Question

SOLVE THE SYSTEM OF EQUATIONS
y = - 3x + 4
y + 3x = - 4

Answer 1

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.