Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
27301	Solve Using a Matrix with Cramer's Rule	x+y-z=2 , x-2y+z=5	$x + y - z = 2$ , $x - 2 y + z = 5$
27302	Solve Using a Matrix with Cramer's Rule	x+y-z=-2 , -x-3y-5z=8 , -5x+2y+2z=13	$x + y - z = - 2$ , $- x - 3 y - 5 z = 8$ , $- 5 x + 2 y + 2 z = 13$
27303	Solve Using a Matrix with Cramer's Rule	x+y-z=3 , 2x-y+3x=-16 , x+y-4z=9	$x + y - z = 3$ , $2 x - y + 3 x = - 16$ , $x + y - 4 z = 9$
27304	Solve Using a Matrix with Cramer's Rule	x+y-z=-4 , 3x-y+z=-12 , x+5y-3z=0	$x + y - z = - 4$ , $3 x - y + z = - 12$ , $x + 5 y - 3 z = 0$
27305	Solve Using a Matrix with Cramer's Rule	x+y-z=5 , 3x-y+z=9 , x-2y+4z=53	$x + y - z = 5$ , $3 x - y + z = 9$ , $x - 2 y + 4 z = 53$
27306	Solve Using a Matrix with Cramer's Rule	x+y-z=6 , 2x-y+4z=-18 , x+5y-z=14	$x + y - z = 6$ , $2 x - y + 4 z = - 18$ , $x + 5 y - z = 14$
27307	Solve Using a Matrix with Cramer's Rule	x+y-z=6 , 3x-2y+z=-5 , x+3y-2z=14	$x + y - z = 6$ , $3 x - 2 y + z = - 5$ , $x + 3 y - 2 z = 14$
27308	Solve Using a Matrix with Cramer's Rule	x+y-z=6 , 3x-2y=-5 , x+3y-22=14	$x + y - z = 6$ , $3 x - 2 y = - 5$ , $x + 3 y - 22 = 14$
27309	Solve Using a Matrix with Cramer's Rule	x+y-z=-7 , 5x-y+4z=-11 , x+3y-z=-15	$x + y - z = - 7$ , $5 x - y + 4 z = - 11$ , $x + 3 y - z = - 15$
27310	Solve Using a Matrix with Cramer's Rule	x+y-z=7 , x-y+2z=0 , x+3y-2z=8	$x + y - z = 7$ , $x - y + 2 z = 0$ , $x + 3 y - 2 z = 8$
27311	Solve Using a Matrix with Cramer's Rule	x=2y+6 , 3x-6y=18	$x = 2 y + 6$ , $3 x - 6 y = 18$
27312	Solve Using a Matrix with Cramer's Rule	x=3t , y=3-t , t=5	$x = 3 t$ , $y = 3 - t$ , $t = 5$
27313	Solve Using a Matrix with Cramer's Rule	x=8y+4 , 2x-16y=8	$x = 8 y + 4$ , $2 x - 16 y = 8$
27314	Solve Using a Matrix with Cramer's Rule	x=-y+1 , z=2x , y=-2z-2	$x = - y + 1$ , $z = 2 x$ , $y = - 2 z - 2$
27315	Solve Using a Matrix with Cramer's Rule	x+y+z=0 , 6x-y+z=11 , -x+4y-z=-40	$x + y + z = 0$ , $6 x - y + z = 11$ , $- x + 4 y - z = - 40$
27316	Solve Using a Matrix with Cramer's Rule	x+y+z=0 , 7x-y+z=0 , -x+5y-z=-54	$x + y + z = 0$ , $7 x - y + z = 0$ , $- x + 5 y - z = - 54$
27317	Solve Using a Matrix with Cramer's Rule	-x+y+z=-1 , -x+3y-9z=-13 , 6x-5y-11z=0	$- x + y + z = - 1$ , $- x + 3 y - 9 z = - 13$ , $6 x - 5 y - 11 z = 0$
27318	Solve Using a Matrix with Cramer's Rule	-x+y+z=-1 , -x+4y-5z=-19 , 6x-5y-8z=0	$- x + y + z = - 1$ , $- x + 4 y - 5 z = - 19$ , $6 x - 5 y - 8 z = 0$
27319	Solve Using a Matrix with Cramer's Rule	x+y+z=10 , x-y+z=4 , 2x+z=13	$x + y + z = 10$ , $x - y + z = 4$ , $2 x + z = 13$
27320	Solve Using a Matrix with Cramer's Rule	x+y+z=12 , 6x-2y-z=16 , 3x+4y+2z=28	$x + y + z = 12$ , $6 x - 2 y - z = 16$ , $3 x + 4 y + 2 z = 28$
27321	Solve Using a Matrix with Cramer's Rule	x+y+z=12 , x-y+z=6 , 2x+y+z=15	$x + y + z = 12$ , $x - y + z = 6$ , $2 x + y + z = 15$
27322	Solve Using a Matrix with Cramer's Rule	x+y+z=-17 , y-3z=0	$x + y + z = - 17$ , $y - 3 z = 0$
27323	Solve Using a Matrix with Cramer's Rule	x+y+z=2 , 2x+3y-4z=0 , 3x+z=-2	$x + y + z = 2$ , $2 x + 3 y - 4 z = 0$ , $3 x + z = - 2$
27324	Solve Using a Matrix with Cramer's Rule	x+y+z=2 , 3x-y+z=-6 , x-2y+4z=21	$x + y + z = 2$ , $3 x - y + z = - 6$ , $x - 2 y + 4 z = 21$
27325	Solve Using a Matrix with Cramer's Rule	x+y+z=268 , y=3(x+b) , 5x+10y+25z=2665	$x + y + z = 268$ , $y = 3 (x + b)$ , $5 x + 10 y + 25 z = 2665$
27326	Solve Using a Matrix with Cramer's Rule	x+y+z=4 , 2x-y+3z=4 , 4x+2y-z=-15	$x + y + z = 4$ , $2 x - y + 3 z = 4$ , $4 x + 2 y - z = - 15$
27327	Solve Using a Matrix with Cramer's Rule	x+y+z=4 , x-y-z=2 , x-y+z=6	$x + y + z = 4$ , $x - y - z = 2$ , $x - y + z = 6$
27328	Solve Using a Matrix with Cramer's Rule	x+y+z=48000 , 30x+20y+10z=920000 , y=1/2x	$x + y + z = 48000$ , $30 x + 20 y + 10 z = 920000$ , $y = \frac{1}{2} x$
27329	Solve Using a Matrix with Cramer's Rule	x+y+z=-5 , 2x-3y+6z=32 , -4x+5y+10z=8	$x + y + z = - 5$ , $2 x - 3 y + 6 z = 32$ , $- 4 x + 5 y + 10 z = 8$
27330	Solve Using a Matrix with Cramer's Rule	x+y+z=5 , x-y-z=-11 , x-y+z=-3	$x + y + z = 5$ , $x - y - z = - 11$ , $x - y + z = - 3$
27331	Solve Using a Matrix with Cramer's Rule	x+y+z=6 , y+3z=11 , x-2y+z=0	$x + y + z = 6$ , $y + 3 z = 11$ , $x - 2 y + z = 0$
27332	Solve Using a Matrix with Cramer's Rule	x+y+z=8 , x-y+z=-2 , 2x+0+2=9	$x + y + z = 8$ , $x - y + z = - 2$ , $2 x + 0 + 2 = 9$
27333	Solve Using a Matrix with Cramer's Rule	x+y+z-w=6 , 2x-y+3z+4w=-4 , 4x+2y-z-w=-13 , -x-2y+4z+3w=12	$x + y + z - w = 6$ , $2 x - y + 3 z + 4 w = - 4$ , $4 x + 2 y - z - w = - 13$ , $- x - 2 y + 4 z + 3 w = 12$
27334	Solve Using a Matrix with Cramer's Rule	x+y=12 , x-y=10	$x + y = 12$ , $x - y = 10$
27335	Solve Using a Matrix with Cramer's Rule	x+y=-2 , 2x-y+z=11 , 4y-3z=-20	$x + y = - 2$ , $2 x - y + z = 11$ , $4 y - 3 z = - 20$
27336	Solve Using a Matrix with Cramer's Rule	x+y=2 , x-y=0	$x + y = 2$ , $x - y = 0$
27337	Solve Using a Matrix with Cramer's Rule	x+y=2 , x-y-z=3 , x+y+z=5	$x + y = 2$ , $x - y - z = 3$ , $x + y + z = 5$
27338	Solve Using a Matrix with Cramer's Rule	x+3y=5 , x+4y=6	$x + 3 y = 5$ , $x + 4 y = 6$
27339	Solve Using a Matrix with Cramer's Rule	x+3y=6 , -x-3y+6=0	$x + 3 y = 6$ , $- x - 3 y + 6 = 0$
27340	Solve Using a Matrix with Cramer's Rule	x+3y=z+18 , x=2+y-z , x+y+9z=28	$x + 3 y = z + 18$ , $x = 2 + y - z$ , $x + y + 9 z = 28$
27341	Solve Using a Matrix with Cramer's Rule	x+3y-2z-w=6 , 4x+y+4z+5w=4 , -3x-y+z-5w=-19 , x-y-3z-3w=-1	$x + 3 y - 2 z - w = 6$ , $4 x + y + 4 z + 5 w = 4$ , $- 3 x - y + z - 5 w = - 19$ , $x - y - 3 z - 3 w = - 1$
27342	Solve Using a Matrix with Cramer's Rule	x+3y-z=0 , 3x+4y-2z=-2 , -x+2y=2	$x + 3 y - z = 0$ , $3 x + 4 y - 2 z = - 2$ , $- x + 2 y = 2$
27343	Solve Using a Matrix with Cramer's Rule	x+3y-z=0 , 4x-6y+z=-1 , -4x+3y-3z=-2	$x + 3 y - z = 0$ , $4 x - 6 y + z = - 1$ , $- 4 x + 3 y - 3 z = - 2$
27344	Solve Using a Matrix with Cramer's Rule	x+3y-z=1 , 2x-6y+z=7 , -2x+3y-4z=-2	$x + 3 y - z = 1$ , $2 x - 6 y + z = 7$ , $- 2 x + 3 y - 4 z = - 2$
27345	Solve Using a Matrix with Cramer's Rule	x+3y-z=-2 , x-6y+z=-5 , -4x+3y-2z=21	$x + 3 y - z = - 2$ , $x - 6 y + z = - 5$ , $- 4 x + 3 y - 2 z = 21$
27346	Solve Using a Matrix with Cramer's Rule	x+4y-z=0 , 4x-4y+z=0 , -2x+4y-4z=0	$x + 4 y - z = 0$ , $4 x - 4 y + z = 0$ , $- 2 x + 4 y - 4 z = 0$
27347	Solve Using a Matrix with Cramer's Rule	x+4y-z=0 , x-4y+z=6 , -2x+4y-2z=-9	$x + 4 y - z = 0$ , $x - 4 y + z = 6$ , $- 2 x + 4 y - 2 z = - 9$
27348	Solve Using a Matrix with Cramer's Rule	x+4y-z=10 , 3x+2y+z=4 , 2x-3y+2z=-7	$x + 4 y - z = 10$ , $3 x + 2 y + z = 4$ , $2 x - 3 y + 2 z = - 7$
27349	Solve Using a Matrix with Cramer's Rule	x+4y-z=-2 , 4x-6y+z=-9 , -4x+26y-5z=-11	$x + 4 y - z = - 2$ , $4 x - 6 y + z = - 9$ , $- 4 x + 26 y - 5 z = - 11$
27350	Solve Using a Matrix with Cramer's Rule	x+4y-z=3 , 4x-4y+z=-3 , -2x+4y-2z=3	$x + 4 y - z = 3$ , $4 x - 4 y + z = - 3$ , $- 2 x + 4 y - 2 z = 3$
27351	Solve Using a Matrix with Cramer's Rule	x+4y-z=7 , 4x-4y+z=13 , -4x+4y-4z=-13	$x + 4 y - z = 7$ , $4 x - 4 y + z = 13$ , $- 4 x + 4 y - 4 z = - 13$
27352	Solve Using a Matrix with Cramer's Rule	x+4y-z=-7 , 4x-4y+z=2 , -4x+4y-5z=-14	$x + 4 y - z = - 7$ , $4 x - 4 y + z = 2$ , $- 4 x + 4 y - 5 z = - 14$
27353	Solve Using a Matrix with Cramer's Rule	x+4z=2 , 4x-2y+z=4 , 2x-2y-7z=0	$x + 4 z = 2$ , $4 x - 2 y + z = 4$ , $2 x - 2 y - 7 z = 0$
27354	Solve Using a Matrix with Cramer's Rule	-x+5y+2z=1 , x+2y=10 , -x+5y-3z=26	$- x + 5 y + 2 z = 1$ , $x + 2 y = 10$ , $- x + 5 y - 3 z = 26$
27355	Solve Using a Matrix with Cramer's Rule	-x+5y+z=3 , -4x-3y+z=5 , -3x-3y+z=-2	$- x + 5 y + z = 3$ , $- 4 x - 3 y + z = 5$ , $- 3 x - 3 y + z = - 2$
27356	Solve Using a Matrix with Cramer's Rule	x+5y-z=0 , 4x-5y+z=0 , -2x+5y-3z=0	$x + 5 y - z = 0$ , $4 x - 5 y + z = 0$ , $- 2 x + 5 y - 3 z = 0$
27357	Solve Using a Matrix with Cramer's Rule	x+5y-z=-3 , 4x-5y+z=-7 , -4x+5y-4z=-2	$x + 5 y - z = - 3$ , $4 x - 5 y + z = - 7$ , $- 4 x + 5 y - 4 z = - 2$
27358	Solve Using a Matrix with Cramer's Rule	x+6y=10 , 4x+5y=2	$x + 6 y = 10$ , $4 x + 5 y = 2$
27359	Solve Using a Matrix with Cramer's Rule	-x+7y=9 , 2x-y+5z=0 , 5x+4y+3z=-9	$- x + 7 y = 9$ , $2 x - y + 5 z = 0$ , $5 x + 4 y + 3 z = - 9$
27360	Solve Using a Matrix with Cramer's Rule	x+y+0.2=25.2 , 0.4x+0.3y=43.5	$x + y + 0.2 = 25.2$ , $0.4 x + 0.3 y = 43.5$
27361	Solve Using a Matrix with Cramer's Rule	x+y+2z=-1 , 2x+y+z=3 , 3x+2y+3z=2	$x + y + 2 z = - 1$ , $2 x + y + z = 3$ , $3 x + 2 y + 3 z = 2$
27362	Solve Using a Matrix with Cramer's Rule	x+y+5z=7 , 3x+2y+14z=5 , x+4z=-9	$x + y + 5 z = 7$ , $3 x + 2 y + 14 z = 5$ , $x + 4 z = - 9$
27363	Solve Using a Matrix with Cramer's Rule	x+y+z+w=0 , 9x-y+9z-w=0 , 3x+4y-z+4w=-4 , x-2y+3z-w=0	$x + y + z + w = 0$ , $9 x - y + 9 z - w = 0$ , $3 x + 4 y - z + 4 w = - 4$ , $x - 2 y + 3 z - w = 0$
27364	Solve Using a Matrix with Cramer's Rule	x+y+z+w=6 , 2x-y+z=1 , 3x+2y+z-w=6 , z-2y-2z+2w=-1	$x + y + z + w = 6$ , $2 x - y + z = 1$ , $3 x + 2 y + z - w = 6$ , $z - 2 y - 2 z + 2 w = - 1$
27365	Solve Using a Matrix with Cramer's Rule	a*1=300 , d=20	$a \cdot 1 = 300$ , $d = 20$
27366	Solve Using a Matrix with Cramer's Rule	a+b+c=-1 , 4a+2b+c=-2 , 9a+3b+c=-7	$a + b + c = - 1$ , $4 a + 2 b + c = - 2$ , $9 a + 3 b + c = - 7$
27367	Solve Using a Matrix with Cramer's Rule	a=2 , r=5p	$a = 2$ , $r = 5 p$
27368	Solve Using a Matrix with Cramer's Rule	a=38 , b=52 , c=81	$a = 38$ , $b = 52$ , $c = 81$
27369	Solve Using a Matrix with Cramer's Rule	a=6 , r=2/3	$a = 6$ , $r = \frac{2}{3}$
27370	Solve Using a Matrix with Cramer's Rule	a-2b+c=-1 , 2a+3b-2c=-3 , a+3b-2c=-2	$a - 2 b + c = - 1$ , $2 a + 3 b - 2 c = - 3$ , $a + 3 b - 2 c = - 2$
27371	Solve Using a Matrix with Cramer's Rule	f(10)=25000 , f(25)=10000	$f (10) = 25000$ , $f (25) = 10000$
27372	Solve Using a Matrix with Cramer's Rule	b=a+d , 5-5a-3b=0 , 10-3b-8d=0	$b = a + d$ , $5 - 5 a - 3 b = 0$ , $10 - 3 b - 8 d = 0$
27373	Solve Using a Matrix with Cramer's Rule	pi=6 , x=pi/3	$π = 6$ , $x = \frac{π}{3}$
27374	Solve Using a Matrix with Cramer's Rule	r+2/3s=4 , r-s=3	$r + \frac{2}{3} s = 4$ , $r - s = 3$
27375	Solve Using a Matrix with Cramer's Rule	r+5s=10 , 2r-3s=7	$r + 5 s = 10$ , $2 r - 3 s = 7$
27376	Solve Using a Matrix with Cramer's Rule	u=3i , v=8i+7j	$u = 3 i$ , $v = 8 i + 7 j$
27377	Solve Using a Matrix with Cramer's Rule	v=3i-2j , w=2i-3j	$v = 3 i - 2 j$ , $w = 2 i - 3 j$
27378	Solve Using a Matrix with Cramer's Rule	v=-5i+6j , w=-2i-3j	$v = - 5 i + 6 j$ , $w = - 2 i - 3 j$
27379	Solve Using a Matrix with Cramer's Rule	v=-5i+7j , w=-6i-4j	$v = - 5 i + 7 j$ , $w = - 6 i - 4 j$
27380	Solve Using a Matrix with Cramer's Rule	w+x+y+z=2 , 3w+3x-3y-3z=-12 , 2w-3x+3y+z=13 , w-x+5y+2z=12	$w + x + y + z = 2$ , $3 w + 3 x - 3 y - 3 z = - 12$ , $2 w - 3 x + 3 y + z = 13$ , $w - x + 5 y + 2 z = 12$
27381	Solve Using a Matrix with Cramer's Rule	a+3b+2d+4h-4j=-2 , -g+2h-3j=9 , a+3b-8h-6j=-2	$a + 3 b + 2 d + 4 h - 4 j = - 2$ , $- g + 2 h - 3 j = 9$ , $a + 3 b - 8 h - 6 j = - 2$
27382	Solve Using a Matrix with Cramer's Rule	x+13=y+5 , z+14=x+10 , y+25=z+27	$x + 13 = y + 5$ , $z + 14 = x + 10$ , $y + 25 = z + 27$
27383	Solve Using a Matrix with Cramer's Rule	x+2y+2z=5 , 2x+4y+7z=19 , -2x-5y-2z=8	$x + 2 y + 2 z = 5$ , $2 x + 4 y + 7 z = 19$ , $- 2 x - 5 y - 2 z = 8$
27384	Solve Using a Matrix with Cramer's Rule	-x+2y+5z=9 , x-2z=0 , 4x-2y-11z=4	$- x + 2 y + 5 z = 9$ , $x - 2 z = 0$ , $4 x - 2 y - 11 z = 4$
27385	Solve Using a Matrix with Cramer's Rule	x+2y+6z=1 , 2x+5y+15z=4 , 3x+y+3z=-6	$x + 2 y + 6 z = 1$ , $2 x + 5 y + 15 z = 4$ , $3 x + y + 3 z = - 6$
27386	Solve Using a Matrix with Cramer's Rule	x+2y=-1 , -7x+4y=-47	$x + 2 y = - 1$ , $- 7 x + 4 y = - 47$
27387	Solve Using a Matrix with Cramer's Rule	x+2y-2z=1 , 2x+2y-z=6 , 3x+4y-3z=5	$x + 2 y - 2 z = 1$ , $2 x + 2 y - z = 6$ , $3 x + 4 y - 3 z = 5$
27388	Solve Using a Matrix with Cramer's Rule	x+2y-2z=-27 , 4y+2z=0 , -x+y-z=-6	$x + 2 y - 2 z = - 27$ , $4 y + 2 z = 0$ , $- x + y - z = - 6$
27389	Solve Using a Matrix with Cramer's Rule	x+2y-3z=-4 , 3x-y+4z=8 , 4x-3y+5z=12	$x + 2 y - 3 z = - 4$ , $3 x - y + 4 z = 8$ , $4 x - 3 y + 5 z = 12$
27390	Solve Using a Matrix with Cramer's Rule	x+2y-3z=4 , 3x-y+4z=8 , 4x-3y+5z=12	$x + 2 y - 3 z = 4$ , $3 x - y + 4 z = 8$ , $4 x - 3 y + 5 z = 12$
27391	Solve Using a Matrix with Cramer's Rule	x+2y-3z=9 , 2x-y+2z=-8 , -x+3y-4z=15	$x + 2 y - 3 z = 9$ , $2 x - y + 2 z = - 8$ , $- x + 3 y - 4 z = 15$
27392	Solve Using a Matrix with Cramer's Rule	x+2y-7z=-4 , 2x+y+z=13 , 3x+9y-36=-33	$x + 2 y - 7 z = - 4$ , $2 x + y + z = 13$ , $3 x + 9 y - 36 = - 33$
27393	Solve Using a Matrix with Cramer's Rule	x+2y-z=0 , 3x-4y+z=0 , -2x+2y-5z=0	$x + 2 y - z = 0$ , $3 x - 4 y + z = 0$ , $- 2 x + 2 y - 5 z = 0$
27394	Solve Using a Matrix with Cramer's Rule	x+2y-z=0 , 3x-4y+z=0 , -3x+2y-3z=0	$x + 2 y - z = 0$ , $3 x - 4 y + z = 0$ , $- 3 x + 2 y - 3 z = 0$
27395	Solve Using a Matrix with Cramer's Rule	x+2y-z=0 , 4x-4y+z=0 , -4x+2y-4z=0	$x + 2 y - z = 0$ , $4 x - 4 y + z = 0$ , $- 4 x + 2 y - 4 z = 0$
27396	Solve Using a Matrix with Cramer's Rule	x+2y-z=0 , x-4y+z=0 , -3x+2y-5z=0	$x + 2 y - z = 0$ , $x - 4 y + z = 0$ , $- 3 x + 2 y - 5 z = 0$
27397	Solve Using a Matrix with Cramer's Rule	x+2y-z=-3 , 2x-6y+z=-5 , -2x+18y-5z=3	$x + 2 y - z = - 3$ , $2 x - 6 y + z = - 5$ , $- 2 x + 18 y - 5 z = 3$
27398	Solve Using a Matrix with Cramer's Rule	x+2y-z=-4 , 3x-4y+z=-9 , -3x+2y-3z=4	$x + 2 y - z = - 4$ , $3 x - 4 y + z = - 9$ , $- 3 x + 2 y - 3 z = 4$
27399	Solve Using a Matrix with Cramer's Rule	x+2y-z=-4 , x+y-2z=-6 , 2x+3y+z=3	$x + 2 y - z = - 4$ , $x + y - 2 z = - 6$ , $2 x + 3 y + z = 3$
27400	Solve Using a Matrix with Cramer's Rule	4x-3y+z=18 , x+y=7	$4 x - 3 y + z = 18$ , $x + y = 7$