Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
4701	Solve by Substitution	a=8 , d=4	$a = 8$ , $d = 4$
4702	Solve by Substitution	y=x^2-5 , y=2x-2	$y = x^{2} - 5$ , $y = 2 x - 2$
4703	Solve by Substitution	2x^2+xy+2y^2=2 , 3x^2-5xy+3y^2=3	$2 x^{2} + x y + 2 y^{2} = 2$ , $3 x^{2} - 5 x y + 3 y^{2} = 3$
4704	Solve by Substitution	12x+6y+2=0 , 3y=-15x-7	$12 x + 6 y + 2 = 0$ , $3 y = - 15 x - 7$
4705	Solve by Substitution	2x^2-7y^2+10=0 , x^2-8y^2+5=0	$2 x^{2} - 7 y^{2} + 10 = 0$ , $x^{2} - 8 y^{2} + 5 = 0$
4706	Solve by Substitution	25x-75y=100 , -10x+30y=-40	$25 x - 75 y = 100$ , $- 10 x + 30 y = - 40$
4707	Solve by Substitution	2x+10y+6z=-50 , x+5y+3z=10 , x+y+z=-5	$2 x + 10 y + 6 z = - 50$ , $x + 5 y + 3 z = 10$ , $x + y + z = - 5$
4708	Solve by Substitution	2x+2y-z=7 , -x-2y+2x=-6 , -2x-4y+3z=-9	$2 x + 2 y - z = 7$ , $- x - 2 y + 2 x = - 6$ , $- 2 x - 4 y + 3 z = - 9$
4709	Solve by Substitution	x^2-y=7 , 2x^2+3y=24	$x^{2} - y = 7$ , $2 x^{2} + 3 y = 24$
4710	Solve by Substitution	12x+3y=36 , 2x+4y=20	$12 x + 3 y = 36$ , $2 x + 4 y = 20$
4711	Solve by Substitution	y^2=x^2-64 , 3y=x+8	$y^{2} = x^{2} - 64$ , $3 y = x + 8$
4712	Solve by Substitution	0.7x-0.2y=-1.6 , 0.2x-y=-1.4	$0.7 x - 0.2 y = - 1.6$ , $0.2 x - y = - 1.4$
4713	Solve by Substitution	12x-4y=-20 , -3x+y=5	$12 x - 4 y = - 20$ , $- 3 x + y = 5$
4714	Solve by Substitution	2x^2+y^2=33 , x^2+y^2+2y=19	$2 x^{2} + y^{2} = 33$ , $x^{2} + y^{2} + 2 y = 19$
4715	Solve by Substitution	2x^2-27y^3=19 , 4x^2+54y^3=34	$2 x^{2} - 27 y^{3} = 19$ , $4 x^{2} + 54 y^{3} = 34$
4716	Solve by Substitution	2x+y=10 , 8x+4y=14	$2 x + y = 10$ , $8 x + 4 y = 14$
4717	Solve by Substitution	-2x+y-z=6 , x-3y+2z=-11 , x+4y-5z=17	$- 2 x + y - z = 6$ , $x - 3 y + 2 z = - 11$ , $x + 4 y - 5 z = 17$
4718	Solve by Substitution	2x-3y=3 , 3x+7y=7	$2 x - 3 y = 3$ , $3 x + 7 y = 7$
4719	Solve by Substitution	2x-3y=3 , 5x-7y=9	$2 x - 3 y = 3$ , $5 x - 7 y = 9$
4720	Solve by Substitution	2x+y=6 , 8x+4y=10	$2 x + y = 6$ , $8 x + 4 y = 10$
4721	Solve by Substitution	-2x+y=9 , 7x-10y=14	$- 2 x + y = 9$ , $7 x - 10 y = 14$
4722	Solve by Substitution	2x-5y+3z=5 , -3x+4y-3z=-6 , -7y+3z=3	$2 x - 5 y + 3 z = 5$ , $- 3 x + 4 y - 3 z = - 6$ , $- 7 y + 3 z = 3$
4723	Solve by Substitution	2x-5y=-3 , -x+2y=3	$2 x - 5 y = - 3$ , $- x + 2 y = 3$
4724	Solve by Substitution	2x-y=3 , 3y+3x=-9	$2 x - y = 3$ , $3 y + 3 x = - 9$
4725	Find the Distance Between Two Points	(-2,5) , (10,0)	$(- 2, 5) (10, 0)$
4726	Find the Distance Between Two Points	(3,4) , (-2,-7)	$(3, 4) (- 2, - 7)$
4727	Find the Distance Between Two Points	(-8,-2) , (-1,-4)	$(- 8, - 2) (- 1, - 4)$
4728	Find the Distance Between Two Points	(-3,7) , (5,-8)	$(- 3, 7) (5, - 8)$
4729	Find the Distance Between Two Points	(3,-7) , (8,-2)	$(3, - 7) (8, - 2)$
4730	Find the Distance Between Two Points	(3/2,2/3) , (1,-1)	$(\frac{3}{2}, \frac{2}{3})$ , $(1, - 1)$
4731	Solve by Substitution	(x^2)/36+(y^2)/64=1 , (x^2)/36-(y^2)/64=1	$\frac{x^{2}}{36} + \frac{y^{2}}{64} = 1$ , $\frac{x^{2}}{36} - \frac{y^{2}}{64} = 1$
4732	Find the Distance Between Two Points	(6,5) , (-2,-1)	$(6, 5) (- 2, - 1)$
4733	Find the Distance Between Two Points	(7,-4) , (9,4)	$(7, - 4) (9, 4)$
4734	Find the Distance Between Two Points	(8,5) , (0,20)	$(8, 5)$ , $(0, 20)$
4735	Solve by Substitution	x^2+y^2=36 , (x^2)/25+(y^2)/49=1	$x^{2} + y^{2} = 36$ , $\frac{x^{2}}{25} + \frac{y^{2}}{49} = 1$
4736	Solve by Substitution	x^2+y^2=5 , y=2/3x+1	$x^{2} + y^{2} = 5$ , $y = \frac{2}{3} x + 1$
4737	Solve by Substitution	x^2+y^2-16y+39=0 , y^2-x^2-9=0	$x^{2} + y^{2} - 16 y + 39 = 0$ , $y^{2} - x^{2} - 9 = 0$
4738	Solve by Substitution	4x-y=9 , 2x+3y=-27	$4 x - y = 9$ , $2 x + 3 y = - 27$
4739	Solve by Substitution	y=20x-16 , y=12x^2+3x-10	$y = 20 x - 16$ , $y = 12 x^{2} + 3 x - 10$
4740	Solve by Substitution	y=1/2x^3+x^2+10 , y=5x^2-13/2x+10	$y = \frac{1}{2} x^{3} + x^{2} + 10$ , $y = 5 x^{2} - \frac{13}{2} x + 10$
4741	Solve by Substitution	y=x^2-8x+8 , y=-x^2-16x+2	$y = x^{2} - 8 x + 8$ , $y = - x^{2} - 16 x + 2$
4742	Solve by Substitution	(x^2)/9+(y^2)/25=1 , y=(x-3)^2	$\frac{x^{2}}{9} + \frac{y^{2}}{25} = 1$ , $y = {(x - 3)}^{2}$
4743	Solve by Substitution	-1/3x+y=-5/3 , x^2+y^2=25	$- \frac{1}{3} x + y = - \frac{5}{3}$ , $x^{2} + y^{2} = 25$
4744	Solve by Substitution	x=2y , x=y^2-y	$x = 2 y$ , $x = y^{2} - y$
4745	Solve by Substitution	xy=5 , x^2+y^2=26	$x y = 5$ , $x^{2} + y^{2} = 26$
4746	Solve by Substitution	y = square root of 144-x^2 , y=16-x	$y = \sqrt{144 - x^{2}}$ , $y = 16 - x$
4747	Solve by Substitution	625x^2+25y^2=15625 , y=x^2-25	$625 x^{2} + 25 y^{2} = 15625$ , $y = x^{2} - 25$
4748	Solve by Substitution	x^2+6x+y^2-4y=-4 , 4x^2+24x+25y^2-50y=39	$x^{2} + 6 x + y^{2} - 4 y = - 4$ , $4 x^{2} + 24 x + 25 y^{2} - 50 y = 39$
4749	Solve by Substitution	p=144-x^2 , p=48+1/2x^2	$p = 144 - x^{2}$ , $p = 48 + \frac{1}{2} x^{2}$
4750	Solve by Substitution	7x^2+2y^2=5 , 6x^2-y^2=7	$7 x^{2} + 2 y^{2} = 5$ , $6 x^{2} - y^{2} = 7$
4751	Solve by Substitution	x+y=30 , x+2y=35	$x + y = 30$ , $x + 2 y = 35$
4752	Solve by Substitution	x=4t-3 , y=t^2	$x = 4 t - 3$ , $y = t^{2}$
4753	Solve by Substitution	-4x-3y=-15 , y=-4/3x+5	$- 4 x - 3 y = - 15$ , $y = - \frac{4}{3} x + 5$
4754	Solve by Substitution	5x+20y=35 , 2x+10y=16	$5 x + 20 y = 35$ , $2 x + 10 y = 16$
4755	Solve by Substitution	5x+3y=0 , x-2y=0	$5 x + 3 y = 0$ , $x - 2 y = 0$
4756	Solve by Substitution	4x-y+3z=-1 , x+y+z=2 , 3x+3y+3z=5	$4 x - y + 3 z = - 1$ , $x + y + z = 2$ , $3 x + 3 y + 3 z = 5$
4757	Solve by Substitution	5x=8y+3 , 4x+7y=6	$5 x = 8 y + 3$ , $4 x + 7 y = 6$
4758	Solve by Substitution	5x-3y+2z=-5 , 2x+y-z=4 , -4x-2y+2z=-1	$5 x - 3 y + 2 z = - 5$ , $2 x + y - z = 4$ , $- 4 x - 2 y + 2 z = - 1$
4759	Solve by Substitution	5x-2y=14 , -3x+y=-7	$5 x - 2 y = 14$ , $- 3 x + y = - 7$
4760	Solve by Substitution	5x-7z=32 , 7x-2y+4z=38 , 2x+2y=-80	$5 x - 7 z = 32$ , $7 x - 2 y + 4 z = 38$ , $2 x + 2 y = - 80$
4761	Solve by Substitution	-5x-y+z=9 , z=2x+4y-15 , y=x+8	$- 5 x - y + z = 9$ , $z = 2 x + 4 y - 15$ , $y = x + 8$
4762	Solve by Substitution	6x-5y=-1 , 2y-2x=0	$6 x - 5 y = - 1$ , $2 y - 2 x = 0$
4763	Solve by Substitution	6x-3y-4=0 , x+2y-4=0	$6 x - 3 y - 4 = 0$ , $x + 2 y - 4 = 0$
4764	Solve by Substitution	7x^2-3y^2+5=0 , 3x^2+5y^2=12	$7 x^{2} - 3 y^{2} + 5 = 0$ , $3 x^{2} + 5 y^{2} = 12$
4765	Solve by Substitution	7m-4n=2 , -21m+12n=-6	$7 m - 4 n = 2$ , $- 21 m + 12 n = - 6$
4766	Solve by Substitution	9x+2y=-68 , x=2-5y	$9 x + 2 y = - 68$ , $x = 2 - 5 y$
4767	Solve by Substitution	3x+4y=1 , 6x+8y=1	$3 x + 4 y = 1$ , $6 x + 8 y = 1$
4768	Solve by Substitution	3x-4y=-12 , 5x-5y=-10	$3 x - 4 y = - 12$ , $5 x - 5 y = - 10$
4769	Solve by Substitution	3x-5y=1 , 2x+7y=0	$3 x - 5 y = 1$ , $2 x + 7 y = 0$
4770	Solve by Substitution	3x+y=2 , x^3-2+y=0	$3 x + y = 2$ , $x^{3} - 2 + y = 0$
4771	Solve by Substitution	32x-9y+37z=-17 , 41x+8y-6z=40 , -13x+19y+40z=-6	$32 x - 9 y + 37 z = - 17$ , $41 x + 8 y - 6 z = 40$ , $- 13 x + 19 y + 40 z = - 6$
4772	Solve by Substitution	3x^2-y^2=11 , x^2+4y^2=8	$3 x^{2} - y^{2} = 11$ , $x^{2} + 4 y^{2} = 8$
4773	Solve by Substitution	3x+2y=14 , 2x-4y=4	$3 x + 2 y = 14$ , $2 x - 4 y = 4$
4774	Solve by Substitution	3x+2y=2 , 6x+4y=14	$3 x + 2 y = 2$ , $6 x + 4 y = 14$
4775	Solve by Substitution	3x+4y=16 , -4x-3y=-19	$3 x + 4 y = 16$ , $- 4 x - 3 y = - 19$
4776	Solve by Substitution	3x-2y=2 , -6x+4y=-4	$3 x - 2 y = 2$ , $- 6 x + 4 y = - 4$
4777	Solve by Substitution	3x-8y=32 , -x+8y=-16	$3 x - 8 y = 32$ , $- x + 8 y = - 16$
4778	Solve by Substitution	3x-y=10 , 6x-2y=5	$3 x - y = 10$ , $6 x - 2 y = 5$
4779	Solve by Substitution	3x-y=5 , 6x-3y=18	$3 x - y = 5$ , $6 x - 3 y = 18$
4780	Solve by Substitution	4x+3y+2=0 , 6y=8x+28	$4 x + 3 y + 2 = 0$ , $6 y = 8 x + 28$
4781	Solve by Substitution	4x+3y=2 , -8x+6y=28	$4 x + 3 y = 2$ , $- 8 x + 6 y = 28$
4782	Solve by Substitution	4x+7y=28 , 4x+7y=-28	$4 x + 7 y = 28$ , $4 x + 7 y = - 28$
4783	Solve by Substitution	4x-3y=3 , 3x+4y=21	$4 x - 3 y = 3$ , $3 x + 4 y = 21$
4784	Solve by Substitution	4x-3y-4z=-1 , 12x-9y-12z=-1 , 2x-4y-3z=4	$4 x - 3 y - 4 z = - 1$ , $12 x - 9 y - 12 z = - 1$ , $2 x - 4 y - 3 z = 4$
4785	Solve by Substitution	x-2y=0 , 3x-y^2=0	$x - 2 y = 0$ , $3 x - y^{2} = 0$
4786	Solve by Substitution	x-2y=3 , 2x=4y+6	$x - 2 y = 3$ , $2 x = 4 y + 6$
4787	Solve by Substitution	x-2y-4=0 , 3x+2y-4=0	$x - 2 y - 4 = 0$ , $3 x + 2 y - 4 = 0$
4788	Solve by Substitution	x+z+w=4 , y-z=-4 , x-2y+3z+w=12 , 2x-2z+5w=-1	$x + z + w = 4$ , $y - z = - 4$ , $x - 2 y + 3 z + w = 12$ , $2 x - 2 z + 5 w = - 1$
4789	Solve by Substitution	x+y=6000 , 0.06x+0.08y=440	$x + y = 6000$ , $0.06 x + 0.08 y = 440$
4790	Solve by Substitution	x+y-z=4 , y+w=-2 , x-y=1 , x+z+w=3	$x + y - z = 4$ , $y + w = - 2$ , $x - y = 1$ , $x + z + w = 3$
4791	Solve by Substitution	x=2y+6 , 3x-6y=18	$x = 2 y + 6$ , $3 x - 6 y = 18$
4792	Solve by Substitution	x=3+2sin(x) , y=1+5cos(x)	$x = 3 + 2 \sin (x)$ , $y = 1 + 5 \cos (x)$
4793	Solve by Substitution	x=7y-1 , -3x+21y=3	$x = 7 y - 1$ , $- 3 x + 21 y = 3$
4794	Solve by Substitution	x=7y-4 , -3x+21y=12	$x = 7 y - 4$ , $- 3 x + 21 y = 12$
4795	Solve by Substitution	x+y=2 , y=x^2-18	$x + y = 2$ , $y = x^{2} - 18$
4796	Solve by Substitution	-x+y+3z=-3 , x-2y-2z=8 , 3x-y-4z=6	$- x + y + 3 z = - 3$ , $x - 2 y - 2 z = 8$ , $3 x - y - 4 z = 6$
4797	Solve by Substitution	x+y=-2 , y=-3x	$x + y = - 2$ , $y = - 3 x$
4798	Solve by Substitution	x+y=4 , y=x^2-26	$x + y = 4$ , $y = x^{2} - 26$
4799	Solve by Substitution	x+y=35 , 9.95x+11.50y=374.60	$x + y = 35$ , $9.95 x + 11.5 y = 374.6$
4800	Solve by Substitution	x+y=7 , x^2+3y^2=79	$x + y = 7$ , $x^{2} + 3 y^{2} = 79$