)}^{2} + 2$
4995	Find the Vertex	f(x)=(x-2)^2	$f (x) = {(x - 2)}^{2}$
4996	Find the Vertex	f(x)=(x-2)^2+7	$f (x) = {(x - 2)}^{2} + 7$
4997	Find the Vertex	f(x)=(x-3)^2+6	$f (x) = {(x - 3)}^{2} + 6$
4998	Find the Vertex	f(x)=(x-3)^2+2	$f (x) = {(x - 3)}^{2} + 2$
4999	Find the Difference Quotient	f(x)=-7x	$f (x) = - 7 x$
5000	Find the Roots (Zeros)	D(r)=(23r+11)/22	$D (r) = \frac{23 r + 11}{22}$