Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1701	Write as a Vector Equality	x-3y=-9 , 3y=x+9	$x - 3 y = - 9$ , $3 y = x + 9$
1702	Write as a Vector Equality	x-3y=-9 , -x-3y=-9	$x - 3 y = - 9$ , $- x - 3 y = - 9$
1703	Write as a Vector Equality	-x-4y+2z+w=-32 , 2x-y+7z+9w=14	$- x - 4 y + 2 z + w = - 32$ , $2 x - y + 7 z + 9 w = 14$
1704	Write as a Vector Equality	x-4y+z=2 , y=5x-z+2 , 4x+2z=2	$x - 4 y + z = 2$ , $y = 5 x - z + 2$ , $4 x + 2 z = 2$
1705	Write as a Vector Equality	-x-4y=0 , y=-1/4x+1	$- x - 4 y = 0$ , $y = - \frac{1}{4} x + 1$
1706	Write as a Vector Equality	x-4y=11 , 3y+z=9 , -x+z=7	$x - 4 y = 11$ , $3 y + z = 9$ , $- x + z = 7$
1707	Write as a Vector Equality	x-4y=-4 , 4y=x+4	$x - 4 y = - 4$ , $4 y = x + 4$
1708	Write as a Vector Equality	x-4y=4 , y=1/4x-1	$x - 4 y = 4$ , $y = \frac{1}{4} x - 1$
1709	Write as a Vector Equality	-x-4y=-8 , x+4y=8	$- x - 4 y = - 8$ , $x + 4 y = 8$
1710	Write as a Vector Equality	x-4y=-8 , -x+4y-8=0	$x - 4 y = - 8$ , $- x + 4 y - 8 = 0$
1711	Write as a Vector Equality	x-4y=-8 , -x-4y=-8	$x - 4 y = - 8$ , $- x - 4 y = - 8$
1712	Write as a Vector Equality	x-4y=a , 2x+3y=-6	$x - 4 y = a$ , $2 x + 3 y = - 6$
1713	Write as a Vector Equality	x-5y+z=30 , 5x-y-z=18	$x - 5 y + z = 30$ , $5 x - y - z = 18$
1714	Write as a Vector Equality	x-5y=10 , 2x-10y=20	$x - 5 y = 10$ , $2 x - 10 y = 20$
1715	Write as a Vector Equality	x-6y=-44 , x-8y=-58	$x - 6 y = - 44$ , $x - 8 y = - 58$
1716	Write as a Vector Equality	x-7+7z=-27 , -6x+y+8z=-38 , 2x+3y+7z=-26	$x - 7 + 7 z = - 27$ , $- 6 x + y + 8 z = - 38$ , $2 x + 3 y + 7 z = - 26$
1717	Write as a Vector Equality	x-9y=z-17 , x=7+y-z , x+y-z=3	$x - 9 y = z - 17$ , $x = 7 + y - z$ , $x + y - z = 3$
1718	Write as a Vector Equality	x-y+3z=8 , 3x+y-2z=-2 , 2x+4y+z=0	$x - y + 3 z = 8$ , $3 x + y - 2 z = - 2$ , $2 x + 4 y + z = 0$
1719	Write as a Vector Equality	x-y+4z=6 , 2x+z=1 , x+5y+z=-9	$x - y + 4 z = 6$ , $2 x + z = 1$ , $x + 5 y + z = - 9$
1720	Write as a Vector Equality	x-y+z=6 , x+y+z=2 , x+y-z=0	$x - y + z = 6$ , $x + y + z = 2$ , $x + y - z = 0$
1721	Write as a Vector Equality	x-y+z=-8 , 3x+2y-z=13 , -2x+3y-z=27	$x - y + z = - 8$ , $3 x + 2 y - z = 13$ , $- 2 x + 3 y - z = 27$
1722	Write as a Vector Equality	x-y=-1 , x+y=7	$x - y = - 1$ , $x + y = 7$
1723	Write as a Vector Equality	x-y=3 , x+y=5	$x - y = 3$ , $x + y = 5$
1724	Write as a Vector Equality	x-y=3 , 2x-2y=6	$x - y = 3$ , $2 x - 2 y = 6$
1725	Write as a Vector Equality	x-y=5 , 6x-5y=35	$x - y = 5$ , $6 x - 5 y = 35$
1726	Write as a Vector Equality	x-y=5 , x+y=-3	$x - y = 5$ , $x + y = - 3$
1727	Write as a Vector Equality	x-y=6 , 2y-z=-1 , 5x+5+z=7	$x - y = 6$ , $2 y - z = - 1$ , $5 x + 5 + z = 7$
1728	Write as a Vector Equality	x-y-2z=-6 , 3x+2y=25 , -4x+y-z=12	$x - y - 2 z = - 6$ , $3 x + 2 y = 25$ , $- 4 x + y - z = 12$
1729	Write as a Vector Equality	x-y-6=0 , x+y+4=0	$x - y - 6 = 0$ , $x + y + 4 = 0$
1730	Write as a Vector Equality	x-y-z+2s=1 , 2x-2y-z+3s=3 , -x+y-z=-5	$x - y - z + 2 s = 1$ , $2 x - 2 y - z + 3 s = 3$ , $- x + y - z = - 5$
1731	Write as a Vector Equality	x-y-z=0 , 2x-y+2z=1 , x-y+z=-2	$x - y - z = 0$ , $2 x - y + 2 z = 1$ , $x - y + z = - 2$
1732	Write as a Vector Equality	-x+2z=-2 , x+5z=43	$- x + 2 z = - 2$ , $x + 5 z = 43$
1733	Write as a Vector Equality	x+2z=5 , 2x+3y+z=9 , 3y-z=11	$x + 2 z = 5$ , $2 x + 3 y + z = 9$ , $3 y - z = 11$
1734	Write as a Vector Equality	x+3=1 , x-y=6	$x + 3 = 1$ , $x - y = 6$
1735	Write as a Vector Equality	x+3y+2z=1 , 2x+4y+(k-1)z=3 , x+ky+(k-3)z=k+1	$x + 3 y + 2 z = 1$ , $2 x + 4 y + (k - 1) z = 3$ , $x + k y + (k - 3) z = k + 1$
1736	Write as a Vector Equality	x+3y+3=0 , -x-3y=-3	$x + 3 y + 3 = 0$ , $- x - 3 y = - 3$
1737	Write as a Vector Equality	x+3y+5z=20 , y-4z=-16 , 3x-2y+9z=36	$x + 3 y + 5 z = 20$ , $y - 4 z = - 16$ , $3 x - 2 y + 9 z = 36$
1738	Write as a Vector Equality	-x+3y+6=0 , x-3y=6	$- x + 3 y + 6 = 0$ , $x - 3 y = 6$
1739	Write as a Vector Equality	x+3y+6=0 , -x-3y=-6	$x + 3 y + 6 = 0$ , $- x - 3 y = - 6$
1740	Write as a Vector Equality	x+3y+z=2 , -2x+2y-4z=-1 , -y+3z=1	$x + 3 y + z = 2$ , $- 2 x + 2 y - 4 z = - 1$ , $- y + 3 z = 1$
1741	Write as a Vector Equality	x+3y+z=a , x-2y+z=b , 3x+7y-z=c	$x + 3 y + z = a$ , $x - 2 y + z = b$ , $3 x + 7 y - z = c$
1742	Write as a Vector Equality	x+3y=1 , x-y=6	$x + 3 y = 1$ , $x - y = 6$
1743	Write as a Vector Equality	x+3y=10 , 3x+9y=16	$x + 3 y = 10$ , $3 x + 9 y = 16$
1744	Write as a Vector Equality	x+3y=10 , 4x+12y=40	$x + 3 y = 10$ , $4 x + 12 y = 40$
1745	Write as a Vector Equality	-x+3y=-6 , x=6+3y	$- x + 3 y = - 6$ , $x = 6 + 3 y$
1746	Write as a Vector Equality	-x+3y=6 , x-3y=6	$- x + 3 y = 6$ , $x - 3 y = 6$
1747	Write as a Vector Equality	-x+3y=-9 , x+3y=-9	$- x + 3 y = - 9$ , $x + 3 y = - 9$
1748	Write as a Vector Equality	x+3y-3z-w=11 , 4x+y+2z+5w=3 , -3x-y+z-3w=-7 , z-y-3z-5w=-1	$x + 3 y - 3 z - w = 11$ , $4 x + y + 2 z + 5 w = 3$ , $- 3 x - y + z - 3 w = - 7$ , $z - y - 3 z - 5 w = - 1$
1749	Write as a Vector Equality	x+3y-3z-w=8 , 4x+y+4z+3w=1 , -3x-y+z-5w=-24 , x-y-3z-5w=-12	$x + 3 y - 3 z - w = 8$ , $4 x + y + 4 z + 3 w = 1$ , $- 3 x - y + z - 5 w = - 24$ , $x - y - 3 z - 5 w = - 12$
1750	Write as a Vector Equality	x+3y-6=0 , -x-3y=-6	$x + 3 y - 6 = 0$ , $- x - 3 y = - 6$
1751	Write as a Vector Equality	x+4x-6=0 , 3x-y=7	$x + 4 x - 6 = 0$ , $3 x - y = 7$
1752	Write as a Vector Equality	x+4y+2z=6 , x+y+z=0 , -x-4y+3z=-6	$x + 4 y + 2 z = 6$ , $x + y + z = 0$ , $- x - 4 y + 3 z = - 6$
1753	Write as a Vector Equality	-x+4y+8=0 , x-4y=-8	$- x + 4 y + 8 = 0$ , $x - 4 y = - 8$
1754	Write as a Vector Equality	x+4y=12 , -2+2y=0	$x + 4 y = 12$ , $- 2 + 2 y = 0$
1755	Write as a Vector Equality	x+4y=6 , 3x+12y=18	$x + 4 y = 6$ , $3 x + 12 y = 18$
1756	Write as a Vector Equality	x+4y=60 , 4x+2y=100	$x + 4 y = 60$ , $4 x + 2 y = 100$
1757	Write as a Vector Equality	x+4y-7z=7 , x+y+9z=-29 , x+y+3z=11	$x + 4 y - 7 z = 7$ , $x + y + 9 z = - 29$ , $x + y + 3 z = 11$
1758	Write as a Vector Equality	x+5y=-18 , 3x+2y=-28	$x + 5 y = - 18$ , $3 x + 2 y = - 28$
1759	Write as a Vector Equality	-x+5y=-3 , 2x-10y=6	$- x + 5 y = - 3$ , $2 x - 10 y = 6$
1760	Write as a Vector Equality	x+6y-5z=-7 , 2x-3y+z=-3 , -6x+y+5x=17	$x + 6 y - 5 z = - 7$ , $2 x - 3 y + z = - 3$ , $- 6 x + y + 5 x = 17$
1761	Write as a Vector Equality	x+6y-5z=-7 , 2x-3y+z=-3 , -6x+y+5z=17	$x + 6 y - 5 z = - 7$ , $2 x - 3 y + z = - 3$ , $- 6 x + y + 5 z = 17$
1762	Write as a Vector Equality	x+7y=12 , -2x-5y=3	$x + 7 y = 12$ , $- 2 x - 5 y = 3$
1763	Write as a Vector Equality	x+8y=20 , -x+5y=6	$x + 8 y = 20$ , $- x + 5 y = 6$
1764	Write as a Vector Equality	x+by=5 , x+5y=b	$x + b y = 5$ , $x + 5 y = b$
1765	Write as a Vector Equality	x+w=8 , 2x=16 , 4x+8z=8 , 2y=4	$x + w = 8$ , $2 x = 16$ , $4 x + 8 z = 8$ , $2 y = 4$
1766	Write as a Vector Equality	x+y+2=0 , x^2+y^2+4y-x=-4	$x + y + 2 = 0$ , $x^{2} + y^{2} + 4 y - x = - 4$
1767	Write as a Vector Equality	-x+y+2x=-10 , x+y-z=7 , 2x+y+z=5	$- x + y + 2 x = - 10$ , $x + y - z = 7$ , $2 x + y + z = 5$
1768	Write as a Vector Equality	x+y+2z=1 , x+z=2 , -y-z=1	$x + y + 2 z = 1$ , $x + z = 2$ , $- y - z = 1$
1769	Write as a Vector Equality	x+y+3z=11 , x+y+9z=-29 , x+4y-7z=7	$x + y + 3 z = 11$ , $x + y + 9 z = - 29$ , $x + 4 y - 7 z = 7$
1770	Write as a Vector Equality	a=5 , r=-2	$a = 5$ , $r = - 2$
1771	Write as a Vector Equality	u=3i-5j , v=6i	$u = 3 i - 5 j$ , $v = 6 i$
1772	Write as a Vector Equality	u=5 , w=5 , x=45	$u = 5$ , $w = 5$ , $x = 45$
1773	Write as a Vector Equality	w+x-y+z=-10 , 4w-x+y-z=5 , -w-6x+y-6z=5	$w + x - y + z = - 10$ , $4 w - x + y - z = 5$ , $- w - 6 x + y - 6 z = 5$
1774	Write as a Vector Equality	w-3x+2y-z=8 , 3w-7x+z=0	$w - 3 x + 2 y - z = 8$ , $3 w - 7 x + z = 0$
1775	Write as a Vector Equality	w-x+y+z=-5 , 4w-3x-4y+2z=-37 , 3w+x-3y-3z=-11 , -w+2x+2y+2z=6	$w - x + y + z = - 5$ , $4 w - 3 x - 4 y + 2 z = - 37$ , $3 w + x - 3 y - 3 z = - 11$ , $- w + 2 x + 2 y + 2 z = 6$
1776	Write as a Vector Equality	x+2y=4 , 3x-y=5	$x + 2 y = 4$ , $3 x - y = 5$
1777	Write as a Vector Equality	x+y+z=7 , x+y-6z=14 , -6x+y+z=0	$x + y + z = 7$ , $x + y - 6 z = 14$ , $- 6 x + y + z = 0$
1778	Write as a Vector Equality	a+2b+3d=10 , 2g+2b=5 , a+3x^2=6 , 5b+6d=9	$a + 2 b + 3 d = 10$ , $2 g + 2 b = 5$ , $a + 3 x^{2} = 6$ , $5 b + 6 d = 9$
1779	Write as a Vector Equality	a+2b+4d=6 , a+b+2d=3	$a + 2 b + 4 d = 6$ , $a + b + 2 d = 3$
1780	Write as a Vector Equality	a+b+2d+g=1 , a-b-d+g=0 , b+d=-1 , a+b+g=2	$a + b + 2 d + g = 1$ , $a - b - d + g = 0$ , $b + d = - 1$ , $a + b + g = 2$
1781	Write as a Vector Equality	a+b+d=7 , a-b+2d=7 , 5a+b+d=11	$a + b + d = 7$ , $a - b + 2 d = 7$ , $5 a + b + d = 11$
1782	Write as a Vector Equality	a+b=2 , 4a+5b=8	$a + b = 2$ , $4 a + 5 b = 8$
1783	Write as a Vector Equality	a+d=m , d+g=n , g+h=o , h+j=p , j+k=q , k+l=t , l+a=u	$a + d = m$ , $d + g = n$ , $g + h = o$ , $h + j = p$ , $j + k = q$ , $k + l = t$ , $l + a = u$
1784	Write as a Vector Equality	a+b-d=2 , 3a+3b+d=2 , a+d=0	$a + b - d = 2$ , $3 a + 3 b + d = 2$ , $a + d = 0$
1785	Write as a Vector Equality	-a-2b=8 , -3a-6b=-24	$- a - 2 b = 8$ , $- 3 a - 6 b = - 24$
1786	Write as a Vector Equality	a-3b=0 , -2a+6b=0 , 4a-12b=0	$a - 3 b = 0$ , $- 2 a + 6 b = 0$ , $4 a - 12 b = 0$
1787	Write as a Vector Equality	a-4b+2d+3g=5 , 2a-7b+4d+g=9 , a-3b+2d-2g=4	$a - 4 b + 2 d + 3 g = 5$ , $2 a - 7 b + 4 d + g = 9$ , $a - 3 b + 2 d - 2 g = 4$
1788	Write as a Vector Equality	b-d+ag=0 , b+d+2g=0 , -b+3d-6g=0	$b - d + a g = 0$ , $b + d + 2 g = 0$ , $- b + 3 d - 6 g = 0$
1789	Write as a Vector Equality	x+2=1 , y-2=5	$x + 2 = 1$ , $y - 2 = 5$
1790	Write as a Vector Equality	x+2y+3z=1 , 4x+5y+z=13	$x + 2 y + 3 z = 1$ , $4 x + 5 y + z = 13$
1791	Write as a Vector Equality	x+2y+3z=2 , 2x+y-2=0 , 5x+2y+2z=5	$x + 2 y + 3 z = 2$ , $2 x + y - 2 = 0$ , $5 x + 2 y + 2 z = 5$
1792	Write as a Vector Equality	x+2y+5z=15 , 2x-3y+3z=2	$x + 2 y + 5 z = 15$ , $2 x - 3 y + 3 z = 2$
1793	Write as a Vector Equality	x+2y+x=4 , x-y=1 , x+3y=0	$x + 2 y + x = 4$ , $x - y = 1$ , $x + 3 y = 0$
1794	Write as a Vector Equality	x+2y=1 , -2x+5y=2	$x + 2 y = 1$ , $- 2 x + 5 y = 2$
1795	Write as a Vector Equality	x+2y=1 , -3x+y=-10	$x + 2 y = 1$ , $- 3 x + y = - 10$
1796	Write as a Vector Equality	x+2y=-11 , 2x+3y=-17	$x + 2 y = - 11$ , $2 x + 3 y = - 17$
1797	Write as a Vector Equality	x+2y=3 , 2x+ky=2	$x + 2 y = 3$ , $2 x + k y = 2$
1798	Write as a Vector Equality	x+2y=4 , 4x+8y=16	$x + 2 y = 4$ , $4 x + 8 y = 16$
1799	Write as a Vector Equality	x+2y=48 , x+y=30 , 2x+y=50 , f=70x+30y	$x + 2 y = 48$ , $x + y = 30$ , $2 x + y = 50$ , $f = 70 x + 30 y$
1800	Write as a Vector Equality	x+2y=8 , -x-2y=8	$x + 2 y = 8$ , $- x - 2 y = 8$