Question

A system of equations is shown below: 3x − y = 2 x + y = 6 The x-coordinate of the solution to this system of equations is _____.

Answer 1

Therefore the x-coordinate of the solution to this system is 2.4.

Explanation:

Given system of equation is

3x-y=6............(1)

and 2x+y=6...........(2)

Adding equation (1) and (2)

3x -y+2x-y=6+6

⇔5x =12

`\Leftrightarrow x=(12)/(5)`

⇔x = 2.4

Putting the value of x in equation (1)

3×2.4 - y =6

⇔7.2 -y = 6

⇔y = 7.2-6

⇔y=1.2

Therefore the x-coordinate of the solution to this system is 2.4.

Explanation: