Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
4401	Solve by Substitution	x+y=5 , 3x+2y=12	$x + y = 5$ , $3 x + 2 y = 12$
4402	Solve by Substitution	x+y=52 , x-y=14	$x + y = 52$ , $x - y = 14$
4403	Solve by Substitution	x+y=6 , 5x-y=24	$x + y = 6$ , $5 x - y = 24$
4404	Solve by Substitution	x+y=-6 , x-y=14	$x + y = - 6$ , $x - y = 14$
4405	Solve by Substitution	x+y=60 , 5000x+10000y=430000	$x + y = 60$ , $5000 x + 10000 y = 430000$
4406	Solve by Substitution	x+y=7 , x+y=19	$x + y = 7$ , $x + y = 19$
4407	Solve by Substitution	x+y=8 , 5x+4y=35	$x + y = 8$ , $5 x + 4 y = 35$
4408	Solve by Substitution	x+y=z , 3x+y=480z , 0.25x+0.20y=44z	$x + y = z$ , $3 x + y = 480 z$ , $0.25 x + 0.2 y = 44 z$
4409	Solve by Substitution	x+y-4z=0 , 2x+y-3z=2	$x + y - 4 z = 0$ , $2 x + y - 3 z = 2$
4410	Solve by Substitution	x+y-5z=-15 , 3x-3y+4z=17 , x+3y-4z=-21	$x + y - 5 z = - 15$ , $3 x - 3 y + 4 z = 17$ , $x + 3 y - 4 z = - 21$
4411	Solve by Substitution	x+y-z=-5 , 4x-y+z=-5 , x-3y+2z=-10	$x + y - z = - 5$ , $4 x - y + z = - 5$ , $x - 3 y + 2 z = - 10$
4412	Solve by Substitution	x+y-z=-6 , 3x-y+z=2 , x+2z=3	$x + y - z = - 6$ , $3 x - y + z = 2$ , $x + 2 z = 3$
4413	Solve by Substitution	x+y-z=-6 , 4x-y+z=11 , x+3z=10	$x + y - z = - 6$ , $4 x - y + z = 11$ , $x + 3 z = 10$
4414	Solve by Substitution	x+y-z=7 , 3y+2z=1 , -2x-5y=6	$x + y - z = 7$ , $3 y + 2 z = 1$ , $- 2 x - 5 y = 6$
4415	Solve by Substitution	x=13 , 4x+3y=12	$x = 13$ , $4 x + 3 y = 12$
4416	Solve by Substitution	x=1-y , 2x=z , 2z=-2-y	$x = 1 - y$ , $2 x = z$ , $2 z = - 2 - y$
4417	Solve by Substitution	x=-2 , y=-4 , z=0 , x-y+5z=-6 , 4x+z=-2 , x+2y+z=-10	$x = - 2$ , $y = - 4$ , $z = 0$ , $x - y + 5 z = - 6$ , $4 x + z = - 2$ , $x + 2 y + z = - 10$
4418	Solve by Substitution	x=2 , y=-1 , z+e=2	$x = 2$ , $y = - 1$ , $z + e = 2$
4419	Solve by Substitution	x=2y , x+y=3	$x = 2 y$ , $x + y = 3$
4420	Solve by Substitution	x-y+4z=-22 , 3x+z=5 , x+5y+z=5	$x - y + 4 z = - 22$ , $3 x + z = 5$ , $x + 5 y + z = 5$
4421	Solve by Substitution	xy+x=12 , (dx)/(dt)=-3 , x=2 , y=5	$x y + x = 12$ , $\frac{d x}{d t} = - 3$ , $x = 2$ , $y = 5$
4422	Solve by Substitution	x-y+z=4 , 2x-8y-3z=24 , 3x+4y+2x=7	$x - y + z = 4$ , $2 x - 8 y - 3 z = 24$ , $3 x + 4 y + 2 x = 7$
4423	Solve by Substitution	x-y=1 , 2x-8z=8 , 8y+z=6	$x - y = 1$ , $2 x - 8 z = 8$ , $8 y + z = 6$
4424	Solve by Substitution	x-y=10 , -8x+8y=3	$x - y = 10$ , $- 8 x + 8 y = 3$
4425	Solve by Substitution	x-y=2 , 9x-2y=46	$x - y = 2$ , $9 x - 2 y = 46$
4426	Solve by Substitution	x-y=3 , 5x-3z=25 , 5y+z=10	$x - y = 3$ , $5 x - 3 z = 25$ , $5 y + z = 10$
4427	Solve by Substitution	x-y=3 , 8x+2y=-66	$x - y = 3$ , $8 x + 2 y = - 66$
4428	Solve by Substitution	xy=48 , 2x-y=-4	$x y = 48$ , $2 x - y = - 4$
4429	Solve by Substitution	x-y=-5 , 4x+y=-20	$x - y = - 5$ , $4 x + y = - 20$
4430	Solve by Substitution	x-y=7 , 3x+y=-19	$x - y = 7$ , $3 x + y = - 19$
4431	Solve by Substitution	x-y=9 , x+y=-5	$x - y = 9$ , $x + y = - 5$
4432	Solve by Substitution	x-y-z=3 , 4x+5y+z=3	$x - y - z = 3$ , $4 x + 5 y + z = 3$
4433	Solve by Substitution	y-x^2+2x=-4 , y+x=2	$y - x^{2} + 2 x = - 4$ , $y + x = 2$
4434	Solve by Substitution	y+2x-2=x^2 , y-2x=-2	$y + 2 x - 2 = x^{2}$ , $y - 2 x = - 2$
4435	Solve by Substitution	y+3x=4 , 6x-8=-2y	$y + 3 x = 4$ , $6 x - 8 = - 2 y$
4436	Solve by Substitution	y+4x-6=0 , 3x-y=7	$y + 4 x - 6 = 0$ , $3 x - y = 7$
4437	Solve by Substitution	y+x=7 , y-2x=-5	$y + x = 7$ , $y - 2 x = - 5$
4438	Solve by Substitution	y=1/2x+1 , 2y-x=2	$y = \frac{1}{2} x + 1$ , $2 y - x = 2$
4439	Solve by Substitution	y=1/2x+3 , 2y=x+6	$y = \frac{1}{2} x + 3$ , $2 y = x + 6$
4440	Solve by Substitution	y=1/3x+4 , 3y=x+12	$y = \frac{1}{3} x + 4$ , $3 y = x + 12$
4441	Solve by Substitution	y=-1/3x+5 , 2x-2y=-2	$y = - \frac{1}{3} x + 5$ , $2 x - 2 y = - 2$
4442	Solve by Substitution	y=3/2x-1/2 , y=-2x+24	$y = \frac{3}{2} x - \frac{1}{2}$ , $y = - 2 x + 24$
4443	Solve by Substitution	y=4/3x+3 , y=4/3x-3	$y = \frac{4}{3} x + 3$ , $y = \frac{4}{3} x - 3$
4444	Solve by Substitution	y=5/2x-4 , y=-x+3	$y = \frac{5}{2} x - 4$ , $y = - x + 3$
4445	Solve by Substitution	y=x^2 , 3x=y+2	$y = x^{2}$ , $3 x = y + 2$
4446	Solve by Substitution	y=x^2 , y=3x+4	$y = x^{2}$ , $y = 3 x + 4$
4447	Solve by Substitution	y=x^2+11x+10 , y=5x+5	$y = x^{2} + 11 x + 10$ , $y = 5 x + 5$
4448	Solve by Substitution	y=x^2+2x-3 , 1/3x-y=5	$y = x^{2} + 2 x - 3$ , $\frac{1}{3} x - y = 5$
4449	Solve by Substitution	y=x^2+5 , y=\|6\|	$y = x^{2} + 5$ , $y = \| 6 \|$
4450	Solve by Substitution	x-2y-z=6 , -x+6y-3z=-18 , 2x-11y+5z=33	$x - 2 y - z = 6$ , $- x + 6 y - 3 z = - 18$ , $2 x - 11 y + 5 z = 33$
4451	Solve by Substitution	x-3y+4z=25 , y-z+w=-12 , -2x+3y-3z+3w=-18 , 3y-4z+w=-29	$x - 3 y + 4 z = 25$ , $y - z + w = - 12$ , $- 2 x + 3 y - 3 z + 3 w = - 18$ , $3 y - 4 z + w = - 29$
4452	Solve by Substitution	x-3y=-1 , 4x+3=11	$x - 3 y = - 1$ , $4 x + 3 = 11$
4453	Solve by Substitution	x-3y=-1 , 4x+3y=11	$x - 3 y = - 1$ , $4 x + 3 y = 11$
4454	Solve by Substitution	x-3y=-12 , 2y-7x=46	$x - 3 y = - 12$ , $2 y - 7 x = 46$
4455	Solve by Substitution	x-3y=-2 , y=2	$x - 3 y = - 2$ , $y = 2$
4456	Solve by Substitution	x-3y=-3 , 3x-2y=-2	$x - 3 y = - 3$ , $3 x - 2 y = - 2$
4457	Solve by Substitution	x-2y=4 , -x+2y=4	$x - 2 y = 4$ , $- x + 2 y = 4$
4458	Solve by Substitution	x-2y=-5 , 3x-6y=-15	$x - 2 y = - 5$ , $3 x - 6 y = - 15$
4459	Solve by Substitution	x-2y=-6 , 2x+y=8 , x+2y=-2	$x - 2 y = - 6$ , $2 x + y = 8$ , $x + 2 y = - 2$
4460	Solve by Substitution	x-2y=-6 , -x+2y+6=0	$x - 2 y = - 6$ , $- x + 2 y + 6 = 0$
4461	Solve by Substitution	x-2y=6 , y=2x-24	$x - 2 y = 6$ , $y = 2 x - 24$
4462	Solve by Substitution	x-2y=-7 , 2x+3y=14	$x - 2 y = - 7$ , $2 x + 3 y = 14$
4463	Solve by Substitution	-x-2y=8 , 3x+4y=24	$- x - 2 y = 8$ , $3 x + 4 y = 24$
4464	Solve by Substitution	x-y+2z=2 , 3x+y+5z=22 , 2x-y-2z=-15	$x - y + 2 z = 2$ , $3 x + y + 5 z = 22$ , $2 x - y - 2 z = - 15$
4465	Solve by Substitution	x-y+3z=1 , 2y+2z=3 , 3x+4y-6z=-5	$x - y + 3 z = 1$ , $2 y + 2 z = 3$ , $3 x + 4 y - 6 z = - 5$
4466	Solve by Substitution	x+3y=11 , -2x-y=8	$x + 3 y = 11$ , $- 2 x - y = 8$
4467	Solve by Substitution	x+3y=11 , 3x+2y=12	$x + 3 y = 11$ , $3 x + 2 y = 12$
4468	Solve by Substitution	x+3y=14 , 2x-5y=50	$x + 3 y = 14$ , $2 x - 5 y = 50$
4469	Solve by Substitution	x+3y=-15 , 8x+2y=-54	$x + 3 y = - 15$ , $8 x + 2 y = - 54$
4470	Solve by Substitution	x+3y=-2 , y=-2x-14	$x + 3 y = - 2$ , $y = - 2 x - 14$
4471	Solve by Substitution	x-3y-z=0 , x-2y+z=1 , 2x-6y+z=6	$x - 3 y - z = 0$ , $x - 2 y + z = 1$ , $2 x - 6 y + z = 6$
4472	Solve by Substitution	x-3z=-5 , 2x-y+2z=16 , 7z-3y-5z=19	$x - 3 z = - 5$ , $2 x - y + 2 z = 16$ , $7 z - 3 y - 5 z = 19$
4473	Solve by Substitution	x-5y+2z=1 , 3x-2y+2z=-2	$x - 5 y + 2 z = 1$ , $3 x - 2 y + 2 z = - 2$
4474	Solve by Substitution	x-5y+4z=1 , 3x-2y+3z=-1	$x - 5 y + 4 z = 1$ , $3 x - 2 y + 3 z = - 1$
4475	Solve by Substitution	x-5y+z=3 , x+2y-2z=-12 , 2x+2z=18	$x - 5 y + z = 3$ , $x + 2 y - 2 z = - 12$ , $2 x + 2 z = 18$
4476	Solve by Substitution	x-5y=29 , -3x-6y=18	$x - 5 y = 29$ , $- 3 x - 6 y = 18$
4477	Solve by Substitution	x-7y=40 , 4x-8y=60	$x - 7 y = 40$ , $4 x - 8 y = 60$
4478	Solve by Substitution	x=y-2 , -3x+3y=6	$x = y - 2$ , $- 3 x + 3 y = 6$
4479	Solve by Substitution	x-2y+3z=1 , y-z+w=-6 , -3x+3y-3z+4w=8 , 2y-3z+w=1	$x - 2 y + 3 z = 1$ , $y - z + w = - 6$ , $- 3 x + 3 y - 3 z + 4 w = 8$ , $2 y - 3 z + w = 1$
4480	Solve by Substitution	x-2y+3z=19 , 2x+y+z=3 , -3x+2y-2z=-17	$x - 2 y + 3 z = 19$ , $2 x + y + z = 3$ , $- 3 x + 2 y - 2 z = - 17$
4481	Solve by Substitution	x-2y+z=0 , 2x+3z=-1 , y+2z=-2	$x - 2 y + z = 0$ , $2 x + 3 z = - 1$ , $y + 2 z = - 2$
4482	Solve by Substitution	x-2y=1 , 4x+4y=2 , 10x+8y=4	$x - 2 y = 1$ , $4 x + 4 y = 2$ , $10 x + 8 y = 4$
4483	Solve by Substitution	x-2y=-10 , 2x+y=10 , x+2y=-10	$x - 2 y = - 10$ , $2 x + y = 10$ , $x + 2 y = - 10$
4484	Solve by Substitution	x-2y=11 , 2x+y=2	$x - 2 y = 11$ , $2 x + y = 2$
4485	Solve by Substitution	x-2y=12 , 2x+y=4	$x - 2 y = 12$ , $2 x + y = 4$
4486	Solve by Substitution	-x-2y=12 , 3x+6y=-36	$- x - 2 y = 12$ , $3 x + 6 y = - 36$
4487	Solve by Substitution	x-2y=-3 , y=-4x-24	$x - 2 y = - 3$ , $y = - 4 x - 24$
4488	Solve by Substitution	x=4 , y=-3 , 4x-5y=2	$x = 4$ , $y = - 3$ , $4 x - 5 y = 2$
4489	Solve by Substitution	x=4 , y=-x-1	$x = 4$ , $y = - x - 1$
4490	Solve by Substitution	x=4-2y , 4x+8y=20	$x = 4 - 2 y$ , $4 x + 8 y = 20$
4491	Solve by Substitution	x=45 , x+y=140	$x = 45$ , $x + y = 140$
4492	Solve by Substitution	x=5t^2 , y=2t	$x = 5 t^{2}$ , $y = 2 t$
4493	Solve by Substitution	x=50x , x=11000+27x	$x = 50 x$ , $x = 11000 + 27 x$
4494	Solve by Substitution	x=5y+1 , -3x+15y=-3	$x = 5 y + 1$ , $- 3 x + 15 y = - 3$
4495	Solve by Substitution	x=5y+4 , -2x+10y=-8	$x = 5 y + 4$ , $- 2 x + 10 y = - 8$
4496	Solve by Substitution	x=-7 , y=-4 , z=9	$x = - 7$ , $y = - 4$ , $z = 9$
4497	Solve by Substitution	x=8y+4 , x=9y+8	$x = 8 y + 4$ , $x = 9 y + 8$
4498	Solve by Substitution	x=9y+3 , 3x-27y=9	$x = 9 y + 3$ , $3 x - 27 y = 9$
4499	Solve by Substitution	x=y+2 , x=-5	$x = y + 2$ , $x = - 5$
4500	Solve by Substitution	7x+6y=-3 , y=2/3x-6	$7 x + 6 y = - 3$ , $y = \frac{2}{3} x - 6$