Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
17101	Solve by Substitution	x^2=y^2+39 , x-y=3	$x^{2} = y^{2} + 39$ , $x - y = 3$
17102	Solve by Substitution	x^2-4y^2=16 , 2y-x=2	$x^{2} - 4 y^{2} = 16$ , $2 y - x = 2$
17103	Solve by Substitution	x^2-4y^2=5 , x^2-2xy=15	$x^{2} - 4 y^{2} = 5$ , $x^{2} - 2 x y = 15$
17104	Solve by Substitution	x^2-4y^2=-7 , 3x^2+y^2=31	$x^{2} - 4 y^{2} = - 7$ , $3 x^{2} + y^{2} = 31$
17105	Solve by Substitution	xy^2=10^11 , (x^3)/y=10^19	$x y^{2} = 10^{11}$ , $\frac{x^{3}}{y} = 10^{19}$
17106	Solve by Substitution	0.05y+0.08x=27.74 , x+y=538	$0.05 y + 0.08 x = 27.74$ , $x + y = 538$
17107	Solve by Substitution	0.1x+0.4y=3.3 , 0.7x-0.7y=8.4	$0.1 x + 0.4 y = 3.3$ , $0.7 x - 0.7 y = 8.4$
17108	Solve by Substitution	-0.1x+0.6y=0.53 , 0.7x+0.6y=0.13	$- 0.1 x + 0.6 y = 0.53$ , $0.7 x + 0.6 y = 0.13$
17109	Solve by Substitution	0.3x+0.5y=35 , 0.06x+0.05y=5	$0.3 x + 0.5 y = 35$ , $0.06 x + 0.05 y = 5$
17110	Solve by Substitution	0.3x-0.1y=0.16 , 0.9x-0.6y=0.24	$0.3 x - 0.1 y = 0.16$ , $0.9 x - 0.6 y = 0.24$
17111	Solve by Substitution	0.4x+0.9y=0.39 , 0.7x+0.1y=0.24	$0.4 x + 0.9 y = 0.39$ , $0.7 x + 0.1 y = 0.24$
17112	Solve by Substitution	0.5x+0.1y=0.9 , 0.1x-0.1y=-0.1 , x+y=11/3	$0.5 x + 0.1 y = 0.9$ , $0.1 x - 0.1 y = - 0.1$ , $x + y = \frac{11}{3}$
17113	Solve by Substitution	0x+3y+2z-k=-9 , x+6y-5z+2k=1 , -3x-6y-2z^2*(5k)=7 , 4x+7y+6z-k=17	$0 x + 3 y + 2 z - k = - 9$ , $x + 6 y - 5 z + 2 k = 1$ , $- 3 x - 6 y - 2 z^{2} \cdot (5 k) = 7$ , $4 x + 7 y + 6 z - k = 17$
17114	Solve by Substitution	-10x1-30x2+26x3=1 , 15x1+31x2-11x3=-28 , -10x1+4x2=-11	$- 10 x \cdot 1 - 30 x \cdot 2 + 26 x \cdot 3 = 1$ , $15 x \cdot 1 + 31 x \cdot 2 - 11 x \cdot 3 = - 28$ , $- 10 x \cdot 1 + 4 x \cdot 2 = - 11$
17115	Solve by Substitution	y=3x-6 , y=x^2-x-6	$y = 3 x - 6$ , $y = x^{2} - x - 6$
17116	Solve by Substitution	y=-42x-4 , y=2x^2-42x-36	$y = - 42 x - 4$ , $y = 2 x^{2} - 42 x - 36$
17117	Solve by Substitution	y=43.81-0.395x , y=15-x	$y = 43.81 - 0.395 x$ , $y = 15 - x$
17118	Solve by Substitution	y=4x , x=90 , y=200 , x+y=250	$y = 4 x$ , $x = 90$ , $y = 200$ , $x + y = 250$
17119	Find Where Undefined/Discontinuous	( log of x-10)/( log base 1x-100 of 25)	$\frac{\log (x - 10)}{\log_{1 x - 100} (25)}$
17120	Solve by Substitution	y=4x-3 , 12x-9=3y	$y = 4 x - 3$ , $12 x - 9 = 3 y$
17121	Solve by Substitution	y=4x-3 , y=-8x-9	$y = 4 x - 3$ , $y = - 8 x - 9$
17122	Solve by Substitution	y=-4x-7 , -y=5x+10	$y = - 4 x - 7$ , $- y = 5 x + 10$
17123	Solve by Substitution	y=52+0.60x , y=70	$y = 52 + 0.6 x$ , $y = 70$
17124	Solve by Substitution	y=-5x , y^2-4x^2=189	$y = - 5 x$ , $y^{2} - 4 x^{2} = 189$
17125	Solve by Substitution	y=5x-3 , y=x+1	$y = 5 x - 3$ , $y = x + 1$
17126	Solve by Substitution	y=-5x-6 , -y=6x+3	$y = - 5 x - 6$ , $- y = 6 x + 3$
17127	Solve by Substitution	y=6x-14 , y=-3x+11 , y=2x	$y = 6 x - 14$ , $y = - 3 x + 11$ , $y = 2 x$
17128	Solve by Substitution	y=7x^3+3 , y=7x^3+8	$y = 7 x^{3} + 3$ , $y = 7 x^{3} + 8$
17129	Solve by Substitution	y=x , x=-3y	$y = x$ , $x = - 3 y$
17130	Solve by Substitution	y=x , x=-5y	$y = x$ , $x = - 5 y$
17131	Solve by Substitution	y=x+5 , y=-x+1	$y = x + 5$ , $y = - x + 1$
17132	Solve by Substitution	y=x+6 , y=-2x-12	$y = x + 6$ , $y = - 2 x - 12$
17133	Solve by Substitution	y=x-4 , y=-x+4	$y = x - 4$ , $y = - x + 4$
17134	Solve by Substitution	y-3x=3 , y=3x-2	$y - 3 x = 3$ , $y = 3 x - 2$
17135	Solve by Substitution	z=5x+6y , 7x+4y=28 , 10x+y=28	$z = 5 x + 6 y$ , $7 x + 4 y = 28$ , $10 x + y = 28$
17136	Solve by Substitution	7x-6y=-1 , -14x+12y=2	$7 x - 6 y = - 1$ , $- 14 x + 12 y = 2$
17137	Solve by Substitution	(x+y)2.5=22.5 , (x-y)4.5=22.5	$(x + y) \cdot 2.5 = 22.5$ , $(x - y) \cdot 4.5 = 22.5$
17138	Solve by Substitution	0.044x+34500-0.069x=30000 , -0.025x=-4500	$0.044 x + 34500 - 0.069 x = 30000$ , $- 0.025 x = - 4500$
17139	Solve by Substitution	0.2x+0.4y=160(0.35) , x+y=160	$0.2 x + 0.4 y = 160 (0.35)$ , $x + y = 160$
17140	Solve by Substitution	0.5x-0.4y=2 , 5/4x+3y=-5	$0.5 x - 0.4 y = 2$ , $\frac{5}{4} x + 3 y = - 5$
17141	Solve by Substitution	0.6x+0.7y=-0.5 , 0.05x-0.9y=-1	$0.6 x + 0.7 y = - 0.5$ , $0.05 x - 0.9 y = - 1$
17142	Solve by Substitution	0.8x+0.3y=m , 0.2x+0.7y=s	$0.8 x + 0.3 y = m$ , $0.2 x + 0.7 y = s$
17143	Solve by Substitution	1/x+1/y+1/z=1/15 , 1/y+1/z=1/20 , 18/x+18/y+12/z=1	$\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = \frac{1}{15}$ , $\frac{1}{y} + \frac{1}{z} = \frac{1}{20}$ , $\frac{18}{x} + \frac{18}{y} + \frac{12}{z} = 1$
17144	Solve by Substitution	-1/10x+1/2y=2 , 2x-10y=-40	$- \frac{1}{10} x + \frac{1}{2} y = 2$ , $2 x - 10 y = - 40$
17145	Solve by Substitution	1/2x+1/2y=1 , x-y=8	$\frac{1}{2} x + \frac{1}{2} y = 1$ , $x - y = 8$
17146	Solve by Substitution	-1/2x+4y=-2 , x-6y=6	$- \frac{1}{2} x + 4 y = - 2$ , $x - 6 y = 6$
17147	Solve by Substitution	1/3x-2y=1 , 5x-30y=18	$\frac{1}{3} x - 2 y = 1$ , $5 x - 30 y = 18$
17148	Solve by Substitution	2/3x+3/5y=1/5 , 1/2x+1/3y=1/2	$\frac{2}{3} x + \frac{3}{5} y = \frac{1}{5}$ , $\frac{1}{2} x + \frac{1}{3} y = \frac{1}{2}$
17149	Solve by Substitution	-2/3x+y/2=1/6 , x/6-y=5/6	$- \frac{2}{3} x + \frac{y}{2} = \frac{1}{6}$ , $\frac{x}{6} - y = \frac{5}{6}$
17150	Solve by Substitution	2/3x+y=7 , 1/2x+3/4y=21/4	$\frac{2}{3} x + y = 7$ , $\frac{1}{2} x + \frac{3}{4} y = \frac{21}{4}$
17151	Solve by Substitution	3/2x-2/3y=23/2 , 2/5x-1/3y=13/5	$\frac{3}{2} x - \frac{2}{3} y = \frac{23}{2}$ , $\frac{2}{5} x - \frac{1}{3} y = \frac{13}{5}$
17152	Solve by Substitution	3/4x+3/5y=3/5 , 1/3x+1/2y=-2/3	$\frac{3}{4} x + \frac{3}{5} y = \frac{3}{5}$ , $\frac{1}{3} x + \frac{1}{2} y = - \frac{2}{3}$
17153	Solve by Substitution	5/2x+3/2y=12 , 9x+2/3y=29	$\frac{5}{2} x + \frac{3}{2} y = 12$ , $9 x + \frac{2}{3} y = 29$
17154	Solve by Substitution	x+3y=5 , x-3y=3 , y=0 , x=0	$x + 3 y = 5$ , $x - 3 y = 3$ , $y = 0$ , $x = 0$
17155	Solve by Substitution	x+4(-1)+5z=18 , z=-7	$x + 4 (- 1) + 5 z = 18$ , $z = - 7$
17156	Expand Using Pascal's Triangle	(1+2i)^3	${(1 + 2 i)}^{3}$
17157	Solve by Substitution	x+4y=7 , 1/2x+2=5	$x + 4 y = 7$ , $\frac{1}{2} x + 2 = 5$
17158	Solve by Substitution	a+5y=5 , -a-5y=-5	$a + 5 y = 5$ , $- a - 5 y = - 5$
17159	Solve by Substitution	x+y+z=5 , 15x+160y+20z=370 , x+12y+z=27	$x + y + z = 5$ , $15 x + 160 y + 20 z = 370$ , $x + 12 y + z = 27$
17160	Solve by Substitution	x+y+z=86 , 85x+52y+58z=5174	$x + y + z = 86$ , $85 x + 52 y + 58 z = 5174$
17161	Solve by Substitution	x+y=0 , x-y=10	$x + y = 0$ , $x - y = 10$
17162	Solve by Substitution	x+y=1 , x-y=-7	$x + y = 1$ , $x - y = - 7$
17163	Solve by Substitution	x+y=12 , x-3y=-4	$x + y = 12$ , $x - 3 y = - 4$
17164	Solve by Substitution	x+y=130 , 20x+10y=1500	$x + y = 130$ , $20 x + 10 y = 1500$
17165	Solve by Substitution	x+y=130 , 20x+10y=1500 , x=45 , y=32	$x + y = 130$ , $20 x + 10 y = 1500$ , $x = 45$ , $y = 32$
17166	Solve by Substitution	x+y=2 , 5x-y=3	$x + y = 2$ , $5 x - y = 3$
17167	Solve by Substitution	x+y=2 , 9x+5y=90 , 3x+5y=60	$x + y = 2$ , $9 x + 5 y = 90$ , $3 x + 5 y = 60$
17168	Solve by Substitution	x+y=3 , x+2y=4	$x + y = 3$ , $x + 2 y = 4$
17169	Solve by Substitution	-x-y=-44 , x+2y=82	$- x - y = - 44$ , $x + 2 y = 82$
17170	Solve by Substitution	x+y=5 , 4x-y=10	$x + y = 5$ , $4 x - y = 10$
17171	Expand Using Pascal's Triangle	(2p-q)^6	${(2 p - q)}^{6}$
17172	Solve by Substitution	x+y=7 , x-2y=-5	$x + y = 7$ , $x - 2 y = - 5$
17173	Solve by Substitution	x+y=9 , 2x+y=16	$x + y = 9$ , $2 x + y = 16$
17174	Solve by Substitution	x+y-2z=4 , x-y-5z=0 , 2/5x-7/5z=4	$x + y - 2 z = 4$ , $x - y - 5 z = 0$ , $\frac{2}{5} x - \frac{7}{5} z = 4$
17175	Solve by Substitution	x=0.2x+120 , x=0.4x	$x = 0.2 x + 120$ , $x = 0.4 x$
17176	Solve by Substitution	x=0 , y=0 , x+3y=5 , x-3y=3	$x = 0$ , $y = 0$ , $x + 3 y = 5$ , $x - 3 y = 3$
17177	Solve by Substitution	x=10 , y=29 , xy=64 , x^2=30	$x = 10$ , $y = 29$ , $x y = 64$ , $x^{2} = 30$
17178	Solve by Substitution	a=3t , y=5-t , t=4	$a = 3 t$ , $y = 5 - t$ , $t = 4$
17179	Solve by Substitution	x=40 , x+y=130	$x = 40$ , $x + y = 130$
17180	Solve by Substitution	x=45 , x+y=130	$x = 45$ , $x + y = 130$
17181	Solve by Substitution	x=75 , x+y=130	$x = 75$ , $x + y = 130$
17182	Solve by Substitution	x-2y=-1 , y=-2x+13	$x - 2 y = - 1$ , $y = - 2 x + 13$
17183	Solve by Substitution	x-2y=-2 , 2x+y=6 , x+2y=-6	$x - 2 y = - 2$ , $2 x + y = 6$ , $x + 2 y = - 6$
17184	Solve by Substitution	x-2y=3 , 8x-16y=24 , 4x-8y=12	$x - 2 y = 3$ , $8 x - 16 y = 24$ , $4 x - 8 y = 12$
17185	Solve by Substitution	x-2y=-8 , x+y=14 , x+2y=-14	$x - 2 y = - 8$ , $x + y = 14$ , $x + 2 y = - 14$
17186	Solve by Substitution	-x-3y=12 , 2x+6y=-24	$- x - 3 y = 12$ , $2 x + 6 y = - 24$
17187	Solve by Substitution	x-3y=14 , 2x-9y=40	$x - 3 y = 14$ , $2 x - 9 y = 40$
17188	Solve by Substitution	x-3y=-3 , y=-4x+14	$x - 3 y = - 3$ , $y = - 4 x + 14$
17189	Solve by Substitution	x-3y=4 , 3x+4y=1	$x - 3 y = 4$ , $3 x + 4 y = 1$
17190	Solve by Substitution	x-3y=9 , 3x-y=7	$x - 3 y = 9$ , $3 x - y = 7$
17191	Solve by Substitution	-x-4y+4=0 , x+4y=4	$- x - 4 y + 4 = 0$ , $x + 4 y = 4$
17192	Solve by Substitution	x-5y=35 , 5x-4y=28	$x - 5 y = 35$ , $5 x - 4 y = 28$
17193	Solve by Substitution	x-6y=a , 3x-6y=162	$x - 6 y = a$ , $3 x - 6 y = 162$
17194	Solve by Substitution	x-y=1 , x+2y=3 , y=0	$x - y = 1$ , $x + 2 y = 3$ , $y = 0$
17195	Solve by Substitution	-x-y=-14 , x+2y=18	$- x - y = - 14$ , $x + 2 y = 18$
17196	Solve by Substitution	x-y=4 , 5x+6y=-79	$x - y = 4$ , $5 x + 6 y = - 79$
17197	Solve by Substitution	x-y=-4 , x-y=0	$x - y = - 4$ , $x - y = 0$
17198	Solve by Substitution	x-y-8z=0 , y+4z=8 , 3y+14x=22	$x - y - 8 z = 0$ , $y + 4 z = 8$ , $3 y + 14 x = 22$
17199	Solve by Substitution	y1=24x+1/((1+x)^60) , y2=1	$y \cdot 1 = 24 x + \frac{1}{{(1 + x)}^{60}}$ , $y \cdot 2 = 1$
17200	Solve by Substitution	y=0.5x+2 , -y=2x+4	$y = 0.5 x + 2$ , $- y = 2 x + 4$