Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5001	Solve by Substitution	3x+y=7 , 2x+2y=6	$3 x + y = 7$ , $2 x + 2 y = 6$
5002	Solve by Substitution	3x-2y+5=0 , -3+4y-7=0 , 8x-4y+5z=0	$3 x - 2 y + 5 = 0$ , $- 3 + 4 y - 7 = 0$ , $8 x - 4 y + 5 z = 0$
5003	Solve by Substitution	3x-2y=0 , 5x-y=7	$3 x - 2 y = 0$ , $5 x - y = 7$
5004	Solve by Substitution	3x-2y=0 , 6x-y=9	$3 x - 2 y = 0$ , $6 x - y = 9$
5005	Solve by Substitution	3x-2y=-1 , -6x-4y=2	$3 x - 2 y = - 1$ , $- 6 x - 4 y = 2$
5006	Solve by Substitution	3x-2y=17 , 2x+7y=-47	$3 x - 2 y = 17$ , $2 x + 7 y = - 47$
5007	Solve by Substitution	14s+7c=280 , s+c=11	$14 s + 7 c = 280$ , $s + c = 11$
5008	Solve by Substitution	-15x-2y+z=-21 , 20x+y-z=36 , 10x-2y+z=-11	$- 15 x - 2 y + z = - 21$ , $20 x + y - z = 36$ , $10 x - 2 y + z = - 11$
5009	Solve by Substitution	-16(x+4)=15y , 4x-4y=15	$- 16 (x + 4) = 15 y$ , $4 x - 4 y = 15$
5010	Solve by Substitution	18x-3y=21 , y=6x+7	$18 x - 3 y = 21$ , $y = 6 x + 7$
5011	Solve by Substitution	1x+1y+1z=7 , 1x-1y+2z=7 , 2x+3z=15	$1 x + 1 y + 1 z = 7$ , $1 x - 1 y + 2 z = 7$ , $2 x + 3 z = 15$
5012	Solve by Substitution	20x+10y=720 , 10x+20y=660	$20 x + 10 y = 720$ , $10 x + 20 y = 660$
5013	Solve by Substitution	-25x-15y-z=-6 , -15x-25y-2z=43 , 20x+15y+z=-4	$- 25 x - 15 y - z = - 6$ , $- 15 x - 25 y - 2 z = 43$ , $20 x + 15 y + z = - 4$
5014	Solve by Substitution	25x-30y+100=0 , 50x+40y-200=0	$25 x - 30 y + 100 = 0$ , $50 x + 40 y - 200 = 0$
5015	Solve by Substitution	2a+b=7 , 2a+1.5b=21	$2 a + b = 7$ , $2 a + 1.5 b = 21$
5016	Solve by Substitution	2s+4c=16 , 4s+3c=24	$2 s + 4 c = 16$ , $4 s + 3 c = 24$
5017	Solve by Substitution	2x+y=6 , x-y=-3	$2 x + y = 6$ , $x - y = - 3$
5018	Solve by Substitution	2x+y-z=-9 , x+3y+z=-19 , -3x-2y+3z=11	$2 x + y - z = - 9$ , $x + 3 y + z = - 19$ , $- 3 x - 2 y + 3 z = 11$
5019	Solve by Substitution	2x+1y=96 , x+y=59	$2 x + 1 y = 96$ , $x + y = 59$
5020	Solve by Substitution	2x+3y=1 , -2x-3y=-1	$2 x + 3 y = 1$ , $- 2 x - 3 y = - 1$
5021	Solve by Substitution	2x+3y=10 , 4x+6y=20	$2 x + 3 y = 10$ , $4 x + 6 y = 20$
5022	Solve by Substitution	-2x+3y=17 , -3x-4y=0	$- 2 x + 3 y = 17$ , $- 3 x - 4 y = 0$
5023	Solve by Substitution	2x+4=12 , x+2y=14	$2 x + 4 = 12$ , $x + 2 y = 14$
5024	Solve by Substitution	2x+4y=-6 , -3x-5y=12	$2 x + 4 y = - 6$ , $- 3 x - 5 y = 12$
5025	Solve by Substitution	2x+5y=6 , 3x-2y=1	$2 x + 5 y = 6$ , $3 x - 2 y = 1$
5026	Solve by Substitution	2x+6y=4 , 3x-3y=8	$2 x + 6 y = 4$ , $3 x - 3 y = 8$
5027	Solve by Substitution	2x+y=10 , 5x+2y=20	$2 x + y = 10$ , $5 x + 2 y = 20$
5028	Solve by Substitution	2x+y=10 , x+2y=2	$2 x + y = 10$ , $x + 2 y = 2$
5029	Solve by Substitution	2x+y=25 , 5x+3y=66	$2 x + y = 25$ , $5 x + 3 y = 66$
5030	Solve by Substitution	2x+y=6 , 3x+2y=10	$2 x + y = 6$ , $3 x + 2 y = 10$
5031	Solve by Substitution	2x+y=-7 , x-y=10	$2 x + y = - 7$ , $x - y = 10$
5032	Solve by Substitution	x/6-y/4=1 , x/4+y=-4	$\frac{x}{6} - \frac{y}{4} = 1$ , $\frac{x}{4} + y = - 4$
5033	Solve by Substitution	0.875x+0.5y=2050 , 0.125x+0.5y=1500	$0.875 x + 0.5 y = 2050$ , $0.125 x + 0.5 y = 1500$
5034	Solve by Substitution	1=2 , 2=4 , 3=8 , 4=16	$1 = 2$ , $2 = 4$ , $3 = 8$ , $4 = 16$
5035	Solve by Substitution	10000x+15000y=150000 , 180000x+120000y=2400000	$10000 x + 15000 y = 150000$ , $180000 x + 120000 y = 2400000$
5036	Solve by Substitution	100a-60b-40c=12 , -60a+104b-4c=0 , -40a-4b+104c=0	$100 a - 60 b - 40 c = 12$ , $- 60 a + 104 b - 4 c = 0$ , $- 40 a - 4 b + 104 c = 0$
5037	Solve by Substitution	100x+175z=937.50 , 200x+316z=1790.00	$100 x + 175 z = 937.5$ , $200 x + 316 z = 1790$
5038	Solve by Substitution	10x+50y=2 , 50x-10y=1	$10 x + 50 y = 2$ , $50 x - 10 y = 1$
5039	Solve by Substitution	10x+6x^2-9x^3=21 , 15x-4x^2+9x^3=-24 , -10+3x^2-4x^3=20	$10 x + 6 x^{2} - 9 x^{3} = 21$ , $15 x - 4 x^{2} + 9 x^{3} = - 24$ , $- 10 + 3 x^{2} - 4 x^{3} = 20$
5040	Solve by Substitution	10x+8y=280 , x+y=30	$10 x + 8 y = 280$ , $x + y = 30$
5041	Solve by Substitution	12x-4=2y , 6x=y+2	$12 x - 4 = 2 y$ , $6 x = y + 2$
5042	Solve by Substitution	y-x=3 , x-y=2	$y - x = 3$ , $x - y = 2$
5043	Solve by Substitution	y-x=5 , x-y=7	$y - x = 5$ , $x - y = 7$
5044	Solve by Substitution	y-x=7 , x-y=6	$y - x = 7$ , $x - y = 6$
5045	Solve by Substitution	y-x=7 , x-y=8	$y - x = 7$ , $x - y = 8$
5046	Solve by Substitution	z=7x+11y , 0.5x+0.25y=117 , 0.5x+0.75y=207	$z = 7 x + 11 y$ , $0.5 x + 0.25 y = 117$ , $0.5 x + 0.75 y = 207$
5047	Solve by Substitution	(x-y)-(6x+8y)=-(10x+5y+3) , (x+y)-(9y-11x)=2y-2x	$(x - y) - (6 x + 8 y) = - (10 x + 5 y + 3)$ , $(x + y) - (9 y - 11 x) = 2 y - 2 x$
5048	Solve by Substitution	-0.4x+0.3y+0.2z=0 , 0.2x-0.4y+0.7z=0 , 0.2x+0.1y-0.9z=0 , x+y+z=1	$- 0.4 x + 0.3 y + 0.2 z = 0$ , $0.2 x - 0.4 y + 0.7 z = 0$ , $0.2 x + 0.1 y - 0.9 z = 0$ , $x + y + z = 1$
5049	Solve by Substitution	y=x^2+6x+8 , y=x+4	$y = x^{2} + 6 x + 8$ , $y = x + 4$
5050	Solve by Substitution	y=x^2-14x+49 , x+y=27	$y = x^{2} - 14 x + 49$ , $x + y = 27$
5051	Solve by Substitution	y=-1+x , y=3+z , z=-2x	$y = - 1 + x$ , $y = 3 + z$ , $z = - 2 x$
5052	Solve by Substitution	y=-1x+4 , y=3x	$y = - 1 x + 4$ , $y = 3 x$
5053	Solve by Substitution	y=-2+x , y=3+z , y=1-x	$y = - 2 + x$ , $y = 3 + z$ , $y = 1 - x$
5054	Solve by Substitution	y=20 , 3x+y=5	$y = 20$ , $3 x + y = 5$
5055	Solve by Substitution	y=2-x , 3x+3y=6	$y = 2 - x$ , $3 x + 3 y = 6$
5056	Solve by Substitution	y=2x+1 , x-3y=-13	$y = 2 x + 1$ , $x - 3 y = - 13$
5057	Solve by Substitution	y=-2x+3 , 2x+4y=8	$y = - 2 x + 3$ , $2 x + 4 y = 8$
5058	Solve by Substitution	y=-2x+6 , 6x+3y=15	$y = - 2 x + 6$ , $6 x + 3 y = 15$
5059	Solve by Substitution	y=2x+7 , y=2x-7	$y = 2 x + 7$ , $y = 2 x - 7$
5060	Solve by Substitution	y=2x+8 , 5x+2y=-2	$y = 2 x + 8$ , $5 x + 2 y = - 2$
5061	Solve by Substitution	y=2x-7 , y=-1/2-7	$y = 2 x - 7$ , $y = - \frac{1}{2} - 7$
5062	Solve by Substitution	y=3 square root of x , x=4 , x=9	$y = 3 \sqrt{x}$ , $x = 4$ , $x = 9$
5063	Solve by Substitution	y=3x , y=1/2x+2 1/2	$y = 3 x$ , $y = \frac{1}{2} x + 2 \frac{1}{2}$
5064	Solve by Substitution	y=-3x+7 , 6x+2y=13	$y = - 3 x + 7$ , $6 x + 2 y = 13$
5065	Solve by Substitution	y=3x-11 , x+y=-3	$y = 3 x - 11$ , $x + y = - 3$
5066	Solve by Substitution	y=-3x-3x-3z+17 , x=-2y-z+19 , z=x-y	$y = - 3 x - 3 x - 3 z + 17$ , $x = - 2 y - z + 19$ , $z = x - y$
5067	Solve by Substitution	y=3x-5 , y=5x-7	$y = 3 x - 5$ , $y = 5 x - 7$
5068	Solve by Substitution	y=44x , y=11000+20x	$y = 44 x$ , $y = 11000 + 20 x$
5069	Solve by Substitution	y=48000+1400x , y=1800x	$y = 48000 + 1400 x$ , $y = 1800 x$
5070	Solve by Substitution	y=-4x+2 , 3y+12x=6	$y = - 4 x + 2$ , $3 y + 12 x = 6$
5071	Solve by Substitution	y=-4x+6 , y=2x	$y = - 4 x + 6$ , $y = 2 x$
5072	Solve by Substitution	y=4x-2 , y=-x+18	$y = 4 x - 2$ , $y = - x + 18$
5073	Solve by Substitution	y=4x-5 , 12x-3y=15	$y = 4 x - 5$ , $12 x - 3 y = 15$
5074	Solve by Substitution	y=50x , y=11000+27x	$y = 50 x$ , $y = 11000 + 27 x$
5075	Solve by Substitution	y=6x+13 , x=6y+13	$y = 6 x + 13$ , $x = 6 y + 13$
5076	Solve by Substitution	y=6x+3 , y=x^2+11	$y = 6 x + 3$ , $y = x^{2} + 11$
5077	Solve by Substitution	y=-7.945x-503.944 , y=-15.374x-608.217	$y = - 7.945 x - 503.944$ , $y = - 15.374 x - 608.217$
5078	Solve by Substitution	y=8x+6 , y=3x+36	$y = 8 x + 6$ , $y = 3 x + 36$
5079	Solve by Substitution	y=8x-1 , y=3x-6	$y = 8 x - 1$ , $y = 3 x - 6$
5080	Solve Using a Matrix by Row Operations	x-y+6z=4 , y-9z=-4 , z=3	$x - y + 6 z = 4$ , $y - 9 z = - 4$ , $z = 3$
5081	Solve Using a Matrix by Row Operations	x-y+z=9 , 6x+3y-32=0	$x - y + z = 9$ , $6 x + 3 y - 32 = 0$
5082	Solve Using a Matrix by Row Operations	x-y+z-u+v=-1 , -x+y+u-v=2 , z-9v=1 , x-y+4z-u-4v=2 , x-y+8z-u-9v=6	$x - y + z - u + v = - 1$ , $- x + y + u - v = 2$ , $z - 9 v = 1$ , $x - y + 4 z - u - 4 v = 2$ , $x - y + 8 z - u - 9 v = 6$
5083	Solve Using a Matrix by Row Operations	x-y=1 , 3x-z=12 , 3y+7z=9	$x - y = 1$ , $3 x - z = 12$ , $3 y + 7 z = 9$
5084	Solve Using a Matrix by Row Operations	y=-1+x , y=3+z , z=-2x	$y = - 1 + x$ , $y = 3 + z$ , $z = - 2 x$
5085	Solve Using an Augmented Matrix	0.4x+0.4y+0.2z=17800 , 0.5y+0.5z=31000 , 0.2x+0.3y+0.5z=39200	$0.4 x + 0.4 y + 0.2 z = 17800$ , $0.5 y + 0.5 z = 31000$ , $0.2 x + 0.3 y + 0.5 z = 39200$
5086	Solve Using an Augmented Matrix	1/2x+2y=14 , 3x+16y=0	$\frac{1}{2} x + 2 y = 14$ , $3 x + 16 y = 0$
5087	Solve Using an Augmented Matrix	x+4y+5z=19 , 2x-y+z=2	$x + 4 y + 5 z = 19$ , $2 x - y + z = 2$
5088	Solve Using an Augmented Matrix	1+1+1=0 , 1-1+2=-2 , 4+1+1=-12	$1 + 1 + 1 = 0$ , $1 - 1 + 2 = - 2$ , $4 + 1 + 1 = - 12$
5089	Solve Using an Augmented Matrix	-10x+13y=39 , 10x-13y=-39	$- 10 x + 13 y = 39$ , $10 x - 13 y = - 39$
5090	Solve Using an Augmented Matrix	-10x+25y=-4 , 4x-10y=-4	$- 10 x + 25 y = - 4$ , $4 x - 10 y = - 4$
5091	Solve Using an Augmented Matrix	-10x-15y-Z=-8 , -6x-25y-2z=39 , 8x+15y+z=-2	$- 10 x - 15 y - Z = - 8$ , $- 6 x - 25 y - 2 z = 39$ , $8 x + 15 y + z = - 2$
5092	Solve Using an Augmented Matrix	-10x-3y=-41 , 4x+y=17	$- 10 x - 3 y = - 41$ , $4 x + y = 17$
5093	Solve Using a Matrix by Row Operations	x+y=1 , 0.7x+0.3y=x , 0.3x+0.7y=y	$x + y = 1$ , $0.7 x + 0.3 y = x$ , $0.3 x + 0.7 y = y$
5094	Solve Using a Matrix by Row Operations	x+y=1 , 0.9x+0.2y=x , 0.1x+0.8y=y	$x + y = 1$ , $0.9 x + 0.2 y = x$ , $0.1 x + 0.8 y = y$
5095	Solve Using a Matrix by Row Operations	x+y=1 , 5x-4y=16/5	$x + y = 1$ , $5 x - 4 y = \frac{16}{5}$
5096	Solve Using a Matrix by Row Operations	x+y=11 , 3x+2y=27	$x + y = 11$ , $3 x + 2 y = 27$
5097	Solve Using a Matrix by Row Operations	x+y=11 , 5x+4y=49	$x + y = 11$ , $5 x + 4 y = 49$
5098	Solve Using a Matrix by Row Operations	x+y=19 , 5x+3y=60	$x + y = 19$ , $5 x + 3 y = 60$
5099	Solve Using a Matrix by Row Operations	x+y=6 , 3x+2y=14	$x + y = 6$ , $3 x + 2 y = 14$
5100	Solve Using a Matrix by Elimination	-x-5y=-5 , -2x+15y=2	$- x - 5 y = - 5$ , $- 2 x + 15 y = 2$