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 . (1 point)

Answer 1

x=2

Explanation:

3x − y = 2

x + y = 6

Add the two equations together to eliminate y

3x − y = 2

x + y = 6

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

4x + 0y = 8

Divide by 4

4x/4 = 8/4

x =2

Answer 2

x = 2

Explanation:

Step 1: Rewrite 2nd equation

3x - y = 2

y = 6 - x

Step 2: Substitution

3x - (6 - x) = 2

Step 3: Solve x

3x - 6 + x = 2

4x - 6 = 2

4x = 8

x = 2