Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
28101	Find the Intersection of the Inequalities	y=x+1 , y=10 , x=0	$y = x + 1$ , $y = 10$ , $x = 0$
28102	Find the Intersection of the Inequalities	y=x-3 , y=3x+1	$y = x - 3$ , $y = 3 x + 1$
28103	Find the Intersection of the Inequalities	y>4^x , y<8-x^2 , x+y>0	$y > 4^{x}$ , $y < 8 - x^{2}$ , $x + y > 0$
28104	Find the Intersection of the Inequalities	y>x^2-6 , y=x-2	$y > x^{2} - 6$ , $y = x - 2$
28105	Find the Intersection of the Inequalities	y>x^2-8 , y=x-2	$y > x^{2} - 8$ , $y = x - 2$
28106	Find the Intersection of the Inequalities	y>x^2-9 , x+y=2	$y > x^{2} - 9$ , $x + y = 2$
28107	Find the Intersection of the Inequalities	y>-3x+2 , y<2x+1	$y > - 3 x + 2$ , $y < 2 x + 1$
28108	Find the Intersection of the Inequalities	y>-3x-3 , y<-1/2x+2	$y > - 3 x - 3$ , $y < - \frac{1}{2} x + 2$
28109	Find the Intersection of the Inequalities	y>3x-5 , y=-2x+5	$y > 3 x - 5$ , $y = - 2 x + 5$
28110	Find the Intersection of the Inequalities	y>8x-2 , y<-4x+4	$y > 8 x - 2$ , $y < - 4 x + 4$
28111	Find the Intersection of the Inequalities	y-2x=2 , y+x=2	$y - 2 x = 2$ , $y + x = 2$
28112	Find the Intersection of the Inequalities	y-2x-2<0 , x+y>2	$y - 2 x - 2 < 0$ , $x + y > 2$
28113	Find the Intersection of the Inequalities	y-x=2 , 3x+2y=-1 , 4x+y=7	$y - x = 2$ , $3 x + 2 y = - 1$ , $4 x + y = 7$
28114	Find the Intersection of the Inequalities	(x+2)^2+(y-7)^2=9 , (x+2)^2+(y-7)^2=9	${(x + 2)}^{2} + {(y - 7)}^{2} = 9$ , ${(x + 2)}^{2} + {(y - 7)}^{2} = 9$
28115	Find the Intersection of the Inequalities	x-2y=10 , 2x+y>10	$x - 2 y = 10$ , $2 x + y > 10$
28116	Find the Intersection of the Inequalities	x-3y=9 , 3x+y=9	$x - 3 y = 9$ , $3 x + y = 9$
28117	Find the Intersection of the Inequalities	x-3y>2 , 2x-y<4 , 2x+4y=-7	$x - 3 y > 2$ , $2 x - y < 4$ , $2 x + 4 y = - 7$
28118	Find the Intersection of the Inequalities	x-y>0 , y>1	$x - y > 0$ , $y > 1$
28119	Find the Intersection of the Inequalities	y<x^2 , 6x-5y<30	$y < x^{2}$ , $6 x - 5 y < 30$
28120	Find the Intersection of the Inequalities	y<-2x+6 , y<x-2	$y < - 2 x + 6$ , $y < x - 2$
28121	Find the Intersection of the Inequalities	y<3x-5 , y=-2x+9	$y < 3 x - 5$ , $y = - 2 x + 9$
28122	Find the Intersection of the Inequalities	y<x+6 , 3x+2y=12 , x-2y=2	$y < x + 6$ , $3 x + 2 y = 12$ , $x - 2 y = 2$
28123	Find the Intersection of the Inequalities	sin(x)<0 , cos(x)<0	$\sin (x) < 0$ , $\cos (x) < 0$
28124	Find the Intersection of the Inequalities	sin(x)<0 , cot(x)<0	$\sin (x) < 0$ , $\cot (x) < 0$
28125	Find the Intersection of the Inequalities	sin(x)<0 , tan(x)>0	$\sin (x) < 0$ , $\tan (x) > 0$
28126	Find the Intersection of the Inequalities	sin(x)>0 , sec(x)>0	$\sin (x) > 0$ , $\sec (x) > 0$
28127	Find the Intersection of the Inequalities	sin(t)<0 , cos(t)<0	$\sin (t) < 0$ , $\cos (t) < 0$
28128	Find the Intersection of the Inequalities	7x+4y<4 , y=-7/4x-6	$7 x + 4 y < 4$ , $y = - \frac{7}{4} x - 6$
28129	Find the Intersection of the Inequalities	8x+2y=36 , -3x+6y=27 , -7x+5y=-18	$8 x + 2 y = 36$ , $- 3 x + 6 y = 27$ , $- 7 x + 5 y = - 18$
28130	Find the Intersection of the Inequalities	cos(x)<0 , sin(x)<0	$\cos (x) < 0$ , $\sin (x) < 0$
28131	Find the Intersection of the Inequalities	x+y=4 , y=x^2-3	$x + y = 4$ , $y = x^{2} - 3$
28132	Find the Intersection of the Inequalities	x<0 , -y>0	$x < 0$ , $- y > 0$
28133	Find the Intersection of the Inequalities	x=0 , y=0 , x+y=6 , 10x+5y=50 , 5x+10y=50	$x = 0$ , $y = 0$ , $x + y = 6$ , $10 x + 5 y = 50$ , $5 x + 10 y = 50$
28134	Find the Intersection of the Inequalities	x-2y<-6 , 5x-3y>-9	$x - 2 y < - 6$ , $5 x - 3 y > - 9$
28135	Find the Intersection of the Inequalities	y=x^2-3 , y>x+3	$y = x^{2} - 3$ , $y > x + 3$
28136	Find the Intersection of the Inequalities	y=x^2-5 , y=2x-2	$y = x^{2} - 5$ , $y = 2 x - 2$
28137	Find the Intersection of the Inequalities	y=-4x , x=5 , y=0 , y=1/2x+3	$y = - 4 x$ , $x = 5$ , $y = 0$ , $y = \frac{1}{2} x + 3$
28138	Find the Intersection of the Inequalities	y=-x+3 , y=4x+7	$y = - x + 3$ , $y = 4 x + 7$
28139	Find the Intersection of the Inequalities	y>3x+5 , y<-2x+7	$y > 3 x + 5$ , $y < - 2 x + 7$
28140	Find the Union of the Inequalities	x<=61 or x>=67	$x \leq 61$ or $x \geq 67$
28141	Find the Union of the Inequalities	(4x-9)/8=-6 , (4x-9)/8=8	$\frac{4 x - 9}{8} = - 6$ , $\frac{4 x - 9}{8} = 8$
28142	Find the Union of the Inequalities	x^2+y^2<4 , 2x+y^2=1	$x^{2} + y^{2} < 4$ , $2 x + y^{2} = 1$
28143	Find the Intersection of the Inequalities	3x+7y=21 , 9x+y=21	$3 x + 7 y = 21$ , $9 x + y = 21$
28144	Find the Intersection of the Inequalities	3x+y=21 , x+y=9 , x+3y=21 , x=0 , y=0	$3 x + y = 21$ , $x + y = 9$ , $x + 3 y = 21$ , $x = 0$ , $y = 0$
28145	Find the Intersection of the Inequalities	3x+y=6 , x-3y=6	$3 x + y = 6$ , $x - 3 y = 6$
28146	Find the Intersection of the Inequalities	4x-4y<6 , 4x-4y>6	$4 x - 4 y < 6$ , $4 x - 4 y > 6$
28147	Find the Intersection of the Inequalities	5x-2y=0 , 2x+5y=10	$5 x - 2 y = 0$ , $2 x + 5 y = 10$
28148	Find the Intersection of the Inequalities	x^2+y^2=64 , 3x+2y=6	$x^{2} + y^{2} = 64$ , $3 x + 2 y = 6$
28149	Find the Intersection of the Inequalities	x^2+y^2=64 , y>x	$x^{2} + y^{2} = 64$ , $y > x$
28150	Find the Intersection of the Inequalities	10x+6y=60 , 10/3x+8/3y=32/3	$10 x + 6 y = 60$ , $\frac{10}{3} x + \frac{8}{3} y = \frac{32}{3}$
28151	Solve in Terms of the Arbitrary Variable a	ax+by+2cz=25 , ax-by-cz=0	$a x + b y + 2 c z = 25$ , $a x - b y - c z = 0$
28152	Solve in Terms of the Arbitrary Variable a	ax+by=0 , a^2x+b^2y=1	$a x + b y = 0$ , $a^{2} x + b^{2} y = 1$
28153	Solve in Terms of the Arbitrary Variable a	ax+by=1 , bx+ay=1	$a x + b y = 1$ , $b x + a y = 1$
28154	Solve in Terms of the Arbitrary Variable a	ax+by=1 , bx+ay=1 , a^2-b^2=1	$a x + b y = 1$ , $b x + a y = 1$ , $a^{2} - b^{2} = 1$
28155	Solve in Terms of the Arbitrary Variable a	ax+by=c , ax-5by=c
28156	Solve in Terms of the Arbitrary Variable a	ax-b=4c , a=0	$a x - b = 4 c$ , $a = 0$
28157	Solve in Terms of the Arbitrary Variable a	tan(x)=1/2 , sin(x)=x	$\tan (x) = \frac{1}{2}$ , $\sin (x) = x$
28158	Solve in Terms of the Arbitrary Variable b	log base b of 9=3.1699 , log base b of 5=2.2319	$\log_{b} (9) = 3.1699$ , $\log_{b} (5) = 2.2319$
28159	Solve in Terms of the Arbitrary Variable b	-2x+3y=5 , ax+y=b	$- 2 x + 3 y = 5$ , $a x + y = b$
28160	Solve in Terms of the Arbitrary Variable b	3x+4y=14 , 6x+8y=7b	$3 x + 4 y = 14$ , $6 x + 8 y = 7 b$
28161	Solve in Terms of the Arbitrary Variable b	-6x+by=-14 , 15x+20y=13	$- 6 x + b y = - 14$ , $15 x + 20 y = 13$
28162	Solve in Terms of the Arbitrary Variable b	A=30 , b=3	$A = 30$ , $b = 3$
28163	Solve in Terms of the Arbitrary Variable b	A=40 , b=51.8	$A = 40$ , $b = 51.8$
28164	Solve in Terms of the Arbitrary Variable b	a=4i-4j , b=4i+5j	$a = 4 i - 4 j$ , $b = 4 i + 5 j$
28165	Solve in Terms of the Arbitrary Variable b	a=8 , b=7 , C=20	$a = 8$ , $b = 7$ , $C = 20$
28166	Solve in Terms of the Arbitrary Variable b	ax+5y=b , 2x-3y=-5	$a x + 5 y = b$ , $2 x - 3 y = - 5$
28167	Solve in Terms of the Arbitrary Variable b	-x+3y=-4b , -3y=-4b	$- x + 3 y = - 4 b$ , $- 3 y = - 4 b$
28168	Solve in Terms of the Arbitrary Variable c	a=18 , c=22	$a = 18$ , $c = 22$
28169	Solve in Terms of the Arbitrary Variable c	A=54 , b=11 , c=8	$A = 54$ , $b = 11$ , $c = 8$
28170	Solve in Terms of the Arbitrary Variable C	AB=10 , BC=6	$A B = 10$ , $B C = 6$
28171	Solve in Terms of the Arbitrary Variable c	x=80cos(38)t , y=8.7+80sin(38)t-16t^2	$x = 80 \cos (38) t$ , $y = 8.7 + 80 \sin (38) t - 16 t^{2}$
28172	Solve in Terms of the Arbitrary Variable d	12x-8y=-19 , -15x+dy=-4	$12 x - 8 y = - 19$ , $- 15 x + d y = - 4$
28173	Find the Equation with Real Coefficients	v = square root of 2j , w=4i	$v = \sqrt{2} j$ , $w = 4 i$
28174	Find the Equation with Real Coefficients	v=-2i-9j , w=10i-j	$v = - 2 i - 9 j$ , $w = 10 i - j$
28175	Find the Equation with Real Coefficients	v=8 , a=120	$v = 8$ , $a = 120$
28176	Find the Equation with Real Coefficients	v=i-4j , w=2i+j	$v = i - 4 j$ , $w = 2 i + j$
28177	Find the Equation with Real Coefficients	-w+2x+7y+z=26 , 4x+y=19 , w+x+6y=26 , -7w+6x+2y=2	$- w + 2 x + 7 y + z = 26$ , $4 x + y = 19$ , $w + x + 6 y = 26$ , $- 7 w + 6 x + 2 y = 2$
28178	Find the Equation with Real Coefficients	w-5z=5 , x+y-6z=5 , 0=0	$w - 5 z = 5$ , $x + y - 6 z = 5$ , $0 = 0$
28179	Find the Equation with Real Coefficients	a-3b-2d=0 , 2a-2b-6d=-18 , a+b-4d=-18	$a - 3 b - 2 d = 0$ , $2 a - 2 b - 6 d = - 18$ , $a + b - 4 d = - 18$
28180	Find the Equation with Real Coefficients	x+2y=4 , -4x-8y=-16	$x + 2 y = 4$ , $- 4 x - 8 y = - 16$
28181	Find the Equation with Real Coefficients	x+2y=-4 , -5x+8y=-52	$x + 2 y = - 4$ , $- 5 x + 8 y = - 52$
28182	Find the Equation with Real Coefficients	x+2y-z=10 , x+z=-2 , 2x-y-z=-4	$x + 2 y - z = 10$ , $x + z = - 2$ , $2 x - y - z = - 4$
28183	Find the Equation with Real Coefficients	x+3y=21 , 3x+3y=-15	$x + 3 y = 21$ , $3 x + 3 y = - 15$
28184	Find the Equation with Real Coefficients	x+3y-z=0 , 3x+4y-2z=-3 , -x+2y=3	$x + 3 y - z = 0$ , $3 x + 4 y - 2 z = - 3$ , $- x + 2 y = 3$
28185	Find the Equation with Real Coefficients	x+4y-z=1 , 5x-6y+z=-22 , -5x+2y-2x=14	$x + 4 y - z = 1$ , $5 x - 6 y + z = - 22$ , $- 5 x + 2 y - 2 x = 14$
28186	Find the Equation with Real Coefficients	x+y+6z=3 , x+y+3z=3 , x+2y+4z=7	$x + y + 6 z = 3$ , $x + y + 3 z = 3$ , $x + 2 y + 4 z = 7$
28187	Find the Equation with Real Coefficients	x+y+z=1 , 2x+3y+4z=1 , -3x-2y-z=-2	$x + y + z = 1$ , $2 x + 3 y + 4 z = 1$ , $- 3 x - 2 y - z = - 2$
28188	Find the Equation with Real Coefficients	-x+y+z=-1 , -x+3y-3z=-15 , 7x-6y-9z=0	$- x + y + z = - 1$ , $- x + 3 y - 3 z = - 15$ , $7 x - 6 y - 9 z = 0$
28189	Find the Equation with Real Coefficients	x+y+z=354 , 9x+3y+z=316 , 16x+4y+z=249	$x + y + z = 354$ , $9 x + 3 y + z = 316$ , $16 x + 4 y + z = 249$
28190	Find the Equation with Real Coefficients	x+y+z=4 , 4x-2y+z=40 , 4x+2y+z=58	$x + y + z = 4$ , $4 x - 2 y + z = 40$ , $4 x + 2 y + z = 58$
28191	Find the Equation with Real Coefficients	x+y+z-w=6 , 3x+y-z+w=8 , x-5y+2z+w=5 , -x-y+z+3w=2	$x + y + z - w = 6$ , $3 x + y - z + w = 8$ , $x - 5 y + 2 z + w = 5$ , $- x - y + z + 3 w = 2$
28192	Find the Equation with Real Coefficients	x+y=10 , x-2y-z=9 , 2x-y-2x=3	$x + y = 10$ , $x - 2 y - z = 9$ , $2 x - y - 2 x = 3$
28193	Find the Equation with Real Coefficients	x+y-z=2 , x-y+3z=-10 , x+2y-5z=12	$x + y - z = 2$ , $x - y + 3 z = - 10$ , $x + 2 y - 5 z = 12$
28194	Find the Equation with Real Coefficients	x+y-z=4 , 4x-y+z=6 , x-3y+2x=-21	$x + y - z = 4$ , $4 x - y + z = 6$ , $x - 3 y + 2 x = - 21$
28195	Find the Equation with Real Coefficients	x+y-z=6 , x-y+4z=16 , x+4y-5z=5	$x + y - z = 6$ , $x - y + 4 z = 16$ , $x + 4 y - 5 z = 5$
28196	Find the Equation with Real Coefficients	x=cos(t)^2 , y=sin(t)^2	$x = \cos^{2} (t)$ , $y = \sin^{2} (t)$
28197	Find the Equation with Real Coefficients	x=5+3t , y=3t^2 , t=-2	$x = 5 + 3 t$ , $y = 3 t^{2}$ , $t = - 2$
28198	Find the Equation with Real Coefficients	x=5cos(x) , y=4sin(x)	$x = 5 \cos (x)$ , $y = 4 \sin (x)$
28199	Find the Equation with Real Coefficients	x=7t-7sin(t) , y=7-7cos(t)	$x = 7 t - 7 \sin (t)$ , $y = 7 - 7 \cos (t)$
28200	Find the Equation with Real Coefficients	x=cos(t) , y=-sin(t)	$x = \cos (t)$ , $y = - \sin (t)$