W1A4 – College Algebra . System graphically. 4y = x + 4 X = 2/3 y + 8/3

W1A4 – College Algebra

1.)    System graphically.

4y = x + 4

X = 2/3 y + 8/3

2.)    System Graphically.

3x – y = 9

9x – 3y = 9

3.)    Translate to a system of equations but do not solve.

A store sold 23 sweatshirts. White ones cost $11.95 and yellow ones cost $11.50

If $267.20 worth of sweatshirts were sold, how many of each were sold?

Let x = the number of white sweatshirts.

Let y = the number of yellow sweatshirts.

Complete the system of equations

4.)    Translate to a system of equations but do not solve.

The perimeter of a standard tennis court when used for double play is 228 ft. The width is 23 ft. less than the length. Find the dimensions.

5.)    Solve using the substitution method.

2x + 3y = 5

X = 16 – 6y

6.)    Solve using the substitution method.

12x – 4y = 12

3x – 3 = y

7.)    Solve the system of equations using the substitution method.

2x + 3y = -4

2x – y = 7

8.)    Solve using the elimination method.

7x + 3y = -8

X – 6y = -14

9.)    One day a store sold 31 sweatshirts. White ones cost $11.95 and yellow ones cost $12.50 In all, $379.80 worth of sweatshirts were sold. How many of each color were sold?

10.)                        $5900.00 is invested, part of it at 10% and part of it at 7%. For a certain year, the total yield is $506.00 How much was invested at each rate?