Question

1. solve the system ( x = y + 4 ) and ( x + y = 10 ). enter your answer as an ordered pair.

Explanation:

Step1: Substitute \( x = y + 4 \) into \( x + y = 10 \)

Substitute \( x \) in the second equation: \( (y + 4) + y = 10 \)

Step2: Simplify and solve for \( y \)

Combine like terms: \( 2y + 4 = 10 \)
Subtract 4 from both sides: \( 2y = 10 - 4 = 6 \)
Divide by 2: \( y = \frac{6}{2} = 3 \)

Step3: Find \( x \) using \( x = y + 4 \)

Substitute \( y = 3 \): \( x = 3 + 4 = 7 \)

Answer:

\((7, 3)\)