What is the solution to the system? use elimination .
-18.6x+ 17.2y=90.2
14.2x+ 3.4y= -35.8
a.(3,2)
b.(-3,2)
c.(2/3,4/9)
d.(2,3)
IS IT D??
Terry and ed start a lawn mowing business and purchase mowers and equipment for $800. They charge $20 for each lawn and $4 worth of gas for each job. How many laws must Terry and Ed mow before breaking even?
a .34 lawns
b. 40 lawns
c. 50 lawns
d. 20 lawns
IS IT A ????
At the local ballpark, the team charges $5.00 for each ticket and expects to make $1,300.00 in concessions. the team must pay in players $1,800.00 and pay all the workers $1,500.00. Each fan gets a free bat, costs the team $3.00 per bat of the following, what is the smallest number of tickets that must be sold to break even???
a. 2,300 tickets
b. 400 tickets
c .250 tickets
d. 1,000 tickets
IS IT D????
A restaurant has one type of lemonade that has 12% sugar and another that is 7% sugar. How many gallons of each does the restaurant need to make 20 gallons of a lemonade mixture that is 10% sugar?
a. 12 gallons of the 12% lemonade and 8 gallons of the 7% lemonade.
b.10 gallons of the 12% lemonade and 10 gallons of the 7% lemonade.
c.8 gallons of the 12% lemonade and 12 gallons of the 7% lemonade.
d.2 gallons of the 12% lemonade and 18 gallons of the 7% lemonade.
IS IT D ?????
A science teacher has supply of 50% methane solution and a supply of 80% methane solution.How much of each solution should the teacher mix together to get 105 mL of 60% methane solution for an experiment.
a. 70 mL of the 50% solution and 35 mL of the 80% solution
b. 35 mL of the 50% solution and 70 mL of the 80% solution
c. 62 mL of the 50% solution and 43 mL of the 80% solution
d. 43 mL of the 50% solution and 62 mL of the 80% solution
IS IT C????
For the given system of equations:
-18.6x + 17.2y = 90.2
14.2x + 3.4y = -35.8
To solve this system using elimination, multiply the first equation by 2 and the second equation by 5 to make the coefficients of x in both equations equal:
-37.2x + 34.4y = 180.4
71x + 17y = -179
Add the two equations:
(71x - 37.2x) + (17y + 34.4y) = -179 + 180.4
33.8x + 51.4y = 1.4
Now we have a new system of equations:
33.8x + 51.4y = 1.4
14.2x + 3.4y = -35.8
Next, multiply the second equation by -10 to make the coefficients of x in both equations equal:
33.8x + 51.4y = 1.4
-142x - 34y = 358
Add the two equations:
(33.8x - 142x) + (51.4y - 34y) = 1.4 + 358
-108.2x + 17.4y = 359.4
Now we have another new system of equations:
-108.2x + 17.4y = 359.4
33.8x + 51.4y = 1.4
Multiply the first equation by 3.8 to eliminate x:
(-108.2x + 51.4y) + (33.8x + 51.4y) = (359.4) + (1.4)
-408.76x + 195.32y + 1289.32y + 1.4 = 360.8
Combine like terms:
(-408.76x + 33.8x) + (195.32y + 1289.32y) = 360.8 - 1.4
-375.96x + 1484.64y = 359.4
Now we have one final equation:
-375.96x + 1484.64y = 359.4
To solve for x, isolate x by dividing the equation by -375.96:
x = (1484.64y - 359.4) / -375.96
This equation gives the value of x in terms of y. The solution to the system will have values of x and y that satisfy both equations.