Question

question
solve the system by substitution.
$x = y$
$-3x - y = 4$
answer attempt 1 out of 2
(\square, \square) submit answer

Explanation:

Step1: Substitute \( x = y \) into the second equation

We have the second equation \( -3x - y = 4 \). Since \( x = y \), we can replace \( y \) with \( x \) (or \( x \) with \( y \)) in this equation. Substituting \( y = x \) into \( -3x - y = 4 \), we get \( -3x - x = 4 \).

Step2: Simplify and solve for \( x \)

Combining like terms in \( -3x - x = 4 \), we have \( -4x = 4 \). Dividing both sides by \( -4 \), we get \( x=\frac{4}{-4}=-1 \).

Step3: Find the value of \( y \)

Since \( x = y \) (from the first equation), and we found \( x = -1 \), then \( y = -1 \) as well.

Answer:

\((-1, -1)\)