Question

no additional details were added for this assignment. solve the system by substitution. 7x - 3y = 8; y = 3x

Explanation:

Step1: Substitute \( y = 3x \) into \( 7x - 3y = 8 \)

Substitute \( y \) in the first equation with \( 3x \), we get \( 7x - 3(3x) = 8 \).

Step2: Simplify the equation

Simplify \( 7x - 9x = 8 \), which is \( -2x = 8 \).

Step3: Solve for \( x \)

Divide both sides by \( -2 \), \( x = \frac{8}{-2} = -4 \).

Step4: Solve for \( y \)

Substitute \( x = -4 \) into \( y = 3x \), so \( y = 3\times(-4) = -12 \).

Answer:

The solution to the system is \( x = -4 \), \( y = -12 \) (or as an ordered pair \((-4, -12)\))