Question

ve the system by substitution.

y = 3x + 14
y = x

answer attempt 1 out of 2

Explanation:

Step1: Substitute \( y = x \) into \( y = 3x + 14 \)

Since \( y = x \), we can replace \( y \) in the first equation with \( x \). So we get \( x = 3x + 14 \).

Step2: Solve for \( x \)

Subtract \( 3x \) from both sides: \( x - 3x = 3x + 14 - 3x \), which simplifies to \( -2x = 14 \). Then divide both sides by -2: \( x=\frac{14}{-2}=-7 \).

Step3: Find \( y \)

Since \( y = x \), and we found \( x = -7 \), then \( y=-7 \).

Answer:

The solution to the system is \( x = -7 \), \( y = -7 \) (or as an ordered pair \((-7, -7)\))