Please see attached file for full problem description.

1. Two cars leave a restaurant at the same time and travel in opposite directions. One averages 50 miles per hour and the other averages 40 miles per hour. After how long will they be 216 miles apart?

2. How many gallons of a 4% acid solution should be mixed with 20 gallons of a 10% acid solution to obtain a mixture that is 5% acid?

3. Complete the table of values for

x | | (x,y)
0 | |
3 | |
6 | |

4. Determine if the ordered pair (0, 2) is a solution of -3x + y = 2.

5. Determine whether the lines through each pair of points are parallel. Tell how you determined the answer.
(0, 1) and (3, 7)
(1, 1) and (2, 3)

Systems of Equations Word Problems are solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

Solve for x and y in the following two sets of simultaneous equations:
4x-2y = 1 ......(i)
8x-4y = 1 ......(ii)
y = 2x + 3.......(i)
2y - 4x = 6 .....(ii)

1. What is a system of equations?
2. Solve for X and Y in the following problems. Show all your work.
a. X + Y= 10 , 3X + Y = 12
b. 2X + 5Y = 19 , 3X + 3Y = 15
c. 4X + Y = 22 , 2X + 3Y = 16
d. 12X + Y = 174 , 8X - 2Y = 36
3. Suppose Bob owns 2,000 shares of Company X and 10,000 shares of Company Y

Please help me solve the following system of three equations and discribe the methods that are being used to help me understand:
X + Y + Z = 6
2X - Y + 3Z = 8
3X - 2Y - Z = -17
Thank you!

Write a system of equations and then solve the following using matrix inverses.
Consider a company that specializes in gourmet chocolate baked goods-chocolate muffins, cookies and brownies. Each chocolate muffin requires 2 units of chocolate, 3 units of flour and 2 units of sugar. Each chocolate cookie requires 1 unit of c

1) Solve by the addition method.
3x + 2y = 14
3x - 2y = 10
2) Solve by the addition method
5x = 6y + 50
2y = 8 - 3x
3) Solve. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.
4) Can't type fractions, so

Hello again ! trying to solve for x and Y in the following problems. please explain
1.
a. X + Y=6 ; 2X + Y =8 b. 7X + 3Y=14 ; 5X + 9Y= 10
c. 4X + Y= 16 ; 2X + 3Y= 24 d. 12X + Y= 25 ; 8X - 2Y= 14
2. Suppose Bob owns 8000 shares of company X and 6000 shares of Company Y. The total value of Bobs holding of these

I would like to know if I am on the right track to writin this as a "systems of equations" using the substitution process. How much further do I have to go if this is right so far?
A family made an investment for 1 year that earned $7.50 simple interest. If the principal had been $25 more and the interest rate 1% less, the in