Question

What is the x-coordinate of the solution to the system shown?

3x - y = 6
3x + y = 34

Answer 1

6
`(2)/(3)`

Explanation:

In this equation I will do the elimination method.

3x-y=6

3x+y=34

6x=40

Simplify

x=6
`(2)/(3)`.

Check:

3(6.666...)-y=6

20-y=6

-20 from 6

-y=-14

y=14

20-14=6

6=6

3x(6.666...)+y=34

20+14=34

34=34

Answer 2

To begin, we can convert the equations into slope-intercept form:

3x - y = 6 → y = 3x - 6

3x + y = 34 → y = -3x + 34

Next, we plug it in to become an equation with variables on both sides:

3x - 6 = -3x + 34

→ 6x - 6 = 34

→ 6x = 40

→ x = 6 2/3 OR 6.66666