fisham52
fisham52 fisham52
  • 09-01-2023
  • Mathematics
contestada

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

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

Respuesta :

evanaperson evanaperson
  • 09-01-2023

Answer:

6[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

In this equation I will do the elimination method.

3x-y=6

3x+y=34

6x=40

Simplify

x=6[tex]\frac{2}{3}[/tex].

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 Link
kendallsykes10p4b3jl
kendallsykes10p4b3jl kendallsykes10p4b3jl
  • 09-01-2023
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
Answer Link

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