Question

practice exercises lesson 7.3b
solve the system of equation using the method of your choice.
x = 9 - 2y
x + 2y = 13
○ no solution
○ infinite solution
○ (5, 2)
○ (3, 5)

Explanation:

Step1: Substitute \( x = 9 - 2y \) into the second equation

Substitute \( x \) in \( x + 2y = 13 \) with \( 9 - 2y \), we get \( (9 - 2y) + 2y = 13 \).

Step2: Simplify the equation

Simplify the left - hand side of the equation: \( 9-2y + 2y=9 \). So the equation becomes \( 9 = 13 \), which is a false statement.

Answer:

No Solution