Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1901	Write as a Vector Equality	6x-4y=20 , 6x=4y+20	$6 x - 4 y = 20$ , $6 x = 4 y + 20$
1902	Write as a Vector Equality	6x-5y=35 , 6x=5y+35	$6 x - 5 y = 35$ , $6 x = 5 y + 35$
1903	Write as a Vector Equality	6x-9y+6z=7 , 4x-6y+4z=9	$6 x - 9 y + 6 z = 7$ , $4 x - 6 y + 4 z = 9$
1904	Write as a Vector Equality	6x-y+3z=-11 , x+3y-z=3 , 3x+3y-4z=-4	$6 x - y + 3 z = - 11$ , $x + 3 y - z = 3$ , $3 x + 3 y - 4 z = - 4$
1905	Write as a Vector Equality	6xy-4y^2=-4 , 9x^2+4y^2=10	$6 x y - 4 y^{2} = - 4$ , $9 x^{2} + 4 y^{2} = 10$
1906	Write as a Vector Equality	7a=4-b , 7a=2-b	$7 a = 4 - b$ , $7 a = 2 - b$
1907	Write as a Vector Equality	7a+2b=9 , 9a-8b=7	$7 a + 2 b = 9$ , $9 a - 8 b = 7$
1908	Write as a Vector Equality	7x+23y+3z=17 , 3x+10y+4z=-2 , x+3y-5z=6	$7 x + 23 y + 3 z = 17$ , $3 x + 10 y + 4 z = - 2$ , $x + 3 y - 5 z = 6$
1909	Write as a Vector Equality	7x+2y+2z=-46 , -7x+4y+2z=0 , 8x+4y+4z=-68	$7 x + 2 y + 2 z = - 46$ , $- 7 x + 4 y + 2 z = 0$ , $8 x + 4 y + 4 z = - 68$
1910	Write as a Vector Equality	7x+3y=-23 , -x+y=9	$7 x + 3 y = - 23$ , $- x + y = 9$
1911	Write as a Vector Equality	7x+5y=3 , 2x+3y=-7	$7 x + 5 y = 3$ , $2 x + 3 y = - 7$
1912	Write as a Vector Equality	7x+y=-23 , x=15-5y	$7 x + y = - 23$ , $x = 15 - 5 y$
1913	Write as a Vector Equality	7x-2y=14 , 2x+7x=57	$7 x - 2 y = 14$ , $2 x + 7 x = 57$
1914	Write as a Vector Equality	7x-4y=-14 , 3x=2y-6	$7 x - 4 y = - 14$ , $3 x = 2 y - 6$
1915	Write as a Vector Equality	-7x-4y=19 , -2x-3y=-2	$- 7 x - 4 y = 19$ , $- 2 x - 3 y = - 2$
1916	Write as a Vector Equality	7x-4y=60 , 2x-5y=21	$7 x - 4 y = 60$ , $2 x - 5 y = 21$
1917	Write as a Vector Equality	7x-9y=-4 , 7x+6y=11	$7 x - 9 y = - 4$ , $7 x + 6 y = 11$
1918	Write as a Vector Equality	8x^2-5y^2=27 , -4x-5y=3	$8 x^{2} - 5 y^{2} = 27$ , $- 4 x - 5 y = 3$
1919	Write as a Vector Equality	8p=12-2q , q+4p=6	$8 p = 12 - 2 q$ , $q + 4 p = 6$
1920	Write as a Vector Equality	8a+b+4d=-1 , 2a+2b+2d=0 , -2a+5b+2d=1	$8 a + b + 4 d = - 1$ , $2 a + 2 b + 2 d = 0$ , $- 2 a + 5 b + 2 d = 1$
1921	Write as a Vector Equality	8x+12y=36 , -12x-18y=-54	$8 x + 12 y = 36$ , $- 12 x - 18 y = - 54$
1922	Write as a Vector Equality	-8x-10y=-2 , -20x-25y=k	$- 8 x - 10 y = - 2$ , $- 20 x - 25 y = k$
1923	Write as a Vector Equality	8x-4y=7 , y=2x+5	$8 x - 4 y = 7$ , $y = 2 x + 5$
1924	Write as a Vector Equality	-8x-9y=-8 , 30x+38y=64 , 18x+10y=-64	$- 8 x - 9 y = - 8$ , $30 x + 38 y = 64$ , $18 x + 10 y = - 64$
1925	Write as a Vector Equality	-9=a(2)^2+b(2)+c , -9=4a+2b+c , 4a+2b+c=-9	$- 9 = a {(2)}^{2} + b (2) + c$ , $- 9 = 4 a + 2 b + c$ , $4 a + 2 b + c = - 9$
1926	Write as a Vector Equality	9x+5y=5 , 3x+5y=3	$9 x + 5 y = 5$ , $3 x + 5 y = 3$
1927	Write as a Vector Equality	9x+5y-3z=8 , 8x+4y-6z=4 , 6x+5x+2z=2	$9 x + 5 y - 3 z = 8$ , $8 x + 4 y - 6 z = 4$ , $6 x + 5 x + 2 z = 2$
1928	Write as a Vector Equality	9x+9x-7x=6 , -7x+0-1x=-10 , 9x+6x+8x=45	$9 x + 9 x - 7 x = 6$ , $- 7 x + 0 - 1 x = - 10$ , $9 x + 6 x + 8 x = 45$
1929	Write as a Vector Equality	9x+y=2 , y+z=0 , 6x-z=1	$9 x + y = 2$ , $y + z = 0$ , $6 x - z = 1$
1930	Write as a Vector Equality	9x=6y-24 , 9x-6y=-24	$9 x = 6 y - 24$ , $9 x - 6 y = - 24$
1931	Write as a Vector Equality	-9x-4y=7 , -2x-5y=18	$- 9 x - 4 y = 7$ , $- 2 x - 5 y = 18$
1932	Write as a Vector Equality	9x-y+z=-31 , 4x+2y-3z=-29 , x-3y+2z=8	$9 x - y + z = - 31$ , $4 x + 2 y - 3 z = - 29$ , $x - 3 y + 2 z = 8$
1933	Write as a Vector Equality	-9y+4x-20=0 , -7y+16x-80=0	$- 9 y + 4 x - 20 = 0$ , $- 7 y + 16 x - 80 = 0$
1934	Write as a Vector Equality	a(31)=23 , d=5 , n=23	$a (31) = 23$ , $d = 5$ , $n = 23$
1935	Write as a Vector Equality	a2=40.3 , a9=252.88	$a \cdot 2 = 40.3$ , $a \cdot 9 = 252.88$
1936	Write as a Vector Equality	a5=27 , a15=87	$a \cdot 5 = 27$ , $a \cdot 15 = 87$
1937	Write as a Vector Equality	bwhena*1=13 , d=4	$b w h e n a \cdot 1 = 13$ , $d = 4$
1938	Write as a Vector Equality	a+4.00b+1.70c=5 , a+1.50b+1045c=3 , a+5.00b+3.00c=7	$a + 4 b + 1.7 c = 5$ , $a + 1.5 b + 1045 c = 3$ , $a + 5 b + 3 c = 7$
1939	Write as a Vector Equality	a+c=9 , 8a+4.5c=58	$a + c = 9$ , $8 a + 4.5 c = 58$
1940	Write as a Vector Equality	a=1/2b+2 , a-4b=-12	$a = \frac{1}{2} b + 2$ , $a - 4 b = - 12$
1941	Write as a Vector Equality	a=5/2 , d=-1/2	$a = \frac{5}{2}$ , $d = - \frac{1}{2}$
1942	Write as a Vector Equality	A=20 , c=35	$A = 20$ , $c = 35$
1943	Write as a Vector Equality	a=-x+5.5 , b=0.33x+1.5	$a = - x + 5.5$ , $b = 0.33 x + 1.5$
1944	Write as a Vector Equality	ax+cy=0 , bx+dy=0	$a x + c y = 0$ , $b x + d y = 0$
1945	Write as a Vector Equality	b=36 , a=3yd , c=6yd	$b = 36$ , $a = 3 yds$ , $c = 6 yds$
1946	Write as a Vector Equality	D=3s-7t , s=-4 , t=2	$D = 3 s - 7 t$ , $s = - 4$ , $t = 2$
1947	Write as a Vector Equality	d=5(2w+1120) , d=7(1120)	$d = 5 (2 w + 1120)$ , $d = 7 (1120)$
1948	Write as a Vector Equality	f=1-0.2625+x/4500+0.75(y/4500)+((y(t-x-y))/(4500*1800)) , 1-(0.35-x/3375)-y/4500=0	$f = 1 - 0.2625 + \frac{x}{4500} + 0.75 (\frac{y}{4500}) + (\frac{y (t - x - y)}{4500 \cdot 1800})$ , $1 - (0.35 - \frac{x}{3375}) - \frac{y}{4500} = 0$
1949	Write as a Vector Equality	hj=2x+4 , jk=3x+3 , kh=22	$h j = 2 x + 4$ , $j k = 3 x + 3$ , $k h = 22$
1950	Write as a Vector Equality	m+n=5 , m-n=3	$m + n = 5$ , $m - n = 3$
1951	Write as a Vector Equality	m=-1/5 , b=1	$m = - \frac{1}{5}$ , $b = 1$
1952	Write as a Vector Equality	p+m+l=1150 , p=4l-100 , p=6m+50	$p + m + l = 1150$ , $p = 4 l - 100$ , $p = 6 m + 50$
1953	Write as a Vector Equality	P=1/4q^2+10 , P=86-6q-3q^2	$P = \frac{1}{4} q^{2} + 10$ , $P = 86 - 6 q - 3 q^{2}$
1954	Write as a Vector Equality	p=2800 , i=2% , n=60	$p = 2800$ , $i = 2 %$ , $n = 60$
1955	Write as a Vector Equality	3(2x+y)+5z=-1 , 2(x-3y+4z)=-9 , 4(1+x)=-3(z-3y)	$3 (2 x + y) + 5 z = - 1$ , $2 (x - 3 y + 4 z) = - 9$ , $4 (1 + x) = - 3 (z - 3 y)$
1956	Write as a Vector Equality	3x-5x^2+5x^3=2 , 2x-4x^2+0x^3=3 , 4x+2x^2-3x^3=2	$3 x - 5 x^{2} + 5 x^{3} = 2$ , $2 x - 4 x^{2} + 0 x^{3} = 3$ , $4 x + 2 x^{2} - 3 x^{3} = 2$
1957	Write as a Vector Equality	3x^2+y^2=28 , 3x^2-18x+y^2+27=19	$3 x^{2} + y^{2} = 28$ , $3 x^{2} - 18 x + y^{2} + 27 = 19$
1958	Write as a Vector Equality	35x+30y=1850 , x+y=55	$35 x + 30 y = 1850$ , $x + y = 55$
1959	Write as a Vector Equality	3a=2-b , 3a=5-b	$3 a = 2 - b$ , $3 a = 5 - b$
1960	Write as a Vector Equality	3p-2q=4 , 9p+4q=-3	$3 p - 2 q = 4$ , $9 p + 4 q = - 3$
1961	Write as a Vector Equality	3s+4t=17 , 7s-12t=13	$3 s + 4 t = 17$ , $7 s - 12 t = 13$
1962	Write as a Vector Equality	3a+4b=4 , 4a-7b=3	$3 a + 4 b = 4$ , $4 a - 7 b = 3$
1963	Write as a Vector Equality	3a+6b=9 , -2a+3b=4	$3 a + 6 b = 9$ , $- 2 a + 3 b = 4$
1964	Write as a Vector Equality	3a+6b=9 , 2a+4b=6	$3 a + 6 b = 9$ , $2 a + 4 b = 6$
1965	Write as a Vector Equality	3a-2b=1 , 4a+5b=3 , 7a+3b=2	$3 a - 2 b = 1$ , $4 a + 5 b = 3$ , $7 a + 3 b = 2$
1966	Write as a Vector Equality	3a-4b=-5 , -6a+8b=6	$3 a - 4 b = - 5$ , $- 6 a + 8 b = 6$
1967	Write as a Vector Equality	3a-6b=9 , -2a+4b=6	$3 a - 6 b = 9$ , $- 2 a + 4 b = 6$
1968	Write as a Vector Equality	3x+10y=115 , 11x+4y=95	$3 x + 10 y = 115$ , $11 x + 4 y = 95$
1969	Write as a Vector Equality	3x+2x^2=7 , x+3x^2=-5	$3 x + 2 x^{2} = 7$ , $x + 3 x^{2} = - 5$
1970	Write as a Vector Equality	3x+27=1 , 2x-y=10	$3 x + 27 = 1$ , $2 x - y = 10$
1971	Write as a Vector Equality	-3x+2y=-14 , x=3y+7	$- 3 x + 2 y = - 14$ , $x = 3 y + 7$
1972	Write as a Vector Equality	3x+2y=18 , 4x-3y=7	$3 x + 2 y = 18$ , $4 x - 3 y = 7$
1973	Write as a Vector Equality	3x+2y=2 , 2x+2y=3	$3 x + 2 y = 2$ , $2 x + 2 y = 3$
1974	Write as a Vector Equality	3x+3y+6z=9 , 2x+y+3z=7 , x+2y-2z=-10	$3 x + 3 y + 6 z = 9$ , $2 x + y + 3 z = 7$ , $x + 2 y - 2 z = - 10$
1975	Write as a Vector Equality	-3x+3y=0 , x+6y=10	$- 3 x + 3 y = 0$ , $x + 6 y = 10$
1976	Write as a Vector Equality	3x+4=23 , 3x-2y=11	$3 x + 4 = 23$ , $3 x - 2 y = 11$
1977	Write as a Vector Equality	-3x+4y=0 , x-3y=0	$- 3 x + 4 y = 0$ , $x - 3 y = 0$
1978	Write as a Vector Equality	3x+4y=7 , 6x+8y=14	$3 x + 4 y = 7$ , $6 x + 8 y = 14$
1979	Write as a Vector Equality	-3x+5y=-4 , -2x-7y=-5	$- 3 x + 5 y = - 4$ , $- 2 x - 7 y = - 5$
1980	Write as a Vector Equality	3x+5y-z=0 , 4x-y+2z=1 , 7x+4y+z=1	$3 x + 5 y - z = 0$ , $4 x - y + 2 z = 1$ , $7 x + 4 y + z = 1$
1981	Write as a Vector Equality	3x+6y=480 , 4x+2y=480	$3 x + 6 y = 480$ , $4 x + 2 y = 480$
1982	Write as a Vector Equality	3x+6y=a , x+2y=b	$3 x + 6 y = a$ , $x + 2 y = b$
1983	Write as a Vector Equality	3x+y+3z=5 , 5x-7y-z=5 , x-6y-2z=-7	$3 x + y + 3 z = 5$ , $5 x - 7 y - z = 5$ , $x - 6 y - 2 z = - 7$
1984	Write as a Vector Equality	-3x+y=-10 , x-y=6	$- 3 x + y = - 10$ , $x - y = 6$
1985	Write as a Vector Equality	-3x+y=-16 , -4x+3y=-23	$- 3 x + y = - 16$ , $- 4 x + 3 y = - 23$
1986	Write as a Vector Equality	-3x+y=-6 , y=-1/2x+1	$- 3 x + y = - 6$ , $y = - \frac{1}{2} x + 1$
1987	Write as a Vector Equality	3x=2y+1 , y=x	$3 x = 2 y + 1$ , $y = x$
1988	Write as a Vector Equality	3x=-4+10 , 4x+3y=11	$3 x = - 4 + 10$ , $4 x + 3 y = 11$
1989	Write as a Vector Equality	3x=4y+8 , 6x=7-5y	$3 x = 4 y + 8$ , $6 x = 7 - 5 y$
1990	Write as a Vector Equality	3x=-y+10 , 2x+3y=-12	$3 x = - y + 10$ , $2 x + 3 y = - 12$
1991	Write as a Vector Equality	3x+4x^2=3 , 5x+6x^2=7	$3 x + 4 x^{2} = 3$ , $5 x + 6 x^{2} = 7$
1992	Write as a Vector Equality	3x-10y+z=5 , -4x+9y-z=-6 , -13y+z=2	$3 x - 10 y + z = 5$ , $- 4 x + 9 y - z = - 6$ , $- 13 y + z = 2$
1993	Write as a Vector Equality	3x-12y+18z=-73 , 2x+4y-3z=9 , x-4y+6z=-24	$3 x - 12 y + 18 z = - 73$ , $2 x + 4 y - 3 z = 9$ , $x - 4 y + 6 z = - 24$
1994	Write as a Vector Equality	-3x-2y+2z=-2 , -x-3y+z=-3 , x-2y+z=-2	$- 3 x - 2 y + 2 z = - 2$ , $- x - 3 y + z = - 3$ , $x - 2 y + z = - 2$
1995	Write as a Vector Equality	3x-2y=-6 , -3x-y=-12	$3 x - 2 y = - 6$ , $- 3 x - y = - 12$
1996	Write as a Vector Equality	3x-2y=7 , 3x+5y=-7	$3 x - 2 y = 7$ , $3 x + 5 y = - 7$
1997	Write as a Vector Equality	3x-2y-2z=1 , 2x+y-2z=-4 , 5x+3y+4z=16	$3 x - 2 y - 2 z = 1$ , $2 x + y - 2 z = - 4$ , $5 x + 3 y + 4 z = 16$
1998	Write as a Vector Equality	-3x-4=7 , -2x+4y=3	$- 3 x - 4 = 7$ , $- 2 x + 4 y = 3$
1999	Write as a Vector Equality	3x-4y+2z=2 , x-y+2z=-3 , 2x+2y+3z=-4	$3 x - 4 y + 2 z = 2$ , $x - y + 2 z = - 3$ , $2 x + 2 y + 3 z = - 4$
2000	Find the Domain	y=3x+5	$y = 3 x + 5$