Question

What is the value of x in the solution to the system of linear equations?

y = 3x+2
y = x-4

Answer 1

Hi there! The answer is x = -3

y = 3x + 2
y = x - 4

Since y equals 3x + 2 AND y equals x - 4, we can say that 3x + 2 equals x - 4. So, we get

`3x + 2 = x - 4`

Collect the terms (subtract x from both sides and subtract 2 from both sides)

`2x = - 6`

Divide by 2

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

Therefore x = -3

Answer 2

Since y=x-4 you would simply just plug that into 'y' on the other equation, given: x-4=3x+2.
Subtract x from both sides, it will leave you with -4=2x+2.
Next you would subtract 2 from both sides, leaving you with -6=2x.
All you need now is to get rid of the coefficient in front of 'x' so you divide both sides with 2, leaving you with your answer: -3=x.

Answer: -3=x

Hope this helps!