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SOLVE THE SYSTEM OF EQUATIONS

y = - 3x + 4
y + 3x = - 4

1 answer

To solve the system of equations, we have the following two equations:

  1. \( y = -3x + 4 \)
  2. \( y + 3x = -4 \)

We can use substitution or elimination. Here, we'll use substitution since the first equation gives us \( y \) in terms of \( x \).

  1. From the first equation, we have: \[ y = -3x + 4 \]

  2. Substitute \( y \) from the first equation into the second equation: \[ (-3x + 4) + 3x = -4 \]

  3. Simplifying the left side: \[ -3x + 4 + 3x = -4 \] \[ 4 = -4 \]

This statement \( 4 = -4 \) is a contradiction, meaning that there are no values of \( x \) and \( y \) that satisfy both equations simultaneously.

Thus, the system of equations is inconsistent and has no solution.