math

Student 's name

Professor 's name

Course name

Date

Solve for X and Y in the following problems . Make sure you show all your work so you can get partial credit even if your final answer is wrong

a . X Y 7 , X 2Y 11

Solution

Let X Y 7 represent equation 1

X 2Y 1 represent equation 2

From equation 1

X 7 - Y (equation 3

Substitute equation 3 in equation 2 (7-Y 2Y 11

7 Y 11

Y 11 - 7

Y 4 p

Substitute the value of Y in equation 3

X 7 - 4

X 3

Use equations 1 and 2 to check if values are right

3 4 7 3 2 (4 11

7 7 11 11

Answers : X 3 and Y 4

b . 3X 7Y 24 , 9X 5Y 24

Solution

Let 3X 7Y 24 represent equation 1

9X 5Y 24 represent equation 2

Add equation 1 and 2

12X 12Y 48

X Y 4

X 4 - Y (equation 3

Substitute equation 3 in equation 1

3X 7 (4 - Y 24

3X 28 - 7X 24

4X 4

X 1

Substitute the value of X in equation 2

9 (1 5Y 24

5Y 24 - 9

Y 15 / 15

Y 3

Use equations 1 and 2 to check if values are right

3 (1 7 (3 24 9 (1 5 (3 24

24 24 24 24

Answers : X 1 and Y 3

c . 4X Y 17 , 2X 3Y 21

Solution

Let 4X Y 17 represent equation 1

2X 3Y 21...