Tutors Answer Your Questions about Systems-of-equations (FREE)
Question 226682: I need help with figuring out how to do a problem like this:
Solve the following systems of equations using any method. Check each solution, if possible:
a. -2x+3y=1
2x+6y=2
solution:
Solve the second equation for x
(you could solve for y - it
doesn't matter).
2x + 6 y = 2 becomes x = -3y +1
Now, substitute -3y +1
for x in the first equation. This gives
the equation -2(-3y +1)+3y = 1
6y -2 +3y =1
9y -2 =1
9y= 3
y=3/9 or y = 1/3
Now, substitute 1/3 for y in
either equation and solve for x.
(We use the second equation below.)
2x + 6(1/3) = 2
2x + 2 = 2
2x = 2- 2
2x =0 , x = 0
The solution is the ordered pair,
(0, 1/3).
now you can check where you see x just replace with 0 , and where see y just replace it with (1/3)..
good luck
Click here to see answer by 3788(5) |
Question 230458: A music store is selling posters and CDs. Each poster gives a profit of $3.00 and each CD gives a profit of $5.00. The store needs to make an average profit of $200 per hour to stay in business. Let x represent the number of posters sold and y represent the number of CDs sold. Write and graph an inequality showing how many of each item (posters and CDs) the store needs to sell per hour to make a sufficient profit.
Click here to see answer by stanbon(57361) |
|
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555
|