Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1801	Write as a Vector Equality	-x+2y-3z=1 , 2x+z=0 , 3x-4y+4z=2	$- x + 2 y - 3 z = 1$ , $2 x + z = 0$ , $3 x - 4 y + 4 z = 2$
1802	Write as a Vector Equality	x+2y-3z=-4 , 2x+4y+3z=19 , 5x-6y+5z=24	$x + 2 y - 3 z = - 4$ , $2 x + 4 y + 3 z = 19$ , $5 x - 6 y + 5 z = 24$
1803	Write as a Vector Equality	x+2y-3z=5 , -y+4z=1 , 3x-4y+3x=-3	$x + 2 y - 3 z = 5$ , $- y + 4 z = 1$ , $3 x - 4 y + 3 x = - 3$
1804	Write as a Vector Equality	x+2y-4z=4 , -3x-6y+12z=-12	$x + 2 y - 4 z = 4$ , $- 3 x - 6 y + 12 z = - 12$
1805	Write as a Vector Equality	x+2y-z=0 , 2x-4y+z=0 , -2x+2y-3z=0	$x + 2 y - z = 0$ , $2 x - 4 y + z = 0$ , $- 2 x + 2 y - 3 z = 0$
1806	Write as a Vector Equality	x+2y-z=1 , 2x-y+z=3 , -x+2y+3z=7	$x + 2 y - z = 1$ , $2 x - y + z = 3$ , $- x + 2 y + 3 z = 7$
1807	Write as a Vector Equality	p-3q=4s , 2p=s+5r	$p - 3 q = 4 s$ , $2 p = s + 5 r$
1808	Write as a Vector Equality	q-p=1 , q+p=7	$q - p = 1$ , $q + p = 7$
1809	Write as a Vector Equality	r=6mi/hr , t=9hr	$r = 6 m p h$ , $t = 9 h$
1810	Write as a Vector Equality	r-9s=0 , 6r-3s=51	$r - 9 s = 0$ , $6 r - 3 s = 51$
1811	Write as a Vector Equality	(-0.6x-0.5y)=1.3 , (0.5x-0.5y)=-2	$(- 0.6 x - 0.5 y) = 1.3$ , $(0.5 x - 0.5 y) = - 2$
1812	Write as a Vector Equality	(1x+2y)=22 , (2x+3y)=39	$(1 x + 2 y) = 22$ , $(2 x + 3 y) = 39$
1813	Write as a Vector Equality	(2x+3y)=7 , (x+4y)=5	$(2 x + 3 y) = 7$ , $(x + 4 y) = 5$
1814	Write as a Vector Equality	(2x+y)=a+9 , (x-2y)=b-2	$(2 x + y) = a + 9$ , $(x - 2 y) = b - 2$
1815	Write as a Vector Equality	(2x+y)=(a+9) , (x-2y)=(b-2)	$(2 x + y) = (a + 9)$ , $(x - 2 y) = (b - 2)$
1816	Write as a Vector Equality	(2x-2y+z)=-15 , (6x-3y-z)=-19 , (3x-y-z)=-6	$(2 x - 2 y + z) = - 15$ , $(6 x - 3 y - z) = - 19$ , $(3 x - y - z) = - 6$
1817	Write as a Vector Equality	(2x-3y)=-18 , (x-y)=8	$(2 x - 3 y) = - 18$ , $(x - y) = 8$
1818	Write as a Vector Equality	(2x-3y)=9 , (4x+3y)=9	$(2 x - 3 y) = 9$ , $(4 x + 3 y) = 9$
1819	Write as a Vector Equality	(2x-3y+5z)=-9 , (4x-y-2z)=-48 , (-x-y+z)=7	$(2 x - 3 y + 5 z) = - 9$ , $(4 x - y - 2 z) = - 48$ , $(- x - y + z) = 7$
1820	Write as a Vector Equality	(3x-2y)=7 , (y)=2x-1	$(3 x - 2 y) = 7$ , $(y) = 2 x - 1$
1821	Write as a Vector Equality	(3x-y+z)=0 , (x-2y+5z)=0 , (-x+y-2z)=0	$(3 x - y + z) = 0$ , $(x - 2 y + 5 z) = 0$ , $(- x + y - 2 z) = 0$
1822	Write as a Vector Equality	(3y+9)=x , (9-x)=-3y	$(3 y + 9) = x$ , $(9 - x) = - 3 y$
1823	Write as a Vector Equality	(4-x)=y^2 , (x-2y)=4	$(4 - x) = y^{2}$ , $(x - 2 y) = 4$
1824	Write as a Vector Equality	(4x-y)=6 , (1/2y)=-3+2x	$(4 x - y) = 6$ , $(\frac{1}{2} y) = - 3 + 2 x$
1825	Write as a Vector Equality	(5x-2y)=1 , (10x-4y)=8	$(5 x - 2 y) = 1$ , $(10 x - 4 y) = 8$
1826	Write as a Vector Equality	(x)=(32)(1) , (y)=(43)(-1)	$(x) = (32) (1)$ , $(y) = (43) (- 1)$
1827	Write as a Vector Equality	(x+12y)=68 , (8y-12)=x	$(x + 12 y) = 68$ , $(8 y - 12) = x$
1828	Write as a Vector Equality	(x+y+6z)=4 , (x+y+3z)=4 , (x+2y+4z)=9	$(x + y + 6 z) = 4$ , $(x + y + 3 z) = 4$ , $(x + 2 y + 4 z) = 9$
1829	Write as a Vector Equality	(x+y+z)=2 , (2x+y-z)=-1 , (5-2z)=x	$(x + y + z) = 2$ , $(2 x + y - z) = - 1$ , $(5 - 2 z) = x$
1830	Write as a Vector Equality	-3x-6y+9z=-3 , x+2y-3z=1 , 2x+4y-6z=2	$- 3 x - 6 y + 9 z = - 3$ , $x + 2 y - 3 z = 1$ , $2 x + 4 y - 6 z = 2$
1831	Write as a Vector Equality	3x-x+2x=3 , -x+3x-2x=-1 , 2x+2x+3x=14	$3 x - x + 2 x = 3$ , $- x + 3 x - 2 x = - 1$ , $2 x + 2 x + 3 x = 14$
1832	Write as a Vector Equality	3x-y+2z=3 , 2x-4y-5z=8 , x+2y+3z=1	$3 x - y + 2 z = 3$ , $2 x - 4 y - 5 z = 8$ , $x + 2 y + 3 z = 1$
1833	Write as a Vector Equality	3x-y+z=-10 , -2x+4y+z=-20 , 6x+8y+z=-100	$3 x - y + z = - 10$ , $- 2 x + 4 y + z = - 20$ , $6 x + 8 y + z = - 100$
1834	Write as a Vector Equality	3x-y=0 , 3x+y=6	$3 x - y = 0$ , $3 x + y = 6$
1835	Write as a Vector Equality	3x-y=0 , 6x-y=9	$3 x - y = 0$ , $6 x - y = 9$
1836	Write as a Vector Equality	3x-y=-15 , x+2y-z=1 , 2x+3y-2z=0	$3 x - y = - 15$ , $x + 2 y - z = 1$ , $2 x + 3 y - 2 z = 0$
1837	Write as a Vector Equality	-3x-y=-6 , -3x+y=-6	$- 3 x - y = - 6$ , $- 3 x + y = - 6$
1838	Write as a Vector Equality	3x-y=6 , y=3	$3 x - y = 6$ , $y = 3$
1839	Write as a Vector Equality	3x-y=7 , 8x+2y=42	$3 x - y = 7$ , $8 x + 2 y = 42$
1840	Write as a Vector Equality	3x-y=9 , -6x+2y=-18	$3 x - y = 9$ , $- 6 x + 2 y = - 18$
1841	Write as a Vector Equality	3xy-2y^2=-2 , 9x^2+4y^2=10	$3 x y - 2 y^{2} = - 2$ , $9 x^{2} + 4 y^{2} = 10$
1842	Write as a Vector Equality	3y+2z+w=1 , 2x+2y-2z+4w=2	$3 y + 2 z + w = 1$ , $2 x + 2 y - 2 z + 4 w = 2$
1843	Write as a Vector Equality	4+y=3 , y=-3-x+2	$4 + y = 3$ , $y = - 3 - x + 2$
1844	Write as a Vector Equality	-4+y=4 , 4x-y=4	$- 4 + y = 4$ , $4 x - y = 4$
1845	Write as a Vector Equality	-4=-2-4-x , y=-4-x-2	$- 4 = - 2 - 4 - x$ , $y = - 4 - x - 2$
1846	Write as a Vector Equality	40x-30y=95 , 6+60y=-28	$40 x - 30 y = 95$ , $6 + 60 y = - 28$
1847	Write as a Vector Equality	41a-4b+5c+d=0 , 53a-2b+7c+d=0 , 25a+4b-3c+d=0	$41 a - 4 b + 5 c + d = 0$ , $53 a - 2 b + 7 c + d = 0$ , $25 a + 4 b - 3 c + d = 0$
1848	Write as a Vector Equality	45a-30b+2d=-1 , 18x+17b-13d=-18 , 9a-24b+42d=23	$45 a - 30 b + 2 d = - 1$ , $18 x + 17 b - 13 d = - 18$ , $9 a - 24 b + 42 d = 23$
1849	Write as a Vector Equality	4a+2=5y-3 , y=3a-1	$4 a + 2 = 5 y - 3$ , $y = 3 a - 1$
1850	Write as a Vector Equality	4s+3t=24 , 5s-9t=13	$4 s + 3 t = 24$ , $5 s - 9 t = 13$
1851	Write as a Vector Equality	4s+3t=-9 , 1/3s+2=t	$4 s + 3 t = - 9$ , $\frac{1}{3} s + 2 = t$
1852	Write as a Vector Equality	4sa+5b=5 , 8a+3sb=-2	$4 s a + 5 b = 5$ , $8 a + 3 s b = - 2$
1853	Write as a Vector Equality	4a+4b+8d=0 , -12a-12b-24d=0 , -6b+18d=0	$4 a + 4 b + 8 d = 0$ , $- 12 a - 12 b - 24 d = 0$ , $- 6 b + 18 d = 0$
1854	Write as a Vector Equality	4a+b-3d=8 , 10b+9d=0	$4 a + b - 3 d = 8$ , $10 b + 9 d = 0$
1855	Write as a Vector Equality	-4x+2y=-10 , y=2x-5	$- 4 x + 2 y = - 10$ , $y = 2 x - 5$
1856	Write as a Vector Equality	4x+2y=-6 , y=-2x-3	$4 x + 2 y = - 6$ , $y = - 2 x - 3$
1857	Write as a Vector Equality	4x+2y=6 , y=4-2x	$4 x + 2 y = 6$ , $y = 4 - 2 x$
1858	Write as a Vector Equality	4x+2y=9 , 7x+5y=-1	$4 x + 2 y = 9$ , $7 x + 5 y = - 1$
1859	Write as a Vector Equality	4x+3y=0 , 3x+y+3z=0 , y+z=0	$4 x + 3 y = 0$ , $3 x + y + 3 z = 0$ , $y + z = 0$
1860	Write as a Vector Equality	4x+3y=1 , 5x+9y=27	$4 x + 3 y = 1$ , $5 x + 9 y = 27$
1861	Write as a Vector Equality	4x+4=y , y=6x	$4 x + 4 = y$ , $y = 6 x$
1862	Write as a Vector Equality	4x+5y+3z=15 , x-3y+2y=-6 , -x+2y-z=3	$4 x + 5 y + 3 z = 15$ , $x - 3 y + 2 y = - 6$ , $- x + 2 y - z = 3$
1863	Write as a Vector Equality	4x+5y=13 , 2x-4y=-26	$4 x + 5 y = 13$ , $2 x - 4 y = - 26$
1864	Write as a Vector Equality	4x+5y=3 , 8x+10y=6	$4 x + 5 y = 3$ , $8 x + 10 y = 6$
1865	Write as a Vector Equality	4x+6y=17 , y=5-5x	$4 x + 6 y = 17$ , $y = 5 - 5 x$
1866	Write as a Vector Equality	4x+6y=24 , 5x+8y=40	$4 x + 6 y = 24$ , $5 x + 8 y = 40$
1867	Write as a Vector Equality	4x+7y=10 , x+1.75y=2.5	$4 x + 7 y = 10$ , $x + 1.75 y = 2.5$
1868	Write as a Vector Equality	4x+y=-12 , 2x+2y=-15	$4 x + y = - 12$ , $2 x + 2 y = - 15$
1869	Write as a Vector Equality	-4x=y-8 , 4x+y=8	$- 4 x = y - 8$ , $4 x + y = 8$
1870	Write as a Vector Equality	4x-2y+z=3 , 4x+5z=-4	$4 x - 2 y + z = 3$ , $4 x + 5 z = - 4$
1871	Write as a Vector Equality	-4x-2y=12 , 4x+2y=-8	$- 4 x - 2 y = 12$ , $4 x + 2 y = - 8$
1872	Write as a Vector Equality	4x-2y=-2 , -5x+6y=-22	$4 x - 2 y = - 2$ , $- 5 x + 6 y = - 22$
1873	Write as a Vector Equality	4x-2y=46 , 3x+7y=-8	$4 x - 2 y = 46$ , $3 x + 7 y = - 8$
1874	Write as a Vector Equality	4x-3y=0 , -4x+3y=0	$4 x - 3 y = 0$ , $- 4 x + 3 y = 0$
1875	Write as a Vector Equality	4x-3y=-2 , -12x+9y=6	$4 x - 3 y = - 2$ , $- 12 x + 9 y = 6$
1876	Write as a Vector Equality	4x-6y=3 , x+3y=0	$4 x - 6 y = 3$ , $x + 3 y = 0$
1877	Write as a Vector Equality	-4x-6y=8 , 24y=-16x-32	$- 4 x - 6 y = 8$ , $24 y = - 16 x - 32$
1878	Write as a Vector Equality	4x-8=-18 , x+y=3	$4 x - 8 = - 18$ , $x + y = 3$
1879	Write as a Vector Equality	4x-8y=12 , -3x+6y=-9	$4 x - 8 y = 12$ , $- 3 x + 6 y = - 9$
1880	Write as a Vector Equality	4x-y=4 , 8x-2y=8	$4 x - y = 4$ , $8 x - 2 y = 8$
1881	Write as a Vector Equality	4x-y=7 , x+y=3	$4 x - y = 7$ , $x + y = 3$
1882	Write as a Vector Equality	-4x-y-z=1 , x-4y-4z=21 , x+y-6z=3	$- 4 x - y - z = 1$ , $x - 4 y - 4 z = 21$ , $x + y - 6 z = 3$
1883	Write as a Vector Equality	4y=-19 , -7x-2y=34	$4 y = - 19$ , $- 7 x - 2 y = 34$
1884	Write as a Vector Equality	5x^2+3xy-5y^2=-9 , x^2-xy-y^2=-5	$5 x^{2} + 3 x y - 5 y^{2} = - 9$ , $x^{2} - x y - y^{2} = - 5$
1885	Write as a Vector Equality	5+(-1)+2(-8)=-12 , -2*5+3(-1)+3(-8)=4 , 2(5)+5(-1)+(-8)=0	$5 + (- 1) + 2 (- 8) = - 12$ , $- 2 \cdot 5 + 3 (- 1) + 3 (- 8) = 4$ , $2 (5) + 5 (- 1) + (- 8) = 0$
1886	Write as a Vector Equality	-5+9y=-12 , 3x+2y=22	$- 5 + 9 y = - 12$ , $3 x + 2 y = 22$
1887	Write as a Vector Equality	5a+3b=35 , a/b=2/5	$5 a + 3 b = 35$ , $\frac{a}{b} = \frac{2}{5}$
1888	Write as a Vector Equality	5b-1b=-8 , -1a+5b=16	$5 b - 1 b = - 8$ , $- 1 a + 5 b = 16$
1889	Write as a Vector Equality	5x+15y=35 , 6x+18y=48	$5 x + 15 y = 35$ , $6 x + 18 y = 48$
1890	Write as a Vector Equality	5x+1y=20 , 2x+6y=10	$5 x + 1 y = 20$ , $2 x + 6 y = 10$
1891	Write as a Vector Equality	5x+3y+z=-21 , x-3y+2z=-15 , 14x-2y+3z=60	$5 x + 3 y + z = - 21$ , $x - 3 y + 2 z = - 15$ , $14 x - 2 y + 3 z = 60$
1892	Write as a Vector Equality	5x+3y=-15 , -7x-6y=21	$5 x + 3 y = - 15$ , $- 7 x - 6 y = 21$
1893	Write as a Vector Equality	5x+3y=29 , 7x+9y=73	$5 x + 3 y = 29$ , $7 x + 9 y = 73$
1894	Write as a Vector Equality	5x+3y=39 , 2x+12y=75	$5 x + 3 y = 39$ , $2 x + 12 y = 75$
1895	Write as a Vector Equality	6x+4y=13 , 4x+3y=98	$6 x + 4 y = 13$ , $4 x + 3 y = 98$
1896	Write as a Vector Equality	6x+6y=30 , 3x+3y=-5	$6 x + 6 y = 30$ , $3 x + 3 y = - 5$
1897	Write as a Vector Equality	-6x+7y-z=18 , 2x+7y-z=9 , x+y+z=-8	$- 6 x + 7 y - z = 18$ , $2 x + 7 y - z = 9$ , $x + y + z = - 8$
1898	Write as a Vector Equality	-6x-2y+2z=-8 , 3x-2y-4z=8 , 6x-2y-6z=-18	$- 6 x - 2 y + 2 z = - 8$ , $3 x - 2 y - 4 z = 8$ , $6 x - 2 y - 6 z = - 18$
1899	Write as a Vector Equality	6x-2y=10 , 5x+3y=-1	$6 x - 2 y = 10$ , $5 x + 3 y = - 1$
1900	Write as a Vector Equality	6x-3y=-9 , 2x+2y=-6	$6 x - 3 y = - 9$ , $2 x + 2 y = - 6$