Question

14. Solve this system of equations:
4x + 2y = 22
3x – 2y = 13

Answer 1

(5, 1); x = 5 and y = 1.

Explanation:

Step 1: Add the system of equations

4x + 2y = 22

3x - 2y = 13

-----------------------------

7x = 35

Step 2: Solve for x

x = 5

Step 3: Substitute the value of x in one of the original equations

4(5) + 2y = 22

Step 4: Solve for y

20 + 2y = 22

2y = 2

y = 1

Step 5: Write your answer as an ordered pair

(5, 1)

Answer 2

(x,y)= (5,1)

Explanation:

4x+2y=22

3x-2y=13

2y=22-4x

3x-2y=13

3x-(22-4x)=13

x=5

3·5-2y=13

y=1

(x,y)= (5,1)