Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
17201	Solve by Substitution	y=-0.5x+800 , y=-0.75x+900 , y=-1.5x+1350	$y = - 0.5 x + 800$ , $y = - 0.75 x + 900$ , $y = - 1.5 x + 1350$
17202	Solve by Substitution	y=-1/2x+5 , y=3x-2	$y = - \frac{1}{2} x + 5$ , $y = 3 x - 2$
17203	Solve by Substitution	y=-1/2x-1 , y=1/4x-4	$y = - \frac{1}{2} x - 1$ , $y = \frac{1}{4} x - 4$
17204	Solve by Substitution	y=1/2x-4 , x=12	$y = \frac{1}{2} x - 4$ , $x = 12$
17205	Solve by Substitution	y=-1/4x+1 , -x-4y=-4	$y = - \frac{1}{4} x + 1$ , $- x - 4 y = - 4$
17206	Solve by Substitution	y=1/4x+6 , 4y=x+24	$y = \frac{1}{4} x + 6$ , $4 y = x + 24$
17207	Determine if True	f(-7)<0	$f (- 7) < 0$
17208	Solve by Substitution	y=x^2+2x-3 , y=8-2x-x^2	$y = x^{2} + 2 x - 3$ , $y = 8 - 2 x - x^{2}$
17209	Solve by Substitution	y=0.8x+7.2 , 20x+32y=48	$y = 0.8 x + 7.2$ , $20 x + 32 y = 48$
17210	Solve by Substitution	y=1+v((x-5)(-x-3)) , y=1+ square root of x+15	$y = 1 + v ((x - 5) (- x - 3))$ , $y = 1 + \sqrt{x + 15}$
17211	Solve by Substitution	y=-10x+2 , y=5x-8	$y = - 10 x + 2$ , $y = 5 x - 8$
17212	Solve by Substitution	y=10x-2 , y=3x+9	$y = 10 x - 2$ , $y = 3 x + 9$
17213	Solve by Substitution	y=22000+100x , y=200x	$y = 22000 + 100 x$ , $y = 200 x$
17214	Solve by Substitution	y=2x+2 , y=(-1/3)x+14/3	$y = 2 x + 2$ , $y = (- \frac{1}{3}) x + \frac{14}{3}$
17215	Solve by Substitution	y=2x+3 , y=4x+2	$y = 2 x + 3$ , $y = 4 x + 2$
17216	Solve by Substitution	y=3x , 5x-y=6	$y = 3 x$ , $5 x - y = 6$
17217	Solve by Substitution	y=3x+1 , y=2x-1	$y = 3 x + 1$ , $y = 2 x - 1$
17218	Solve by Substitution	y=-3x+4 , 6x+2y=8	$y = - 3 x + 4$ , $6 x + 2 y = 8$
17219	Solve by Substitution	y=3x+4 , y=-2x+9	$y = 3 x + 4$ , $y = - 2 x + 9$
17220	Solve by Substitution	f=2500000 , r=7% , t=20	$f = 2500000$ , $r = 7 %$ , $t = 20$
17221	Solve by Substitution	f=2500000 , r=7% , t=20 , pv=50000000	$f = 2500000$ , $r = 7 %$ , $t = 20$ , $p v = 50000000$
17222	Solve by Substitution	LW=48 , L^2+W^2=100	$L W = 48$ , $L^{2} + W^{2} = 100$
17223	Solve by Substitution	p=-q^2+8400 , p=50q	$p = - q^{2} + 8400$ , $p = 50 q$
17224	Solve by Substitution	p=1.50q , 17=1.50q	$p = 1.5 q$ , $17 = 1.5 q$
17225	Solve by Substitution	p=-2q+322 , p=8q+2	$p = - 2 q + 322$ , $p = 8 q + 2$
17226	Solve by Substitution	p=300-3/5q , p=2/5q	$p = 300 - \frac{3}{5} q$ , $p = \frac{2}{5} q$
17227	Find the Domain and Range	r(x)=\|x-6\|-6	$r (x) = \| x - 6 \| - 6$
17228	Solve by Substitution	Qd=Qs , Qd=51-3p , Qs=6p-10	$Q d = Q s$ , $Q d = 51 - 3 p$ , $Q s = 6 p - 10$
17229	Solve by Substitution	r=4sin(x) , r=4cos(x)	$r = 4 \sin (x)$ , $r = 4 \cos (x)$
17230	Solve by Substitution	r-4s=0 , 5r-5s=105	$r - 4 s = 0$ , $5 r - 5 s = 105$
17231	Solve by Substitution	t3=3 , t10=6561	$t \cdot 3 = 3$ , $t \cdot 10 = 6561$
17232	Solve by Substitution	t=x+y , 2x+3y=59 , 2x+y=37	$t = x + y$ , $2 x + 3 y = 59$ , $2 x + y = 37$
17233	Solve by Substitution	u=i-j , v=3i+5j	$u = i - j$ , $v = 3 i + 5 j$
17234	Solve by Substitution	v=3i+j , w=i+3j	$v = 3 i + j$ , $w = i + 3 j$
17235	Solve by Substitution	x1+x2+x3+s1=38 , -x1+x2-x3+s2=0 , x3+s3=2 , -200x1-644x2-266x*3+z=0	$x \cdot 1 + x \cdot 2 + x \cdot 3 + s \cdot 1 = 38$ , $- x \cdot 1 + x \cdot 2 - x \cdot 3 + s \cdot 2 = 0$ , $x \cdot 3 + s \cdot 3 = 2$ , $- 200 x \cdot 1 - 644 x \cdot 2 - 266 x \cdot 3 + z = 0$
17236	Solve Using a Matrix by Elimination	7x-6y=-5 , -14x+12y=10	$7 x - 6 y = - 5$ , $- 14 x + 12 y = 10$
17237	Solve by Substitution	7x^2-3y^2=0 , 5x^2+7y^2=0	$7 x^{2} - 3 y^{2} = 0$ , $5 x^{2} + 7 y^{2} = 0$
17238	Solve by Substitution	7x+17=9y , 4x+6y=46	$7 x + 17 = 9 y$ , $4 x + 6 y = 46$
17239	Solve by Substitution	7x+y=7 , y=-3x+3	$7 x + y = 7$ , $y = - 3 x + 3$
17240	Find the LCD	1/(1+cos(x))-1/(1-cos(x))	$\frac{1}{1 + \cos (x)} - \frac{1}{1 - \cos (x)}$
17241	Solve by Substitution	7x-8y=-18 , x-4y=-14	$7 x - 8 y = - 18$ , $x - 4 y = - 14$
17242	Solve by Substitution	8x+2y=16 , x+y=5 , 2x+7y=20	$8 x + 2 y = 16$ , $x + y = 5$ , $2 x + 7 y = 20$
17243	Solve by Substitution	8x+2y=43 , -3x+5y=4	$8 x + 2 y = 43$ , $- 3 x + 5 y = 4$
17244	Solve by Substitution	8x+5y=-28 , x=30-9y	$8 x + 5 y = - 28$ , $x = 30 - 9 y$
17245	Solve by Substitution	8x-4y=3 , -20x+10y=9	$8 x - 4 y = 3$ , $- 20 x + 10 y = 9$
17246	Solve by Substitution	9x-3y=-18 , -6x+2y=-12	$9 x - 3 y = - 18$ , $- 6 x + 2 y = - 12$
17247	Solve by Substitution	9x-6y=-24 , 9x=6y-24	$9 x - 6 y = - 24$ , $9 x = 6 y - 24$
17248	Solve by Substitution	9x-7y=63 , 45x-35y=18	$9 x - 7 y = 63$ , $45 x - 35 y = 18$
17249	Solve by Substitution	a+0.51b=458 , a+0.79b=598	$a + 0.51 b = 458$ , $a + 0.79 b = 598$
17250	Solve by Substitution	a=1/2b+3 , a-4b=-11	$a = \frac{1}{2} b + 3$ , $a - 4 b = - 11$
17251	Solve by Substitution	a=35+5g , b=100g-8g	$a = 35 + 5 g$ , $b = 100 g - 8 g$
17252	Solve by Substitution	A=4300(1+n*0.05) , FV=(603.42((1+0.01)^(4n)-1))/0.01	$A = 4300 (1 + n \cdot 0.05)$ , $F V = \frac{603.42 ({(1 + 0.01)}^{4 n} - 1)}{0.01}$
17253	Solve by Substitution	bx-15y=-14 , -4x-6y=7	$b x - 15 y = - 14$ , $- 4 x - 6 y = 7$
17254	Solve by Substitution	df(x)=2x^2-1 , f(2)=4	$d f (x) = 2 x^{2} - 1$ , $f (2) = 4$
17255	Find the Number of Possibilities	12 permute 10	${}_{12}P_{10}$
17256	Solve by Substitution	2x-4y=-8 , 3+6y=0	$2 x - 4 y = - 8$ , $3 + 6 y = 0$
17257	Solve by Substitution	2x-6y=7 , 5x+2y=10	$2 x - 6 y = 7$ , $5 x + 2 y = 10$
17258	Solve by Substitution	2x-y=-1 , x+y=4	$2 x - y = - 1$ , $x + y = 4$
17259	Solve by Substitution	2x-y=-2 , 2x+y=-6	$2 x - y = - 2$ , $2 x + y = - 6$
17260	Solve by Substitution	2x-y=4 , 6x-ky=3	$2 x - y = 4$ , $6 x - k y = 3$
17261	Solve by Substitution	2x-y=4 , x+y=3 , y=0	$2 x - y = 4$ , $x + y = 3$ , $y = 0$
17262	Solve by Substitution	2x-y=-9 , -4x+2y=18	$2 x - y = - 9$ , $- 4 x + 2 y = 18$
17263	Solve by Substitution	3(x-y)=5(x+3)-13 , 2(2x-3y-10)=5(y+2)	$3 (x - y) = 5 (x + 3) - 13$ , $2 (2 x - 3 y - 10) = 5 (y + 2)$
17264	Solve by Substitution	3000x+500y=27500 , 10000x+2000y=100000	$3000 x + 500 y = 27500$ , $10000 x + 2000 y = 100000$
17265	Solve by Substitution	30a+70b=47000 , 1.5a+3b=123000	$30 a + 70 b = 47000$ , $1.5 a + 3 b = 123000$
17266	Solve by Substitution	360x+90y=720 , x+y=5 , 15x+40y=120	$360 x + 90 y = 720$ , $x + y = 5$ , $15 x + 40 y = 120$
17267	Solve by Substitution	3x1-4x2=-7 , -6x1+8x2=14	$3 x \cdot 1 - 4 x \cdot 2 = - 7$ , $- 6 x \cdot 1 + 8 x \cdot 2 = 14$
17268	Solve by Substitution	3x+2y=10 , 2x-3y=5	$3 x + 2 y = 10$ , $2 x - 3 y = 5$
17269	Solve by Substitution	3x+4y+2z=0 , 4x-y+5z=1 , 7x+3y+3z=1	$3 x + 4 y + 2 z = 0$ , $4 x - y + 5 z = 1$ , $7 x + 3 y + 3 z = 1$
17270	Solve by Substitution	3x+4y=7 , 6x+8y=6	$3 x + 4 y = 7$ , $6 x + 8 y = 6$
17271	Solve by Substitution	3x+5y=-3 , -6x-10y=7	$3 x + 5 y = - 3$ , $- 6 x - 10 y = 7$
17272	Solve by Substitution	3x+5y=6.54 , 6x+4y=7.50	$3 x + 5 y = 6.54$ , $6 x + 4 y = 7.5$
17273	Find the Distance Between Two Points	(3,-18) , (10,y)	$(3, - 18)$ , $(10, y)$
17274	Find the Distance Between Two Points	(3,-2) , (1.5,-2)	$(3, - 2) (1.5, - 2)$
17275	Find the Distance Between Two Points	(3,-3) , (-1,3)	$(3, - 3) (- 1, 3)$
17276	Find the Distance Between Two Points	(3,4) , (-2,7)	$(3, 4)$ , $(- 2, 7)$
17277	Find the Distance Between Two Points	(-3,5) , (2,5)	$(- 3, 5) (2, 5)$
17278	Find the Distance Between Two Points	(3,5) , (4,1)	$(3, 5)$ , $(4, 1)$
17279	Find the Distance Between Two Points	(3,-5) , (5,-4)	$(3, - 5) (5, - 4)$
17280	Find the Distance Between Two Points	(3,-5) , (8,-7)	$(3, - 5) (8, - 7)$
17281	Find the Distance Between Two Points	(3,-5) , (6,3)	$(3, - 5)$ , $(6, 3)$
17282	Find the Distance Between Two Points	(3,6) , (3,8)	$(3, 6)$ , $(3, 8)$
17283	Find the Distance Between Two Points	(-3,-8) , (1,-2)	$(- 3, - 8)$ , $(1, - 2)$
17284	Find the Distance Between Two Points	(4,-1) , (6,-5)	$(4, - 1) (6, - 5)$
17285	Find the Distance Between Two Points	(-4,5) , (0,-2)	$(- 4, 5) (0, - 2)$
17286	Solve by Substitution	3x+6y=6 , 5x-3y=7	$3 x + 6 y = 6$ , $5 x - 3 y = 7$
17287	Solve by Substitution	3x+7y-2z=0 , 7x-5y+3z=1 , 10x+2y+z=1	$3 x + 7 y - 2 z = 0$ , $7 x - 5 y + 3 z = 1$ , $10 x + 2 y + z = 1$
17288	Solve by Substitution	-3x+y=1 , 4x-7y=6	$- 3 x + y = 1$ , $4 x - 7 y = 6$
17289	Solve by Substitution	3x+y=13 , 7x-y=14	$3 x + y = 13$ , $7 x - y = 14$
17290	Solve by Substitution	3x+y=-17 , x-y=-3	$3 x + y = - 17$ , $x - y = - 3$
17291	Solve by Substitution	3x+y=5 , x-2y=4	$3 x + y = 5$ , $x - 2 y = 4$
17292	Solve for x	5/4x-2/3y=3	$\frac{5}{4} x - \frac{2}{3} y = 3$
17293	Solve by Substitution	3x=8-y , 4x=93+5y	$3 x = 8 - y$ , $4 x = 93 + 5 y$
17294	Solve by Substitution	3x-2y+5=0 , -3+4y-7=30 , 8x-4y+5z=0	$3 x - 2 y + 5 = 0$ , $- 3 + 4 y - 7 = 30$ , $8 x - 4 y + 5 z = 0$
17295	Solve by Substitution	-3x-2y=0 , 3x-y=8	$- 3 x - 2 y = 0$ , $3 x - y = 8$
17296	Solve by Substitution	3x-2y=0 , 8x-y=13	$3 x - 2 y = 0$ , $8 x - y = 13$
17297	Solve by Substitution	3x-2y=12 , 7x+2y=8	$3 x - 2 y = 12$ , $7 x + 2 y = 8$
17298	Solve by Substitution	3x-2y=25 , 2x+3y=8	$3 x - 2 y = 25$ , $2 x + 3 y = 8$
17299	Solve by Substitution	3x-2y=-6 , -3x-y=-12	$3 x - 2 y = - 6$ , $- 3 x - y = - 12$
17300	Solve by Substitution	3x-3y=-12 , 18x-7y=-17	$3 x - 3 y = - 12$ , $18 x - 7 y = - 17$