Solve the system by substitution. $$ \begin{array}{l}y=6 x-24 \ y=-2 x\end{array} $$ Answer Attempt 1 out of 2

Question

UpStudy AI · Accepted Answer

We are given the system:
  y = 6x – 24
  y = –2x

Step 1: Since both expressions equal y, set them equal to each other:
  6x – 24 = –2x

Step 2: Solve for x.
  6x + 2x = 24    (Add 2x to both sides)
  8x = 24
  x = 24 ÷ 8 = 3

Step 3: Substitute x = 3 back into one of the equations to find y. We'll use y = –2x:
  y = –2(3) = –6

Thus, the solution to the system is:
  x = 3, y = –6.
The solution to the system is $$ x = 3 $$ and $$ y = -6 $$.

Solve the system by substitution. \[ \begin{array}{l}y=6 x-24 \\ y=-2 x\end{array} \] Answer Attempt 1 out of 2