Question

What is the solution of the system?

10x−2y=24
6x+2y=8
Enter your answer in the box, as an ordered pair

Answer 1

The solution is (2, -2)

Explanation:

Let's find out the solution of the system:

10x − 2y = 24

6x + 2y = 8

Describing x in terms of y in the first equation, this way:

10x − 2y = 24

10x = 24 + 2y

x = 2 * (12 + y)/10 (Dividing by 10 at both sides)

x = (12 + y)/5 (Simplifying)

Solving for y in the 2nd equation:

6x + 2y = 8

6 * (12 + y)/5 + 2y = 8

(72 + 6y)/5 + 2y = 8

72 + 6y + 10y = 40 (Multiplying by 5 at both sides)

16y = 40 - 72

16y = -32

y = -2

Solving for x in the 1st equation:

10x − 2y = 24

10x - 2 * -2 = 24

10x + 4 = 24

10x = 24 - 4

10x = 20

x = 20/10

x = 2

The solution is (2, -2)