Question

Y=3x+62x+4y=−4 What is the value of y in the system?

Answer 1

9514 1404 393

Answer:

  y = 0

Step-by-step explanation:

We assume you want to find y such that ...

• y = 3x +6
• 2x +4y = -4

Dividing the second equation by 2, we can write an expression for x.

  x +2y = -2

  x = -2y -2

Substituting this into the first equation gives ...

  y = 3(-2y -2) +6

  y = -6y -6 +6 . . . eliminate parentheses

  7y = 0 . . . . . . . . . add 6y

  y = 0 . . . . . . . . . . divide by 7

The value of y in the system of equations is 0.