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4. $y = 3x + 5$ $y = x + 1$ solution: $\\underline{(\\quad,\\quad)}$

Question

  1. $y = 3x + 5$

$y = x + 1$
solution: $\underline{(\quad,\quad)}$

Explanation:

Step1: Set equations equal

Since \( y = 3x + 5 \) and \( y = x + 1 \), set \( 3x + 5 = x + 1 \).

Step2: Solve for x

Subtract \( x \) and 5: \( 3x - x = 1 - 5 \) → \( 2x = -4 \) → \( x = -2 \).

Step3: Find y

Substitute \( x = -2 \) into \( y = x + 1 \): \( y = -2 + 1 = -1 \).

Answer:

\((-2, -1)\)