Question

use substitution to solve the system of equations.
y = 3x - 34
y = 2x - 5

Explanation:

Step1: Substitute y from first equation into second

Since \( y = 3x - 34 \) and \( y = 2x - 5 \), set \( 3x - 34 = 2x - 5 \).

Step2: Solve for x

Subtract \( 2x \) from both sides: \( 3x - 2x - 34 = -5 \), so \( x - 34 = -5 \). Add 34 to both sides: \( x = -5 + 34 = 29 \).

Step3: Find y using x = 29

Substitute \( x = 29 \) into \( y = 2x - 5 \): \( y = 2(29) - 5 = 58 - 5 = 53 \).

Answer:

The solution is \( x = 29 \), \( y = 53 \) (or the ordered pair \((29, 53)\)).