Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
4301	Solve by Substitution	f=0.04t+200 , r=6% , t=10	$f = 0.04 t + 200$ , $r = 6 %$ , $t = 10$
4302	Solve by Substitution	f=2500 , r=5% , t=3	$f = 2500$ , $r = 5 %$ , $t = 3$
4303	Solve by Substitution	f=25000 , r=6.5% , t=6	$f = 25000$ , $r = 6.5 %$ , $t = 6$
4304	Solve by Substitution	f=2x+30y , 2x+10y=96 , 1x+10y=90	$f = 2 x + 30 y$ , $2 x + 10 y = 96$ , $1 x + 10 y = 90$
4305	Solve by Substitution	f=3000 , r=7% , t=5	$f = 3000$ , $r = 7 %$ , $t = 5$
4306	Solve by Substitution	f=3250 , r=8.25% , t=4	$f = 3250$ , $r = 8.25 %$ , $t = 4$
4307	Solve by Substitution	f=60000 , r=10% , t=6	$f = 60000$ , $r = 10 %$ , $t = 6$
4308	Solve by Substitution	M=30 , s=2 , x=28 , x^2=33	$M = 30$ , $s = 2$ , $x = 28$ , $x^{2} = 33$
4309	Solve by Substitution	m=4 , b=-5	$m = 4$ , $b = - 5$
4310	Solve by Substitution	n=12 , ex^2=83 , ex=24	$n = 12$ , $e x^{2} = 83$ , $e x = 24$
4311	Solve by Substitution	n=6 , x=2 , p=2/3 , q=1-p	$n = 6$ , $x = 2$ , $p = \frac{2}{3}$ , $q = 1 - p$
4312	Solve by Substitution	p=-16/20x-104.2 , p=-16/-50x-11.88	$p = \frac{- 16}{20} x - 104.2$ , $p = \frac{- 16}{- 50} x - 11.88$
4313	Solve by Substitution	p=q^2+8q+16 , p=118q^2+424	$p = q^{2} + 8 q + 16$ , $p = 118 q^{2} + 424$
4314	Solve by Substitution	p=-0.3x+6 , p=0.15x+1.5	$p = - 0.3 x + 6$ , $p = 0.15 x + 1.5$
4315	Solve by Substitution	p=16000 , t=18	$p = 16000$ , $t = 18$
4316	Solve by Substitution	p=-4x+250 , p=3x+40	$p = - 4 x + 250$ , $p = 3 x + 40$
4317	Solve by Substitution	p=q+2 , 3p+2q=-24	$p = q + 2$ , $3 p + 2 q = - 24$
4318	Solve by Substitution	pv=12000 , r=7% , t=2	$p v = 12000$ , $r = 7 %$ , $t = 2$
4319	Solve by Substitution	q=-11000p+3600 , q=4000p+600	$q = - 11000 p + 3600$ , $q = 4000 p + 600$
4320	Solve by Substitution	r+4s=2 , 8r+5s=16	$r + 4 s = 2$ , $8 r + 5 s = 16$
4321	Solve by Substitution	s=5100 , p=45000	$s = 5100$ , $p = 45000$
4322	Solve by Substitution	w+x+5y+2z=2 , 2w+3x-12y+8z=7 , 3x-6y+15z=12	$w + x + 5 y + 2 z = 2$ , $2 w + 3 x - 12 y + 8 z = 7$ , $3 x - 6 y + 15 z = 12$
4323	Solve by Substitution	x1+2x2-x3=3 , 2x1+3x2-x3=5 , 3x1+5x2-2x*3=8	$x \cdot 1 + 2 x \cdot 2 - x \cdot 3 = 3$ , $2 x \cdot 1 + 3 x \cdot 2 - x \cdot 3 = 5$ , $3 x \cdot 1 + 5 x \cdot 2 - 2 x \cdot 3 = 8$
4324	Solve by Substitution	x1+4x2=14 , -2x1+5x2=11	$x \cdot 1 + 4 x \cdot 2 = 14$ , $- 2 x \cdot 1 + 5 x \cdot 2 = 11$
4325	Solve by Substitution	x1=0.0412(2000000-x2-x3-x4) , x2=0.0328(2000000-x1-x3-x4) , x3=0.0285(2000000-x1-x2-x4) , x4=0.0232(2000000-x1-x2-x3)	$x \cdot 1 = 0.0412 (2000000 - x \cdot 2 - x \cdot 3 - x \cdot 4)$ , $x \cdot 2 = 0.0328 (2000000 - x \cdot 1 - x \cdot 3 - x \cdot 4)$ , $x \cdot 3 = 0.0285 (2000000 - x \cdot 1 - x \cdot 2 - x \cdot 4)$ , $x \cdot 4 = 0.0232 (2000000 - x \cdot 1 - x \cdot 2 - x \cdot 3)$
4326	Solve by Substitution	x1=15 , x2=3 , x3=11 , x4=16 , x*5=15	$x \cdot 1 = 15$ , $x \cdot 2 = 3$ , $x \cdot 3 = 11$ , $x \cdot 4 = 16$ , $x \cdot 5 = 15$
4327	Solve by Substitution	x1=24 , x1+s*1=9	$x \cdot 1 = 24$ , $x \cdot 1 + s \cdot 1 = 9$
4328	Solve by Substitution	x1-2x2=-6 , 2x1-x2=3	$x \cdot 1 - 2 x \cdot 2 = - 6$ , $2 x \cdot 1 - x \cdot 2 = 3$
4329	Solve by Substitution	x-1/6y=1 , 6/7x-1/7y=1	$x - \frac{1}{6} y = 1$ , $\frac{6}{7} x - \frac{1}{7} y = 1$
4330	Solve by Substitution	x+y^2=0 , 5x+6y^2=64	$x + y^{2} = 0$ , $5 x + 6 y^{2} = 64$
4331	Solve by Substitution	x+3y-2z=0 , 2x+4z=2 , 4x+6y=2	$x + 3 y - 2 z = 0$ , $2 x + 4 z = 2$ , $4 x + 6 y = 2$
4332	Solve by Substitution	x+3y-4z-w=8 , 4x+y+2z+5w=12 , -2x-y+z-2w=-9 , x-y-3z-3w=-4	$x + 3 y - 4 z - w = 8$ , $4 x + y + 2 z + 5 w = 12$ , $- 2 x - y + z - 2 w = - 9$ , $x - y - 3 z - 3 w = - 4$
4333	Solve by Substitution	x+4y+5z=18 , z=-7	$x + 4 y + 5 z = 18$ , $z = - 7$
4334	Solve by Substitution	x+4y+5z=19 , 2x-y+z=2	$x + 4 y + 5 z = 19$ , $2 x - y + z = 2$
4335	Solve by Substitution	x+4y+5z=7 , y-3z=4	$x + 4 y + 5 z = 7$ , $y - 3 z = 4$
4336	Solve by Substitution	x+4y=-10 , 9x+39y=-96	$x + 4 y = - 10$ , $9 x + 39 y = - 96$
4337	Solve by Substitution	x+4y=8 , 7x+28y=56	$x + 4 y = 8$ , $7 x + 28 y = 56$
4338	Solve by Substitution	-x+4y=8 , -3x+12y=24	$- x + 4 y = 8$ , $- 3 x + 12 y = 24$
4339	Solve by Substitution	x+4y-2z=9 , x+5y+2z=-2 , x+4y-28z=22	$x + 4 y - 2 z = 9$ , $x + 5 y + 2 z = - 2$ , $x + 4 y - 28 z = 22$
4340	Solve by Substitution	x+4y-3z=-8 , 3x-y+3z=12 , x+y+6z=1	$x + 4 y - 3 z = - 8$ , $3 x - y + 3 z = 12$ , $x + y + 6 z = 1$
4341	Solve by Substitution	x+5y=12 , 3x-7y=12	$x + 5 y = 12$ , $3 x - 7 y = 12$
4342	Solve by Substitution	x+5y=16 , -x+2y=56	$x + 5 y = 16$ , $- x + 2 y = 56$
4343	Solve by Substitution	x+5y=3 , -3x+4y=3	$x + 5 y = 3$ , $- 3 x + 4 y = 3$
4344	Solve by Substitution	x+5y=5 , 4x-7y=1	$x + 5 y = 5$ , $4 x - 7 y = 1$
4345	Solve by Substitution	x+5y=-6 , x-2y=8	$x + 5 y = - 6$ , $x - 2 y = 8$
4346	Solve by Substitution	-x+5y=8 , x+y=2 , y=0	$- x + 5 y = 8$ , $x + y = 2$ , $y = 0$
4347	Solve by Substitution	x+5z=-6+x , 3x+3y=10+z , x+3y+2z=5	$x + 5 z = - 6 + x$ , $3 x + 3 y = 10 + z$ , $x + 3 y + 2 z = 5$
4348	Solve by Substitution	x+6y+4z=-3 , 2x+9y-z=-12 , 3x+19y+15z=-7	$x + 6 y + 4 z = - 3$ , $2 x + 9 y - z = - 12$ , $3 x + 19 y + 15 z = - 7$
4349	Solve by Substitution	x+6y=-10 , -3x+3y=-12	$x + 6 y = - 10$ , $- 3 x + 3 y = - 12$
4350	Solve by Substitution	x+6y=-5 , 4x+2y=2	$x + 6 y = - 5$ , $4 x + 2 y = 2$
4351	Solve by Substitution	x+7y=18 , 3x-5y=15	$x + 7 y = 18$ , $3 x - 5 y = 15$
4352	Solve by Substitution	x+7y=-7 , -6x+7y=-56	$x + 7 y = - 7$ , $- 6 x + 7 y = - 56$
4353	Solve by Substitution	x+7y=z+13 , x=5+y-z , x+y+4z=21	$x + 7 y = z + 13$ , $x = 5 + y - z$ , $x + y + 4 z = 21$
4354	Solve by Substitution	x+9y=30 , -4x+8y=56	$x + 9 y = 30$ , $- 4 x + 8 y = 56$
4355	Solve by Substitution	x+w=6 , 2x+y+w=16 , x-2z=0 , z+w=5	$x + w = 6$ , $2 x + y + w = 16$ , $x - 2 z = 0$ , $z + w = 5$
4356	Solve by Substitution	x+xy=7 , x-2y=-5	$x + x y = 7$ , $x - 2 y = - 5$
4357	Solve by Substitution	x+y+5z+w=1 , y+2z+w=0 , x+3y+7z+2w=1 , x+y+5z+2w=1	$x + y + 5 z + w = 1$ , $y + 2 z + w = 0$ , $x + 3 y + 7 z + 2 w = 1$ , $x + y + 5 z + 2 w = 1$
4358	Solve by Substitution	x+y+z+u+v=41 , y-z+u-v=-1 , z+u+v=24 , u-v=1 , v=7	$x + y + z + u + v = 41$ , $y - z + u - v = - 1$ , $z + u + v = 24$ , $u - v = 1$ , $v = 7$
4359	Solve by Substitution	x+y+z+w=20 , 2x-y+z=0 , 3x+2y+z-w=30 , x-2y-2z+2w=-5	$x + y + z + w = 20$ , $2 x - y + z = 0$ , $3 x + 2 y + z - w = 30$ , $x - 2 y - 2 z + 2 w = - 5$
4360	Solve by Substitution	x+y+z=0 , 3x+5y+4z=5 , 3x-6y-5z=2	$x + y + z = 0$ , $3 x + 5 y + 4 z = 5$ , $3 x - 6 y - 5 z = 2$
4361	Solve by Substitution	x+y+z=10000 , y+5z=27200 , z=5200	$x + y + z = 10000$ , $y + 5 z = 27200$ , $z = 5200$
4362	Solve by Substitution	x+y+z=-2 , 2x+2y-3z=11 , 3x-y+z=4	$x + y + z = - 2$ , $2 x + 2 y - 3 z = 11$ , $3 x - y + z = 4$
4363	Solve by Substitution	x+y+z=28000 , 0.06x+0.07y+0.08=1900 , y=z+1000	$x + y + z = 28000$ , $0.06 x + 0.07 y + 0.08 = 1900$ , $y = z + 1000$
4364	Solve by Substitution	x+y+z=-3 , x-y+4z=18 , 5x+y+z=-23	$x + y + z = - 3$ , $x - y + 4 z = 18$ , $5 x + y + z = - 23$
4365	Solve by Substitution	x+y+z=310 , 35000x+70000y+60000z=15000000	$x + y + z = 310$ , $35000 x + 70000 y + 60000 z = 15000000$
4366	Solve by Substitution	x+y+z=310 , 45000x+70000y+60000z=14000000 , x-2y=0	$x + y + z = 310$ , $45000 x + 70000 y + 60000 z = 14000000$ , $x - 2 y = 0$
4367	Solve by Substitution	x+y+z=-4 , x-y+2z=0 , 4x+y+z=-1	$x + y + z = - 4$ , $x - y + 2 z = 0$ , $4 x + y + z = - 1$
4368	Solve by Substitution	x+y+z=57 , 16x+13y+15x=847 , 18x+14y+15z=900	$x + y + z = 57$ , $16 x + 13 y + 15 x = 847$ , $18 x + 14 y + 15 z = 900$
4369	Solve by Substitution	x+y+z=6 , x-2y-z=6 , 2x-y-2z=6	$x + y + z = 6$ , $x - 2 y - z = 6$ , $2 x - y - 2 z = 6$
4370	Solve by Substitution	x+y+z=7 , 2x+3y+4z=24 , 2x+y-z=0	$x + y + z = 7$ , $2 x + 3 y + 4 z = 24$ , $2 x + y - z = 0$
4371	Solve by Substitution	x+y+z=-9 , 2x+5y+2z=-36 , -x+7y-3z=-29	$x + y + z = - 9$ , $2 x + 5 y + 2 z = - 36$ , $- x + 7 y - 3 z = - 29$
4372	Solve by Substitution	x+y=0 , 3x-y=5 , x-y=-1	$x + y = 0$ , $3 x - y = 5$ , $x - y = - 1$
4373	Solve by Substitution	-x+y=-1 , 3x-2y=0 , 2x-y=4	$- x + y = - 1$ , $3 x - 2 y = 0$ , $2 x - y = 4$
4374	Solve by Substitution	x+y=10 , x-y=-6	$x + y = 10$ , $x - y = - 6$
4375	Solve by Substitution	x+y=10 , 3x+2y=24	$x + y = 10$ , $3 x + 2 y = 24$
4376	Solve by Substitution	x+y=10 , 4x+3y=34	$x + y = 10$ , $4 x + 3 y = 34$
4377	Solve by Substitution	x+y=10 , x-y=4	$x + y = 10$ , $x - y = 4$
4378	Solve by Substitution	x+y=12 , 7x-y=28	$x + y = 12$ , $7 x - y = 28$
4379	Solve by Substitution	x+y=12 , x-3y=-10	$x + y = 12$ , $x - 3 y = - 10$
4380	Solve by Substitution	x+y=12000 , 25x+45y=520000	$x + y = 12000$ , $25 x + 45 y = 520000$
4381	Solve by Substitution	x+y=14 , x-y=4	$x + y = 14$ , $x - y = 4$
4382	Solve by Substitution	x+y=14 , 6x-y=42	$x + y = 14$ , $6 x - y = 42$
4383	Solve by Substitution	x+y=14 , x-3y=-2	$x + y = 14$ , $x - 3 y = - 2$
4384	Solve by Substitution	x+y=15 , 300x+200y=3700	$x + y = 15$ , $300 x + 200 y = 3700$
4385	Solve by Substitution	x+y=15702 , x-y=456	$x + y = 15702$ , $x - y = 456$
4386	Solve by Substitution	x+y=1607 , x=107+y	$x + y = 1607$ , $x = 107 + y$
4387	Solve by Substitution	x+y=167 , 5x+8y=25	$x + y = 167$ , $5 x + 8 y = 25$
4388	Solve by Substitution	x+y=17 , x-y=1	$x + y = 17$ , $x - y = 1$
4389	Solve by Substitution	x+y=180 , 0.3x+0.8y=0.35(180)	$x + y = 180$ , $0.3 x + 0.8 y = 0.35 (180)$
4390	Solve by Substitution	x+y=2 , 2x-y=1	$x + y = 2$ , $2 x - y = 1$
4391	Solve by Substitution	x+y=22 , 4x+2y=54	$x + y = 22$ , $4 x + 2 y = 54$
4392	Solve by Substitution	x+y=22 , y=x^2-4x+4	$x + y = 22$ , $y = x^{2} - 4 x + 4$
4393	Solve by Substitution	a+y=258000 , 12a+6y=34000	$a + y = 258000$ , $12 a + 6 y = 34000$
4394	Solve by Substitution	x+y=3000 , 400x+360y=400	$x + y = 3000$ , $400 x + 360 y = 400$
4395	Solve by Substitution	x+y=370 , 10x+15y=4950	$x + y = 370$ , $10 x + 15 y = 4950$
4396	Solve by Substitution	-x+y=4 , 13x+3y=68	$- x + y = 4$ , $13 x + 3 y = 68$
4397	Solve by Substitution	x+y=4 , 20x+41y=1	$x + y = 4$ , $20 x + 41 y = 1$
4398	Solve by Substitution	x+y=5 , 2x-2y=2	$x + y = 5$ , $2 x - 2 y = 2$
4399	Solve by Substitution	x+y=5 , 3x-y=3	$x + y = 5$ , $3 x - y = 3$
4400	Solve by Substitution	x+y=5 , 2x-y=4	$x + y = 5$ , $2 x - y = 4$