Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5301	Solve Using an Augmented Matrix	3x+y=1 , -7x-2y=-1	$3 x + y = 1$ , $- 7 x - 2 y = - 1$
5302	Solve Using an Augmented Matrix	3x+y=13 , 7x-y=14	$3 x + y = 13$ , $7 x - y = 14$
5303	Solve Using an Augmented Matrix	3x+y=2 , 2x-y=3	$3 x + y = 2$ , $2 x - y = 3$
5304	Solve Using an Augmented Matrix	3x+2y=7 , 9x+6y=9	$3 x + 2 y = 7$ , $9 x + 6 y = 9$
5305	Solve Using an Augmented Matrix	3x-3y=-6 , 4x-3y=7	$3 x - 3 y = - 6$ , $4 x - 3 y = 7$
5306	Solve Using an Augmented Matrix	3x+3y=9 , 4x-2y=0	$3 x + 3 y = 9$ , $4 x - 2 y = 0$
5307	Solve Using an Augmented Matrix	3x+3y-12z=6 , 5x+y-z=5 , -x-y+4z=3	$3 x + 3 y - 12 z = 6$ , $5 x + y - z = 5$ , $- x - y + 4 z = 3$
5308	Solve Using an Augmented Matrix	3x+4y=5 , 6x+8y=4	$3 x + 4 y = 5$ , $6 x + 8 y = 4$
5309	Solve Using an Augmented Matrix	3x+6y-5z=35 , x+2y+4z=-11 , 4x-4y+6z=-28	$3 x + 6 y - 5 z = 35$ , $x + 2 y + 4 z = - 11$ , $4 x - 4 y + 6 z = - 28$
5310	Solve Using an Augmented Matrix	2x+y=810 , x+y=510	$2 x + y = 810$ , $x + y = 510$
5311	Solve Using an Augmented Matrix	2x-3y+z-7=0 , x+y-z=1 , 2x+2y-3z+4=0	$2 x - 3 y + z - 7 = 0$ , $x + y - z = 1$ , $2 x + 2 y - 3 z + 4 = 0$
5312	Solve Using an Augmented Matrix	2x-3y=12 , 4x-6y=-24	$2 x - 3 y = 12$ , $4 x - 6 y = - 24$
5313	Solve Using an Augmented Matrix	2x-3y=14 , 3x+2y=-5	$2 x - 3 y = 14$ , $3 x + 2 y = - 5$
5314	Solve Using an Augmented Matrix	2x-3y=-2 , 2x+2y=13	$2 x - 3 y = - 2$ , $2 x + 2 y = 13$
5315	Solve Using an Augmented Matrix	2x-3y=2 , 4x-6y=1	$2 x - 3 y = 2$ , $4 x - 6 y = 1$
5316	Solve Using an Augmented Matrix	2x-3y=4 , 2x+2y=9	$2 x - 3 y = 4$ , $2 x + 2 y = 9$
5317	Solve Using an Augmented Matrix	2x-3y=5 , 3x+4y=-1	$2 x - 3 y = 5$ , $3 x + 4 y = - 1$
5318	Solve Using an Augmented Matrix	2x-3y-9z=1 , x+3z=3 , -3x+y-4z=-6	$2 x - 3 y - 9 z = 1$ , $x + 3 z = 3$ , $- 3 x + y - 4 z = - 6$
5319	Solve Using an Augmented Matrix	2x-4y+8z=-7 , 5x-3y+9z=1 , 8y-2z=-6	$2 x - 4 y + 8 z = - 7$ , $5 x - 3 y + 9 z = 1$ , $8 y - 2 z = - 6$
5320	Solve Using an Augmented Matrix	2x-4y=3 , 4x-8y=3	$2 x - 4 y = 3$ , $4 x - 8 y = 3$
5321	Solve Using an Augmented Matrix	2x-4y=4 , 3x-2y=4	$2 x - 4 y = 4$ , $3 x - 2 y = 4$
5322	Solve Using an Augmented Matrix	2x-5x=-3 , -6x+15x=9	$2 x - 5 x = - 3$ , $- 6 x + 15 x = 9$
5323	Solve Using an Augmented Matrix	2x-5y+2=0 , x+4y-6z=-13 , 3x-4y-2z=-7	$2 x - 5 y + 2 = 0$ , $x + 4 y - 6 z = - 13$ , $3 x - 4 y - 2 z = - 7$
5324	Solve Using an Augmented Matrix	2x-5y+3z=9 , 2x+4y-z=13 , 6x-6y+5z=31	$2 x - 5 y + 3 z = 9$ , $2 x + 4 y - z = 13$ , $6 x - 6 y + 5 z = 31$
5325	Solve Using an Augmented Matrix	2x-5y=10 , 6x-15y=30	$2 x - 5 y = 10$ , $6 x - 15 y = 30$
5326	Solve Using an Augmented Matrix	2x-5y=20 , 2x+2y=-1	$2 x - 5 y = 20$ , $2 x + 2 y = - 1$
5327	Solve Using an Augmented Matrix	-2x-6y=-2 , 2x-y=-5	$- 2 x - 6 y = - 2$ , $2 x - y = - 5$
5328	Solve Using an Augmented Matrix	2x-6y=7 , 5x+2y=10	$2 x - 6 y = 7$ , $5 x + 2 y = 10$
5329	Solve Using an Augmented Matrix	2x-9y+6z=-3 , 9x-2y+5z=4 , 3y-3z=-8	$2 x - 9 y + 6 z = - 3$ , $9 x - 2 y + 5 z = 4$ , $3 y - 3 z = - 8$
5330	Solve Using an Augmented Matrix	2x-y+5z=-7 , x+y-2x=-2 , x-y+4z=-4	$2 x - y + 5 z = - 7$ , $x + y - 2 x = - 2$ , $x - y + 4 z = - 4$
5331	Solve Using an Augmented Matrix	2x-y=6 , 4x-2y=0	$2 x - y = 6$ , $4 x - 2 y = 0$
5332	Solve Using an Augmented Matrix	2x-y-z=5 , 3x+2y+3z=5 , 3x-2y-z=9	$2 x - y - z = 5$ , $3 x + 2 y + 3 z = 5$ , $3 x - 2 y - z = 9$
5333	Solve Using an Augmented Matrix	30x+20y+20z=390 , 10x+20y+60z=210	$30 x + 20 y + 20 z = 390$ , $10 x + 20 y + 60 z = 210$
5334	Solve Using an Augmented Matrix	-30x-9y+18z=30 , 10x+3y-6z=-10	$- 30 x - 9 y + 18 z = 30$ , $10 x + 3 y - 6 z = - 10$
5335	Solve Using an Augmented Matrix	3a+9b-3c=12 , 3a+6b-2c=5 , 2a-2b=-10	$3 a + 9 b - 3 c = 12$ , $3 a + 6 b - 2 c = 5$ , $2 a - 2 b = - 10$
5336	Solve Using an Augmented Matrix	3m-4n=-14 , 3m+2n=-2	$3 m - 4 n = - 14$ , $3 m + 2 n = - 2$
5337	Solve Using an Augmented Matrix	3x1+9x2-21x3=15 , 2x1+x2-4x3=0 , x1+x2-3x*3=1	$3 x \cdot 1 + 9 x \cdot 2 - 21 x \cdot 3 = 15$ , $2 x \cdot 1 + x \cdot 2 - 4 x \cdot 3 = 0$ , $x \cdot 1 + x \cdot 2 - 3 x \cdot 3 = 1$
5338	Solve Using an Augmented Matrix	3x+10y=9 , 4x-10y=12	$3 x + 10 y = 9$ , $4 x - 10 y = 12$
5339	Solve Using an Augmented Matrix	3x+2y+4z=13 , 6x-2y-5z=-24 , -12x-2y+6z=16	$3 x + 2 y + 4 z = 13$ , $6 x - 2 y - 5 z = - 24$ , $- 12 x - 2 y + 6 z = 16$
5340	Solve Using an Augmented Matrix	x-3y=9 , 3x-y=7	$x - 3 y = 9$ , $3 x - y = 7$
5341	Solve Using an Augmented Matrix	x-3y-3z=4 , 2x+y+z=1 , 3x-2y-2z=6	$x - 3 y - 3 z = 4$ , $2 x + y + z = 1$ , $3 x - 2 y - 2 z = 6$
5342	Solve Using an Augmented Matrix	x-3z=-2 , 2x+2y+z=4 , 3x+y-2z=5	$x - 3 z = - 2$ , $2 x + 2 y + z = 4$ , $3 x + y - 2 z = 5$
5343	Solve Using an Augmented Matrix	x-5y+2z=4 , 4x+4z=1 , x+4y+z=1	$x - 5 y + 2 z = 4$ , $4 x + 4 z = 1$ , $x + 4 y + z = 1$
5344	Solve Using an Augmented Matrix	-x-5y=14 , 4x+20y=-56	$- x - 5 y = 14$ , $4 x + 20 y = - 56$
5345	Solve Using an Augmented Matrix	-x-6y=12 , 4x+24y=-48	$- x - 6 y = 12$ , $4 x + 24 y = - 48$
5346	Solve Using an Augmented Matrix	-x-7y=13 , 4x+28y=-52	$- x - 7 y = 13$ , $4 x + 28 y = - 52$
5347	Solve Using an Augmented Matrix	x-y+12z=8 , y-14z=-13 , z=2	$x - y + 12 z = 8$ , $y - 14 z = - 13$ , $z = 2$
5348	Solve Using an Augmented Matrix	x-y+4z=-13 , 3x+z=-2 , x+3y+z=13	$x - y + 4 z = - 13$ , $3 x + z = - 2$ , $x + 3 y + z = 13$
5349	Solve Using an Augmented Matrix	x-y+z=6 , x+y+z=-4 , x+y-z=-14	$x - y + z = 6$ , $x + y + z = - 4$ , $x + y - z = - 14$
5350	Solve Using an Augmented Matrix	x-y+z=9 , 6x+3y-32=0	$x - y + z = 9$ , $6 x + 3 y - 32 = 0$
5351	Solve Using an Augmented Matrix	x-y=9 , x+y=1	$x - y = 9$ , $x + y = 1$
5352	Solve Using an Augmented Matrix	x-z=0 , x+y+z=120 , 75x+45y+57z=7200	$x - z = 0$ , $x + y + z = 120$ , $75 x + 45 y + 57 z = 7200$
5353	Solve Using an Augmented Matrix	y=3x-2 , y=-x+2	$y = 3 x - 2$ , $y = - x + 2$
5354	Solve Using an Augmented Matrix	y-3x=10 , 2y+2x=-4	$y - 3 x = 10$ , $2 y + 2 x = - 4$
5355	Solve Using an Augmented Matrix	z=3x+9y , x-y=-10 , 3x+2y=30	$z = 3 x + 9 y$ , $x - y = - 10$ , $3 x + 2 y = 30$
5356	Solve Using an Augmented Matrix	z=7x+11y , 0.5x+0.25y=117 , 0.5x+0.75y=207	$z = 7 x + 11 y$ , $0.5 x + 0.25 y = 117$ , $0.5 x + 0.75 y = 207$
5357	Find c(r(x))	c(x)=900+25x , r(x)=100x-x^2	$c (x) = 900 + 25 x$ , $r (x) = 100 x - x^{2}$
5358	Find D(S(p))	D(p)=2024-50p , S(p)=180p-506	$D (p) = 2024 - 50 p$ , $S (p) = 180 p - 506$
5359	Find f(F(x))	f(x)=21x^2 , F(x)=ax^3	$f (x) = 21 x^{2}$ , $F (x) = a x^{3}$
5360	Find f(g(x))	f(x)=-(-2)+5 , g(x)=2(-2)-1	$f (x) = - (- 2) + 5$ , $g (x) = 2 (- 2) - 1$
5361	Find f(g(x))	f(x)=\|x-1\| , g(x)=1/x	$f (x) = \| x - 1 \|$ , $g (x) = \frac{1}{x}$
5362	Find f(g(x))	f(x)=13/5x+33 , g(x)=5/13*(x-33)	$f (x) = \frac{13}{5} x + 33$ , $g (x) = \frac{5}{13} \cdot (x - 33)$
5363	Find f(g(x))	f(x)=3/2x+6 , g(x)=2/3x-6	$f (x) = \frac{3}{2} x + 6$ , $g (x) = \frac{2}{3} x - 6$
5364	Find f(g(x))	f(x)=x/(x+1) , g(x)=18/x	$f (x) = \frac{x}{x + 1}$ , $g (x) = \frac{18}{x}$
5365	Find f(g(x))	f(x)=x/(x-8) , g(x)=-4/(x+1)	$f (x) = \frac{x}{x - 8}$ , $g (x) = \frac{- 4}{x + 1}$
5366	Find f(g(x))	f(x)=x^2 , g(x)=6x-2	$f (x) = x^{2}$ , $g (x) = 6 x - 2$
5367	Find f(g(x))	f(x)=-x^2-4x-3 , g(x)=-3x	$f (x) = - x^{2} - 4 x - 3$ , $g (x) = - 3 x$
5368	Find f(g(x))	f(x)=x^2-7 , g(x) = square root of x+7	$f (x) = x^{2} - 7$ , $g (x) = \sqrt{x + 7}$
5369	Find f(g(x))	f(x)=1-x , g(x)=2x^2+x+5	$f (x) = 1 - x$ , $g (x) = 2 x^{2} + x + 5$
5370	Solve Using an Augmented Matrix	x+y=1 , x-y=0 , 2x+y=3/2	$x + y = 1$ , $x - y = 0$ , $2 x + y = \frac{3}{2}$
5371	Solve Using an Augmented Matrix	x+y=10 , 3+2y=24	$x + y = 10$ , $3 + 2 y = 24$
5372	Solve Using an Augmented Matrix	x+y=103 , 20x+10y=1500 , x=45 , y=32	$x + y = 103$ , $20 x + 10 y = 1500$ , $x = 45$ , $y = 32$
5373	Solve Using an Augmented Matrix	x+y=11 , 4x+y=38	$x + y = 11$ , $4 x + y = 38$
5374	Solve Using an Augmented Matrix	x+y=13 , 4x-y=27	$x + y = 13$ , $4 x - y = 27$
5375	Solve Using an Augmented Matrix	x+y=3 , 2y=10 , 3x+2y-4z=12	$x + y = 3$ , $2 y = 10$ , $3 x + 2 y - 4 z = 12$
5376	Solve Using an Augmented Matrix	x+y=4 , x-y=1	$x + y = 4$ , $x - y = 1$
5377	Solve Using an Augmented Matrix	x+y=4 , x-y=2	$x + y = 4$ , $x - y = 2$
5378	Solve Using an Augmented Matrix	x+y=5 , x+y=5	$x + y = 5$ , $x + y = 5$
5379	Solve Using an Augmented Matrix	x+y=7 , 3x+2y=17	$x + y = 7$ , $3 x + 2 y = 17$
5380	Solve Using an Augmented Matrix	x+y=7 , 3x-y=9	$x + y = 7$ , $3 x - y = 9$
5381	Solve Using an Augmented Matrix	x+y=7 , 4x+3y=24	$x + y = 7$ , $4 x + 3 y = 24$
5382	Solve Using an Augmented Matrix	x+y=8 , 4x+3y=27	$x + y = 8$ , $4 x + 3 y = 27$
5383	Solve Using an Augmented Matrix	x+y=9 , 3x+2y=22	$x + y = 9$ , $3 x + 2 y = 22$
5384	Solve Using an Augmented Matrix	x+y-z=1 , 2x-y+7z=-1 , -x+y-5z=1	$x + y - z = 1$ , $2 x - y + 7 z = - 1$ , $- x + y - 5 z = 1$
5385	Solve Using an Augmented Matrix	x+y-z=1 , 3x-y+z=-9 , x-2y+3z=4	$x + y - z = 1$ , $3 x - y + z = - 9$ , $x - 2 y + 3 z = 4$
5386	Solve Using an Augmented Matrix	x+y-z=1 , x+3z=-5 , 3y-z=5	$x + y - z = 1$ , $x + 3 z = - 5$ , $3 y - z = 5$
5387	Solve Using an Augmented Matrix	x=z+8 , y=90-2z	$x = z + 8$ , $y = 90 - 2 z$
5388	Solve Using an Augmented Matrix	x-2y+3z=-3 , 7x-7y+6z=3 , y-z=-9	$x - 2 y + 3 z = - 3$ , $7 x - 7 y + 6 z = 3$ , $y - z = - 9$
5389	Solve Using an Augmented Matrix	x-2y+3z=9 , y-z+w=-9 , -3x+3y-3z+4w=5 , 2y-3z+w=-9	$x - 2 y + 3 z = 9$ , $y - z + w = - 9$ , $- 3 x + 3 y - 3 z + 4 w = 5$ , $2 y - 3 z + w = - 9$
5390	Solve Using an Augmented Matrix	-x-2y+4z=-7 , 3x+3y-9z=12 , -x-y+3z=-4	$- x - 2 y + 4 z = - 7$ , $3 x + 3 y - 9 z = 12$ , $- x - y + 3 z = - 4$
5391	Solve Using an Augmented Matrix	x+2y+4z=2 , 2x+3y+7z=3 , 3x-y+5z=1	$x + 2 y + 4 z = 2$ , $2 x + 3 y + 7 z = 3$ , $3 x - y + 5 z = 1$
5392	Solve Using an Augmented Matrix	x+2y+5z=15 , 2x-3y+3z=2	$x + 2 y + 5 z = 15$ , $2 x - 3 y + 3 z = 2$
5393	Solve Using an Augmented Matrix	x+2y+z=-3 , -2x-3y-z=1 , 2x+4y+2z=-6	$x + 2 y + z = - 3$ , $- 2 x - 3 y - z = 1$ , $2 x + 4 y + 2 z = - 6$
5394	Solve Using an Augmented Matrix	x+2y+z=8 , 2x-y-3z=-9 , 5x+2y-z=6	$x + 2 y + z = 8$ , $2 x - y - 3 z = - 9$ , $5 x + 2 y - z = 6$
5395	Solve Using an Augmented Matrix	x+2y=-4 , x-3y=6	$x + 2 y = - 4$ , $x - 3 y = 6$
5396	Solve Using an Augmented Matrix	x+2y=4 , 2x-3y=-13 , x-4y=-14	$x + 2 y = 4$ , $2 x - 3 y = - 13$ , $x - 4 y = - 14$
5397	Solve Using an Augmented Matrix	x+2y=5 , 2x+y=-2	$x + 2 y = 5$ , $2 x + y = - 2$
5398	Solve Using an Augmented Matrix	x+2y=-6 , -5x+3y=4	$x + 2 y = - 6$ , $- 5 x + 3 y = 4$
5399	Solve Using an Augmented Matrix	x+2y=8 , 2x+6y=9	$x + 2 y = 8$ , $2 x + 6 y = 9$
5400	Solve Using an Augmented Matrix	x+2y=9 , 3x-4y=7	$x + 2 y = 9$ , $3 x - 4 y = 7$